%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN470+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 13:53:12 EDT 2022 % Result : Theorem 0.92s 1.11s % Output : Proof 1.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN470+1 : TPTP v8.1.0. Released v2.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n009.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jul 12 00:05:22 EDT 2022 % 0.12/0.34 % CPUTime : % 0.92/1.11 (* PROOF-FOUND *) % 0.92/1.11 % SZS status Theorem % 0.92/1.11 (* BEGIN-PROOF *) % 0.92/1.11 % SZS output start Proof % 0.92/1.11 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c3_1 (a494))/\((~(c0_1 (a494)))/\(~(c2_1 (a494)))))))/\(((~(hskp1))\/((ndr1_0)/\((c1_1 (a495))/\((~(c0_1 (a495)))/\(~(c3_1 (a495)))))))/\(((~(hskp2))\/((ndr1_0)/\((~(c1_1 (a496)))/\((~(c2_1 (a496)))/\(~(c3_1 (a496)))))))/\(((~(hskp3))\/((ndr1_0)/\((c2_1 (a497))/\((~(c0_1 (a497)))/\(~(c1_1 (a497)))))))/\(((~(hskp4))\/((ndr1_0)/\((c1_1 (a498))/\((~(c0_1 (a498)))/\(~(c2_1 (a498)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a499))/\((c2_1 (a499))/\(~(c1_1 (a499)))))))/\(((~(hskp6))\/((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501)))))))/\(((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502)))))))/\(((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))))/\(((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))))/\(((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))))/\(((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530)))))))/\(((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))))/\(((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a536)))/\((~(c1_1 (a536)))/\(~(c2_1 (a536)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))))/\(((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554)))))))/\(((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))))/\(((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568)))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))))/\(((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))))/\(((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)\/(~(c2_1 V))))))\/(hskp0)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp9)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp30)\/(hskp4)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((hskp1)\/(hskp7)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp28)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp14)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17)))/\(((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp20)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7)))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((hskp12)\/(hskp20)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29)))/\(((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/(hskp20)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp31)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((hskp15)\/(hskp10)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((hskp16)\/(hskp25)))/\(((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0)))/\(((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8)))/\(((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3)))/\(((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19)))/\(((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17)))/\(((hskp15)\/((hskp13)\/(hskp12)))/\(((hskp28)\/((hskp13)\/(hskp10)))/\(((hskp28)\/((hskp21)\/(hskp20)))/\(((hskp13)\/((hskp6)\/(hskp14)))/\(((hskp27)\/((hskp10)\/(hskp26)))/\(((hskp11)\/((hskp17)\/(hskp26)))/\((hskp4)\/((hskp8)\/(hskp2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.92/1.11 Proof. % 0.92/1.11 assert (zenon_L1_ : (~(hskp13)) -> (hskp13) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1 zenon_H2. % 0.92/1.11 exact (zenon_H1 zenon_H2). % 0.92/1.11 (* end of lemma zenon_L1_ *) % 0.92/1.11 assert (zenon_L2_ : (~(hskp6)) -> (hskp6) -> False). % 0.92/1.11 do 0 intro. intros zenon_H3 zenon_H4. % 0.92/1.11 exact (zenon_H3 zenon_H4). % 0.92/1.11 (* end of lemma zenon_L2_ *) % 0.92/1.11 assert (zenon_L3_ : (~(hskp14)) -> (hskp14) -> False). % 0.92/1.11 do 0 intro. intros zenon_H5 zenon_H6. % 0.92/1.11 exact (zenon_H5 zenon_H6). % 0.92/1.11 (* end of lemma zenon_L3_ *) % 0.92/1.11 assert (zenon_L4_ : ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp13)) -> (~(hskp6)) -> (~(hskp14)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.92/1.11 exact (zenon_H1 zenon_H2). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.92/1.11 exact (zenon_H3 zenon_H4). % 0.92/1.11 exact (zenon_H5 zenon_H6). % 0.92/1.11 (* end of lemma zenon_L4_ *) % 0.92/1.11 assert (zenon_L5_ : (~(hskp15)) -> (hskp15) -> False). % 0.92/1.11 do 0 intro. intros zenon_H9 zenon_Ha. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 (* end of lemma zenon_L5_ *) % 0.92/1.11 assert (zenon_L6_ : (~(hskp12)) -> (hskp12) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb zenon_Hc. % 0.92/1.11 exact (zenon_Hb zenon_Hc). % 0.92/1.11 (* end of lemma zenon_L6_ *) % 0.92/1.11 assert (zenon_L7_ : ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp15)) -> (~(hskp13)) -> (~(hskp12)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hd zenon_H9 zenon_H1 zenon_Hb. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_Ha | zenon_intro zenon_He ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_He); [ zenon_intro zenon_H2 | zenon_intro zenon_Hc ]. % 0.92/1.11 exact (zenon_H1 zenon_H2). % 0.92/1.11 exact (zenon_Hb zenon_Hc). % 0.92/1.11 (* end of lemma zenon_L7_ *) % 0.92/1.11 assert (zenon_L8_ : (~(hskp28)) -> (hskp28) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf zenon_H10. % 0.92/1.11 exact (zenon_Hf zenon_H10). % 0.92/1.11 (* end of lemma zenon_L8_ *) % 0.92/1.11 assert (zenon_L9_ : (~(hskp10)) -> (hskp10) -> False). % 0.92/1.11 do 0 intro. intros zenon_H11 zenon_H12. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 (* end of lemma zenon_L9_ *) % 0.92/1.11 assert (zenon_L10_ : ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp28)) -> (~(hskp13)) -> (~(hskp10)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H13 zenon_Hf zenon_H1 zenon_H11. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H10 | zenon_intro zenon_H14 ]. % 0.92/1.11 exact (zenon_Hf zenon_H10). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14); [ zenon_intro zenon_H2 | zenon_intro zenon_H12 ]. % 0.92/1.11 exact (zenon_H1 zenon_H2). % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 (* end of lemma zenon_L10_ *) % 0.92/1.11 assert (zenon_L11_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.92/1.11 do 0 intro. intros zenon_H15 zenon_H16. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 (* end of lemma zenon_L11_ *) % 0.92/1.11 assert (zenon_L12_ : (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H17 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 0.92/1.11 generalize (zenon_H17 (a528)). zenon_intro zenon_H1b. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_H15 | zenon_intro zenon_H1c ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.92/1.11 exact (zenon_H18 zenon_H1e). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ]. % 0.92/1.11 exact (zenon_H20 zenon_H19). % 0.92/1.11 exact (zenon_H1f zenon_H1a). % 0.92/1.11 (* end of lemma zenon_L12_ *) % 0.92/1.11 assert (zenon_L13_ : (forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92)))))) -> (ndr1_0) -> (c0_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a500)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H21 zenon_H16 zenon_H22 zenon_H23 zenon_H24. % 0.92/1.11 generalize (zenon_H21 (a500)). zenon_intro zenon_H25. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H15 | zenon_intro zenon_H26 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.92/1.11 exact (zenon_H28 zenon_H22). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.92/1.11 exact (zenon_H2a zenon_H23). % 0.92/1.11 exact (zenon_H29 zenon_H24). % 0.92/1.11 (* end of lemma zenon_L13_ *) % 0.92/1.11 assert (zenon_L14_ : (~(hskp2)) -> (hskp2) -> False). % 0.92/1.11 do 0 intro. intros zenon_H2b zenon_H2c. % 0.92/1.11 exact (zenon_H2b zenon_H2c). % 0.92/1.11 (* end of lemma zenon_L14_ *) % 0.92/1.11 assert (zenon_L15_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(hskp2)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H2d zenon_H2e zenon_H1a zenon_H19 zenon_H18 zenon_H2b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H31 ]. % 0.92/1.11 apply (zenon_L12_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H21 | zenon_intro zenon_H2c ]. % 0.92/1.11 apply (zenon_L13_); trivial. % 0.92/1.11 exact (zenon_H2b zenon_H2c). % 0.92/1.11 (* end of lemma zenon_L15_ *) % 0.92/1.11 assert (zenon_L16_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H32 zenon_H33 zenon_H2e zenon_H2b zenon_H1 zenon_H11 zenon_H13. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.92/1.11 apply (zenon_L10_); trivial. % 0.92/1.11 apply (zenon_L15_); trivial. % 0.92/1.11 (* end of lemma zenon_L16_ *) % 0.92/1.11 assert (zenon_L17_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H11 zenon_H13 zenon_H1 zenon_Hb zenon_Hd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.92/1.11 apply (zenon_L7_); trivial. % 0.92/1.11 apply (zenon_L16_); trivial. % 0.92/1.11 (* end of lemma zenon_L17_ *) % 0.92/1.11 assert (zenon_L18_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H37 zenon_H16 zenon_H38 zenon_H39 zenon_H3a zenon_H3b. % 0.92/1.11 generalize (zenon_H37 (a520)). zenon_intro zenon_H3c. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H15 | zenon_intro zenon_H3d ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.92/1.11 generalize (zenon_H38 (a520)). zenon_intro zenon_H40. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H15 | zenon_intro zenon_H41 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ]. % 0.92/1.11 exact (zenon_H43 zenon_H39). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 0.92/1.11 exact (zenon_H45 zenon_H3f). % 0.92/1.11 exact (zenon_H44 zenon_H3a). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H46 | zenon_intro zenon_H43 ]. % 0.92/1.11 exact (zenon_H3b zenon_H46). % 0.92/1.11 exact (zenon_H43 zenon_H39). % 0.92/1.11 (* end of lemma zenon_L18_ *) % 0.92/1.11 assert (zenon_L19_ : (~(hskp8)) -> (hskp8) -> False). % 0.92/1.11 do 0 intro. intros zenon_H47 zenon_H48. % 0.92/1.11 exact (zenon_H47 zenon_H48). % 0.92/1.11 (* end of lemma zenon_L19_ *) % 0.92/1.11 assert (zenon_L20_ : (~(hskp31)) -> (hskp31) -> False). % 0.92/1.11 do 0 intro. intros zenon_H49 zenon_H4a. % 0.92/1.11 exact (zenon_H49 zenon_H4a). % 0.92/1.11 (* end of lemma zenon_L20_ *) % 0.92/1.11 assert (zenon_L21_ : (~(hskp4)) -> (hskp4) -> False). % 0.92/1.11 do 0 intro. intros zenon_H4b zenon_H4c. % 0.92/1.11 exact (zenon_H4b zenon_H4c). % 0.92/1.11 (* end of lemma zenon_L21_ *) % 0.92/1.11 assert (zenon_L22_ : (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (c0_1 (a522)) -> (c1_1 (a522)) -> (c2_1 (a522)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H38 zenon_H16 zenon_H4d zenon_H4e zenon_H4f. % 0.92/1.11 generalize (zenon_H38 (a522)). zenon_intro zenon_H50. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H50); [ zenon_intro zenon_H15 | zenon_intro zenon_H51 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ]. % 0.92/1.11 exact (zenon_H53 zenon_H4d). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ]. % 0.92/1.11 exact (zenon_H55 zenon_H4e). % 0.92/1.11 exact (zenon_H54 zenon_H4f). % 0.92/1.11 (* end of lemma zenon_L22_ *) % 0.92/1.11 assert (zenon_L23_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> (~(hskp8)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H56 zenon_H57 zenon_Hb zenon_H47. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H38 | zenon_intro zenon_H5a ]. % 0.92/1.11 apply (zenon_L22_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_Hc | zenon_intro zenon_H48 ]. % 0.92/1.11 exact (zenon_Hb zenon_Hc). % 0.92/1.11 exact (zenon_H47 zenon_H48). % 0.92/1.11 (* end of lemma zenon_L23_ *) % 0.92/1.11 assert (zenon_L24_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (ndr1_0) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H5b zenon_H57 zenon_H47 zenon_Hb zenon_H3b zenon_H3a zenon_H39 zenon_H16 zenon_H4b zenon_H5c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H38 | zenon_intro zenon_H5a ]. % 0.92/1.11 apply (zenon_L18_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_Hc | zenon_intro zenon_H48 ]. % 0.92/1.11 exact (zenon_Hb zenon_Hc). % 0.92/1.11 exact (zenon_H47 zenon_H48). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4a | zenon_intro zenon_H4c ]. % 0.92/1.11 exact (zenon_H49 zenon_H4a). % 0.92/1.11 exact (zenon_H4b zenon_H4c). % 0.92/1.11 apply (zenon_L23_); trivial. % 0.92/1.11 (* end of lemma zenon_L24_ *) % 0.92/1.11 assert (zenon_L25_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H5e zenon_H5b zenon_H57 zenon_H47 zenon_Hb zenon_H4b zenon_H5c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_L24_); trivial. % 0.92/1.11 (* end of lemma zenon_L25_ *) % 0.92/1.11 assert (zenon_L26_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H61 zenon_H5b zenon_H57 zenon_H47 zenon_H4b zenon_H5c zenon_Hd zenon_Hb zenon_H13 zenon_H11 zenon_H2b zenon_H2e zenon_H33 zenon_H36. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.92/1.11 apply (zenon_L17_); trivial. % 0.92/1.11 apply (zenon_L25_); trivial. % 0.92/1.11 (* end of lemma zenon_L26_ *) % 0.92/1.11 assert (zenon_L27_ : (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H62 zenon_H16 zenon_H63 zenon_H64 zenon_H65. % 0.92/1.11 generalize (zenon_H62 (a514)). zenon_intro zenon_H66. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_H15 | zenon_intro zenon_H67 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H69 | zenon_intro zenon_H68 ]. % 0.92/1.11 exact (zenon_H63 zenon_H69). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 0.92/1.11 exact (zenon_H6b zenon_H64). % 0.92/1.11 exact (zenon_H6a zenon_H65). % 0.92/1.11 (* end of lemma zenon_L27_ *) % 0.92/1.11 assert (zenon_L28_ : (~(hskp25)) -> (hskp25) -> False). % 0.92/1.11 do 0 intro. intros zenon_H6c zenon_H6d. % 0.92/1.11 exact (zenon_H6c zenon_H6d). % 0.92/1.11 (* end of lemma zenon_L28_ *) % 0.92/1.11 assert (zenon_L29_ : (~(hskp26)) -> (hskp26) -> False). % 0.92/1.11 do 0 intro. intros zenon_H6e zenon_H6f. % 0.92/1.11 exact (zenon_H6e zenon_H6f). % 0.92/1.11 (* end of lemma zenon_L29_ *) % 0.92/1.11 assert (zenon_L30_ : ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp26)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H6c zenon_H6e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H62 | zenon_intro zenon_H71 ]. % 0.92/1.11 apply (zenon_L27_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H6d | zenon_intro zenon_H6f ]. % 0.92/1.11 exact (zenon_H6c zenon_H6d). % 0.92/1.11 exact (zenon_H6e zenon_H6f). % 0.92/1.11 (* end of lemma zenon_L30_ *) % 0.92/1.11 assert (zenon_L31_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (ndr1_0) -> (~(c0_1 (a559))) -> (~(c2_1 (a559))) -> (~(c3_1 (a559))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H72 zenon_H16 zenon_H73 zenon_H74 zenon_H75. % 0.92/1.11 generalize (zenon_H72 (a559)). zenon_intro zenon_H76. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H77 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H79 | zenon_intro zenon_H78 ]. % 0.92/1.11 exact (zenon_H73 zenon_H79). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 0.92/1.11 exact (zenon_H74 zenon_H7b). % 0.92/1.11 exact (zenon_H75 zenon_H7a). % 0.92/1.11 (* end of lemma zenon_L31_ *) % 0.92/1.11 assert (zenon_L32_ : (~(hskp11)) -> (hskp11) -> False). % 0.92/1.11 do 0 intro. intros zenon_H7c zenon_H7d. % 0.92/1.11 exact (zenon_H7c zenon_H7d). % 0.92/1.11 (* end of lemma zenon_L32_ *) % 0.92/1.11 assert (zenon_L33_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H7e zenon_H7f zenon_H11 zenon_H7c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 0.92/1.11 apply (zenon_L31_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 exact (zenon_H7c zenon_H7d). % 0.92/1.11 (* end of lemma zenon_L33_ *) % 0.92/1.11 assert (zenon_L34_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H83 zenon_H7f zenon_H7c zenon_H11 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_L30_); trivial. % 0.92/1.11 apply (zenon_L33_); trivial. % 0.92/1.11 (* end of lemma zenon_L34_ *) % 0.92/1.11 assert (zenon_L35_ : (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (ndr1_0) -> (~(c0_1 (a558))) -> (~(c3_1 (a558))) -> (c2_1 (a558)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H84 zenon_H16 zenon_H85 zenon_H86 zenon_H87. % 0.92/1.11 generalize (zenon_H84 (a558)). zenon_intro zenon_H88. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H88); [ zenon_intro zenon_H15 | zenon_intro zenon_H89 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ]. % 0.92/1.11 exact (zenon_H85 zenon_H8b). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H8d | zenon_intro zenon_H8c ]. % 0.92/1.11 exact (zenon_H86 zenon_H8d). % 0.92/1.11 exact (zenon_H8c zenon_H87). % 0.92/1.11 (* end of lemma zenon_L35_ *) % 0.92/1.11 assert (zenon_L36_ : (~(hskp30)) -> (hskp30) -> False). % 0.92/1.11 do 0 intro. intros zenon_H8e zenon_H8f. % 0.92/1.11 exact (zenon_H8e zenon_H8f). % 0.92/1.11 (* end of lemma zenon_L36_ *) % 0.92/1.11 assert (zenon_L37_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (c2_1 (a558)) -> (~(c3_1 (a558))) -> (~(c0_1 (a558))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp30)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H90 zenon_H87 zenon_H86 zenon_H85 zenon_H16 zenon_H1 zenon_H8e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H84 | zenon_intro zenon_H91 ]. % 0.92/1.11 apply (zenon_L35_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H2 | zenon_intro zenon_H8f ]. % 0.92/1.11 exact (zenon_H1 zenon_H2). % 0.92/1.11 exact (zenon_H8e zenon_H8f). % 0.92/1.11 (* end of lemma zenon_L37_ *) % 0.92/1.11 assert (zenon_L38_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a527))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W))))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H92 zenon_H16 zenon_H93 zenon_H94 zenon_H95 zenon_H96. % 0.92/1.11 generalize (zenon_H92 (a527)). zenon_intro zenon_H97. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H97); [ zenon_intro zenon_H15 | zenon_intro zenon_H98 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ]. % 0.92/1.11 exact (zenon_H93 zenon_H9a). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ]. % 0.92/1.11 generalize (zenon_H94 (a527)). zenon_intro zenon_H9d. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H9d); [ zenon_intro zenon_H15 | zenon_intro zenon_H9e ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H9f ]. % 0.92/1.11 exact (zenon_H9c zenon_Ha0). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H9a ]. % 0.92/1.11 exact (zenon_H95 zenon_Ha1). % 0.92/1.11 exact (zenon_H93 zenon_H9a). % 0.92/1.11 exact (zenon_H9b zenon_H96). % 0.92/1.11 (* end of lemma zenon_L38_ *) % 0.92/1.11 assert (zenon_L39_ : (~(hskp17)) -> (hskp17) -> False). % 0.92/1.11 do 0 intro. intros zenon_Ha2 zenon_Ha3. % 0.92/1.11 exact (zenon_Ha2 zenon_Ha3). % 0.92/1.11 (* end of lemma zenon_L39_ *) % 0.92/1.11 assert (zenon_L40_ : ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W))))) -> (~(c3_1 (a527))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Ha4 zenon_H65 zenon_H64 zenon_H63 zenon_H96 zenon_H95 zenon_H94 zenon_H93 zenon_H16 zenon_Ha2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha5 ]. % 0.92/1.11 apply (zenon_L27_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha3 ]. % 0.92/1.11 apply (zenon_L38_); trivial. % 0.92/1.11 exact (zenon_Ha2 zenon_Ha3). % 0.92/1.11 (* end of lemma zenon_L40_ *) % 0.92/1.11 assert (zenon_L41_ : (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21)))))) -> (c1_1 (a512)) -> (c2_1 (a512)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H38 zenon_H16 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.92/1.11 generalize (zenon_H38 (a512)). zenon_intro zenon_Ha9. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_Ha9); [ zenon_intro zenon_H15 | zenon_intro zenon_Haa ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Hac | zenon_intro zenon_Hab ]. % 0.92/1.11 generalize (zenon_Ha6 (a512)). zenon_intro zenon_Had. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_Had); [ zenon_intro zenon_H15 | zenon_intro zenon_Hae ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Haf | zenon_intro zenon_Hab ]. % 0.92/1.11 exact (zenon_Hac zenon_Haf). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb0 ]. % 0.92/1.11 exact (zenon_Hb1 zenon_Ha7). % 0.92/1.11 exact (zenon_Hb0 zenon_Ha8). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb0 ]. % 0.92/1.11 exact (zenon_Hb1 zenon_Ha7). % 0.92/1.11 exact (zenon_Hb0 zenon_Ha8). % 0.92/1.11 (* end of lemma zenon_L41_ *) % 0.92/1.11 assert (zenon_L42_ : (~(hskp1)) -> (hskp1) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb2 zenon_Hb3. % 0.92/1.11 exact (zenon_Hb2 zenon_Hb3). % 0.92/1.11 (* end of lemma zenon_L42_ *) % 0.92/1.11 assert (zenon_L43_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (c2_1 (a512)) -> (c1_1 (a512)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (~(hskp31)) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb4 zenon_Ha8 zenon_Ha7 zenon_H16 zenon_H38 zenon_H49 zenon_Hb2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ]. % 0.92/1.11 apply (zenon_L41_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb3 ]. % 0.92/1.11 exact (zenon_H49 zenon_H4a). % 0.92/1.11 exact (zenon_Hb2 zenon_Hb3). % 0.92/1.11 (* end of lemma zenon_L43_ *) % 0.92/1.11 assert (zenon_L44_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb6 zenon_H5b zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H95 zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 0.92/1.11 apply (zenon_L40_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 0.92/1.11 apply (zenon_L43_); trivial. % 0.92/1.11 exact (zenon_H2b zenon_H2c). % 0.92/1.11 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 0.92/1.11 apply (zenon_L40_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 0.92/1.11 apply (zenon_L22_); trivial. % 0.92/1.11 exact (zenon_H2b zenon_H2c). % 0.92/1.11 (* end of lemma zenon_L44_ *) % 0.92/1.11 assert (zenon_L45_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hbc zenon_Hbd zenon_H5b zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H95 zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H1 zenon_H90. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L37_); trivial. % 0.92/1.11 apply (zenon_L44_); trivial. % 0.92/1.11 (* end of lemma zenon_L45_ *) % 0.92/1.11 assert (zenon_L46_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H5b zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H95 zenon_H93 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H11 zenon_H7c zenon_H7f zenon_H83. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.92/1.11 apply (zenon_L34_); trivial. % 0.92/1.11 apply (zenon_L45_); trivial. % 0.92/1.11 (* end of lemma zenon_L46_ *) % 0.92/1.11 assert (zenon_L47_ : (~(hskp9)) -> (hskp9) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc1 zenon_Hc2. % 0.92/1.11 exact (zenon_Hc1 zenon_Hc2). % 0.92/1.11 (* end of lemma zenon_L47_ *) % 0.92/1.11 assert (zenon_L48_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc3 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_H16 zenon_Hc1. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hc8 ]. % 0.92/1.11 generalize (zenon_Hc4 (a532)). zenon_intro zenon_Hca. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_Hca); [ zenon_intro zenon_H15 | zenon_intro zenon_Hcb ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcc ]. % 0.92/1.11 generalize (zenon_Hc9 (a532)). zenon_intro zenon_Hce. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_Hce); [ zenon_intro zenon_H15 | zenon_intro zenon_Hcf ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 0.92/1.11 exact (zenon_Hc7 zenon_Hd1). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ]. % 0.92/1.11 exact (zenon_Hc6 zenon_Hd3). % 0.92/1.11 exact (zenon_Hd2 zenon_Hcd). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd4 ]. % 0.92/1.11 exact (zenon_Hc7 zenon_Hd1). % 0.92/1.11 exact (zenon_Hd4 zenon_Hc5). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc2 ]. % 0.92/1.11 generalize (zenon_Hd5 (a532)). zenon_intro zenon_Hd6. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_Hd6); [ zenon_intro zenon_H15 | zenon_intro zenon_Hd7 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd8 ]. % 0.92/1.11 exact (zenon_Hc7 zenon_Hd1). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd4 ]. % 0.92/1.11 exact (zenon_Hc6 zenon_Hd3). % 0.92/1.11 exact (zenon_Hd4 zenon_Hc5). % 0.92/1.11 exact (zenon_Hc1 zenon_Hc2). % 0.92/1.11 (* end of lemma zenon_L48_ *) % 0.92/1.11 assert (zenon_L49_ : (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (c1_1 (a514)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hd9 zenon_H16 zenon_H63 zenon_Hda zenon_H64. % 0.92/1.11 generalize (zenon_Hd9 (a514)). zenon_intro zenon_Hdb. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_Hdb); [ zenon_intro zenon_H15 | zenon_intro zenon_Hdc ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H69 | zenon_intro zenon_Hdd ]. % 0.92/1.11 exact (zenon_H63 zenon_H69). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hde | zenon_intro zenon_H6b ]. % 0.92/1.11 generalize (zenon_Hda (a514)). zenon_intro zenon_Hdf. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_Hdf); [ zenon_intro zenon_H15 | zenon_intro zenon_He0 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_He2 | zenon_intro zenon_He1 ]. % 0.92/1.11 exact (zenon_Hde zenon_He2). % 0.92/1.11 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H69 | zenon_intro zenon_H6b ]. % 0.92/1.11 exact (zenon_H63 zenon_H69). % 0.92/1.11 exact (zenon_H6b zenon_H64). % 0.92/1.11 exact (zenon_H6b zenon_H64). % 0.92/1.11 (* end of lemma zenon_L49_ *) % 0.92/1.11 assert (zenon_L50_ : (~(hskp5)) -> (hskp5) -> False). % 0.92/1.11 do 0 intro. intros zenon_He3 zenon_He4. % 0.92/1.11 exact (zenon_He3 zenon_He4). % 0.92/1.11 (* end of lemma zenon_L50_ *) % 0.92/1.11 assert (zenon_L51_ : ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (c1_1 (a514)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a514))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp4)) -> False). % 0.92/1.11 do 0 intro. intros zenon_He5 zenon_H64 zenon_Hda zenon_H63 zenon_H16 zenon_He3 zenon_H4b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd9 | zenon_intro zenon_He6 ]. % 0.92/1.11 apply (zenon_L49_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He4 | zenon_intro zenon_H4c ]. % 0.92/1.11 exact (zenon_He3 zenon_He4). % 0.92/1.11 exact (zenon_H4b zenon_H4c). % 0.92/1.11 (* end of lemma zenon_L51_ *) % 0.92/1.11 assert (zenon_L52_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 0.92/1.11 do 0 intro. intros zenon_He7 zenon_He8 zenon_Hc1 zenon_Hc3 zenon_H4b zenon_He3 zenon_He5 zenon_H63 zenon_H64 zenon_H65. % 0.92/1.11 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 0.92/1.11 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L48_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.92/1.11 apply (zenon_L51_); trivial. % 0.92/1.11 apply (zenon_L27_); trivial. % 0.92/1.11 (* end of lemma zenon_L52_ *) % 0.92/1.11 assert (zenon_L53_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H92 zenon_H16 zenon_H3b zenon_H39 zenon_H3a. % 0.92/1.11 generalize (zenon_H92 (a520)). zenon_intro zenon_Hec. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_Hec); [ zenon_intro zenon_H15 | zenon_intro zenon_Hed ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_H46 | zenon_intro zenon_Hee ]. % 0.92/1.11 exact (zenon_H3b zenon_H46). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ]. % 0.92/1.11 exact (zenon_H43 zenon_H39). % 0.92/1.11 exact (zenon_H44 zenon_H3a). % 0.92/1.11 (* end of lemma zenon_L53_ *) % 0.92/1.11 assert (zenon_L54_ : ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Ha4 zenon_H65 zenon_H64 zenon_H63 zenon_H3a zenon_H39 zenon_H3b zenon_H16 zenon_Ha2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha5 ]. % 0.92/1.11 apply (zenon_L27_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha3 ]. % 0.92/1.11 apply (zenon_L53_); trivial. % 0.92/1.11 exact (zenon_Ha2 zenon_Ha3). % 0.92/1.11 (* end of lemma zenon_L54_ *) % 0.92/1.11 assert (zenon_L55_ : (~(hskp29)) -> (hskp29) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hef zenon_Hf0. % 0.92/1.11 exact (zenon_Hef zenon_Hf0). % 0.92/1.11 (* end of lemma zenon_L55_ *) % 0.92/1.11 assert (zenon_L56_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp29)) -> (~(hskp8)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf1 zenon_Hc1 zenon_H16 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc3 zenon_Hef zenon_H47. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hf2 ]. % 0.92/1.11 apply (zenon_L48_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H48 ]. % 0.92/1.11 exact (zenon_Hef zenon_Hf0). % 0.92/1.11 exact (zenon_H47 zenon_H48). % 0.92/1.11 (* end of lemma zenon_L56_ *) % 0.92/1.11 assert (zenon_L57_ : (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c1_1 (a504)) -> (c3_1 (a504)) -> (c0_1 (a504)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hd9 zenon_H16 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Hf6. % 0.92/1.11 generalize (zenon_Hd9 (a504)). zenon_intro zenon_Hf7. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_Hf7); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf8 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hf9 ]. % 0.92/1.11 generalize (zenon_Hf3 (a504)). zenon_intro zenon_Hfb. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_Hfb); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hfe | zenon_intro zenon_Hfd ]. % 0.92/1.11 exact (zenon_Hfe zenon_Hf4). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ]. % 0.92/1.11 exact (zenon_H100 zenon_Hfa). % 0.92/1.11 exact (zenon_Hff zenon_Hf5). % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H101 | zenon_intro zenon_Hfe ]. % 0.92/1.11 exact (zenon_H101 zenon_Hf6). % 0.92/1.11 exact (zenon_Hfe zenon_Hf4). % 0.92/1.11 (* end of lemma zenon_L57_ *) % 0.92/1.11 assert (zenon_L58_ : (~(hskp27)) -> (hskp27) -> False). % 0.92/1.11 do 0 intro. intros zenon_H102 zenon_H103. % 0.92/1.11 exact (zenon_H102 zenon_H103). % 0.92/1.11 (* end of lemma zenon_L58_ *) % 0.92/1.11 assert (zenon_L59_ : (~(hskp19)) -> (hskp19) -> False). % 0.92/1.11 do 0 intro. intros zenon_H104 zenon_H105. % 0.92/1.11 exact (zenon_H104 zenon_H105). % 0.92/1.11 (* end of lemma zenon_L59_ *) % 0.92/1.11 assert (zenon_L60_ : ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (~(hskp27)) -> (~(hskp19)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H106 zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_H16 zenon_Hd9 zenon_H102 zenon_H104. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H107 ]. % 0.92/1.11 apply (zenon_L57_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H103 | zenon_intro zenon_H105 ]. % 0.92/1.11 exact (zenon_H102 zenon_H103). % 0.92/1.11 exact (zenon_H104 zenon_H105). % 0.92/1.11 (* end of lemma zenon_L60_ *) % 0.92/1.11 assert (zenon_L61_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp19)) -> (~(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (~(hskp5)) -> (~(hskp4)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H108 zenon_He5 zenon_H104 zenon_H102 zenon_H106 zenon_He3 zenon_H4b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 0.92/1.11 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd9 | zenon_intro zenon_He6 ]. % 0.92/1.11 apply (zenon_L60_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He4 | zenon_intro zenon_H4c ]. % 0.92/1.11 exact (zenon_He3 zenon_He4). % 0.92/1.11 exact (zenon_H4b zenon_H4c). % 0.92/1.11 (* end of lemma zenon_L61_ *) % 0.92/1.11 assert (zenon_L62_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp27)) -> (~(hskp19)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H10b zenon_He5 zenon_H4b zenon_He3 zenon_H102 zenon_H104 zenon_H106 zenon_Hc3 zenon_Hc1 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_H16 zenon_H47 zenon_Hf1. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 0.92/1.11 apply (zenon_L56_); trivial. % 0.92/1.11 apply (zenon_L61_); trivial. % 0.92/1.11 (* end of lemma zenon_L62_ *) % 0.92/1.11 assert (zenon_L63_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a568))) -> (c0_1 (a568)) -> (c3_1 (a568)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H10c zenon_H16 zenon_H10d zenon_H10e zenon_H10f. % 0.92/1.11 generalize (zenon_H10c (a568)). zenon_intro zenon_H110. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H110); [ zenon_intro zenon_H15 | zenon_intro zenon_H111 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H113 | zenon_intro zenon_H112 ]. % 0.92/1.11 exact (zenon_H10d zenon_H113). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 0.92/1.11 exact (zenon_H115 zenon_H10e). % 0.92/1.11 exact (zenon_H114 zenon_H10f). % 0.92/1.11 (* end of lemma zenon_L63_ *) % 0.92/1.11 assert (zenon_L64_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(hskp9)) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (c3_1 (a568)) -> (c0_1 (a568)) -> (~(c1_1 (a568))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H116 zenon_Hc1 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc3 zenon_H10f zenon_H10e zenon_H10d zenon_H16 zenon_Hf. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H117 ]. % 0.92/1.11 apply (zenon_L48_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10c | zenon_intro zenon_H10 ]. % 0.92/1.11 apply (zenon_L63_); trivial. % 0.92/1.11 exact (zenon_Hf zenon_H10). % 0.92/1.11 (* end of lemma zenon_L64_ *) % 0.92/1.11 assert (zenon_L65_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H37 zenon_H16 zenon_H17 zenon_H3b zenon_H39. % 0.92/1.11 generalize (zenon_H37 (a520)). zenon_intro zenon_H3c. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H15 | zenon_intro zenon_H3d ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.92/1.11 generalize (zenon_H17 (a520)). zenon_intro zenon_H118. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H118); [ zenon_intro zenon_H15 | zenon_intro zenon_H119 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H46 | zenon_intro zenon_H11a ]. % 0.92/1.11 exact (zenon_H3b zenon_H46). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H43 | zenon_intro zenon_H45 ]. % 0.92/1.11 exact (zenon_H43 zenon_H39). % 0.92/1.11 exact (zenon_H45 zenon_H3f). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H46 | zenon_intro zenon_H43 ]. % 0.92/1.11 exact (zenon_H3b zenon_H46). % 0.92/1.11 exact (zenon_H43 zenon_H39). % 0.92/1.11 (* end of lemma zenon_L65_ *) % 0.92/1.11 assert (zenon_L66_ : (~(hskp7)) -> (hskp7) -> False). % 0.92/1.11 do 0 intro. intros zenon_H11b zenon_H11c. % 0.92/1.11 exact (zenon_H11b zenon_H11c). % 0.92/1.11 (* end of lemma zenon_L66_ *) % 0.92/1.11 assert (zenon_L67_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp7)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H11d zenon_H39 zenon_H3b zenon_H17 zenon_H16 zenon_He3 zenon_H11b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H37 | zenon_intro zenon_H11e ]. % 0.92/1.11 apply (zenon_L65_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_He4 | zenon_intro zenon_H11c ]. % 0.92/1.11 exact (zenon_He3 zenon_He4). % 0.92/1.11 exact (zenon_H11b zenon_H11c). % 0.92/1.11 (* end of lemma zenon_L67_ *) % 0.92/1.11 assert (zenon_L68_ : (~(hskp23)) -> (hskp23) -> False). % 0.92/1.11 do 0 intro. intros zenon_H11f zenon_H120. % 0.92/1.11 exact (zenon_H11f zenon_H120). % 0.92/1.11 (* end of lemma zenon_L68_ *) % 0.92/1.11 assert (zenon_L69_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp7)) -> (~(hskp5)) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp23)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H2d zenon_H121 zenon_H2b zenon_H2e zenon_H11b zenon_He3 zenon_H3b zenon_H39 zenon_H11d zenon_H11f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H37 | zenon_intro zenon_H122 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H17 | zenon_intro zenon_H31 ]. % 0.92/1.11 apply (zenon_L65_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H21 | zenon_intro zenon_H2c ]. % 0.92/1.11 apply (zenon_L13_); trivial. % 0.92/1.11 exact (zenon_H2b zenon_H2c). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H17 | zenon_intro zenon_H120 ]. % 0.92/1.11 apply (zenon_L67_); trivial. % 0.92/1.11 exact (zenon_H11f zenon_H120). % 0.92/1.11 (* end of lemma zenon_L69_ *) % 0.92/1.11 assert (zenon_L70_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H123 zenon_H33 zenon_H121 zenon_H11f zenon_H11b zenon_H11d zenon_H3b zenon_H39 zenon_H2b zenon_H2e zenon_H116 zenon_Hf1 zenon_H47 zenon_H16 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc1 zenon_Hc3 zenon_H106 zenon_H104 zenon_He3 zenon_H4b zenon_He5 zenon_H10b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H102 | zenon_intro zenon_H124 ]. % 0.92/1.11 apply (zenon_L62_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H16. zenon_intro zenon_H125. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H10e. zenon_intro zenon_H126. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10f. zenon_intro zenon_H10d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.92/1.11 apply (zenon_L64_); trivial. % 0.92/1.11 apply (zenon_L69_); trivial. % 0.92/1.11 (* end of lemma zenon_L70_ *) % 0.92/1.11 assert (zenon_L71_ : (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c2_1 (a541))) -> (c0_1 (a541)) -> (c1_1 (a541)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hd9 zenon_H16 zenon_H127 zenon_H128 zenon_H129. % 0.92/1.11 generalize (zenon_Hd9 (a541)). zenon_intro zenon_H12a. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H12a); [ zenon_intro zenon_H15 | zenon_intro zenon_H12b ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H12d | zenon_intro zenon_H12c ]. % 0.92/1.11 exact (zenon_H127 zenon_H12d). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12f | zenon_intro zenon_H12e ]. % 0.92/1.11 exact (zenon_H12f zenon_H128). % 0.92/1.11 exact (zenon_H12e zenon_H129). % 0.92/1.11 (* end of lemma zenon_L71_ *) % 0.92/1.11 assert (zenon_L72_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> (~(hskp4)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H130 zenon_He5 zenon_He3 zenon_H4b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 0.92/1.11 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd9 | zenon_intro zenon_He6 ]. % 0.92/1.11 apply (zenon_L71_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He4 | zenon_intro zenon_H4c ]. % 0.92/1.11 exact (zenon_He3 zenon_He4). % 0.92/1.11 exact (zenon_H4b zenon_H4c). % 0.92/1.11 (* end of lemma zenon_L72_ *) % 0.92/1.11 assert (zenon_L73_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hda zenon_H16 zenon_H133 zenon_H134 zenon_H135. % 0.92/1.11 generalize (zenon_Hda (a534)). zenon_intro zenon_H136. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H136); [ zenon_intro zenon_H15 | zenon_intro zenon_H137 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H139 | zenon_intro zenon_H138 ]. % 0.92/1.11 exact (zenon_H133 zenon_H139). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 0.92/1.11 exact (zenon_H134 zenon_H13b). % 0.92/1.11 exact (zenon_H13a zenon_H135). % 0.92/1.11 (* end of lemma zenon_L73_ *) % 0.92/1.11 assert (zenon_L74_ : (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c2_1 (a534))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (c1_1 (a534)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hd9 zenon_H16 zenon_H134 zenon_Hda zenon_H135. % 0.92/1.11 generalize (zenon_Hd9 (a534)). zenon_intro zenon_H13c. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H13c); [ zenon_intro zenon_H15 | zenon_intro zenon_H13d ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H13b | zenon_intro zenon_H13e ]. % 0.92/1.11 exact (zenon_H134 zenon_H13b). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H133 | zenon_intro zenon_H13a ]. % 0.92/1.11 apply (zenon_L73_); trivial. % 0.92/1.11 exact (zenon_H13a zenon_H135). % 0.92/1.11 (* end of lemma zenon_L74_ *) % 0.92/1.11 assert (zenon_L75_ : ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (c1_1 (a534)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a534))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp4)) -> False). % 0.92/1.11 do 0 intro. intros zenon_He5 zenon_H135 zenon_Hda zenon_H134 zenon_H16 zenon_He3 zenon_H4b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd9 | zenon_intro zenon_He6 ]. % 0.92/1.11 apply (zenon_L74_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He4 | zenon_intro zenon_H4c ]. % 0.92/1.11 exact (zenon_He3 zenon_He4). % 0.92/1.11 exact (zenon_H4b zenon_H4c). % 0.92/1.11 (* end of lemma zenon_L75_ *) % 0.92/1.11 assert (zenon_L76_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp9)) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H13f zenon_He8 zenon_Hc1 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc3 zenon_H4b zenon_He3 zenon_He5 zenon_H63 zenon_H64 zenon_H65. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 0.92/1.11 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L48_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.92/1.11 apply (zenon_L75_); trivial. % 0.92/1.11 apply (zenon_L27_); trivial. % 0.92/1.11 (* end of lemma zenon_L76_ *) % 0.92/1.11 assert (zenon_L77_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H5e zenon_H143 zenon_H144 zenon_He8 zenon_H123 zenon_H33 zenon_H121 zenon_H11b zenon_H11d zenon_H2b zenon_H2e zenon_H116 zenon_Hf1 zenon_H47 zenon_Hc1 zenon_Hc3 zenon_H106 zenon_He3 zenon_H4b zenon_He5 zenon_H10b zenon_H145 zenon_H63 zenon_H64 zenon_H65 zenon_Ha4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.92/1.11 apply (zenon_L54_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 0.92/1.11 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 0.92/1.11 apply (zenon_L70_); trivial. % 0.92/1.11 apply (zenon_L72_); trivial. % 0.92/1.11 apply (zenon_L76_); trivial. % 0.92/1.11 (* end of lemma zenon_L77_ *) % 0.92/1.11 assert (zenon_L78_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H61 zenon_H144 zenon_H123 zenon_H33 zenon_H121 zenon_H11b zenon_H11d zenon_H2e zenon_H116 zenon_Hf1 zenon_H47 zenon_H106 zenon_H10b zenon_H145 zenon_H7 zenon_H3 zenon_Hc0 zenon_Hbd zenon_H5b zenon_Ha4 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H11 zenon_H7c zenon_H7f zenon_H83 zenon_Hc3 zenon_Hc1 zenon_He5 zenon_H4b zenon_He3 zenon_He8 zenon_H143 zenon_H146. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 0.92/1.11 apply (zenon_L4_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.92/1.11 apply (zenon_L46_); trivial. % 0.92/1.11 apply (zenon_L52_); trivial. % 0.92/1.11 apply (zenon_L77_); trivial. % 0.92/1.11 (* end of lemma zenon_L78_ *) % 0.92/1.11 assert (zenon_L79_ : (forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33)))))) -> (ndr1_0) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc9 zenon_H16 zenon_H14a zenon_H14b zenon_H14c. % 0.92/1.11 generalize (zenon_Hc9 (a510)). zenon_intro zenon_H14d. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H14d); [ zenon_intro zenon_H15 | zenon_intro zenon_H14e ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H150 | zenon_intro zenon_H14f ]. % 0.92/1.11 exact (zenon_H14a zenon_H150). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H152 | zenon_intro zenon_H151 ]. % 0.92/1.11 exact (zenon_H14b zenon_H152). % 0.92/1.11 exact (zenon_H151 zenon_H14c). % 0.92/1.11 (* end of lemma zenon_L79_ *) % 0.92/1.11 assert (zenon_L80_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H37 zenon_H16 zenon_H153 zenon_H3b zenon_H3a zenon_H39. % 0.92/1.11 generalize (zenon_H37 (a520)). zenon_intro zenon_H3c. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H15 | zenon_intro zenon_H3d ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.92/1.11 generalize (zenon_H153 (a520)). zenon_intro zenon_H154. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H154); [ zenon_intro zenon_H15 | zenon_intro zenon_H155 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H46 | zenon_intro zenon_H42 ]. % 0.92/1.11 exact (zenon_H3b zenon_H46). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 0.92/1.11 exact (zenon_H45 zenon_H3f). % 0.92/1.11 exact (zenon_H44 zenon_H3a). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H46 | zenon_intro zenon_H43 ]. % 0.92/1.11 exact (zenon_H3b zenon_H46). % 0.92/1.11 exact (zenon_H43 zenon_H39). % 0.92/1.11 (* end of lemma zenon_L80_ *) % 0.92/1.11 assert (zenon_L81_ : (~(hskp24)) -> (hskp24) -> False). % 0.92/1.11 do 0 intro. intros zenon_H156 zenon_H157. % 0.92/1.11 exact (zenon_H156 zenon_H157). % 0.92/1.11 (* end of lemma zenon_L81_ *) % 0.92/1.11 assert (zenon_L82_ : ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70)))))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H158 zenon_H14c zenon_H14b zenon_H159 zenon_H3a zenon_H39 zenon_H3b zenon_H16 zenon_H156. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ]. % 0.92/1.11 generalize (zenon_H159 (a510)). zenon_intro zenon_H15c. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H15c); [ zenon_intro zenon_H15 | zenon_intro zenon_H15d ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 0.92/1.11 exact (zenon_H14b zenon_H152). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H15f | zenon_intro zenon_H151 ]. % 0.92/1.11 generalize (zenon_H15b (a510)). zenon_intro zenon_H160. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H160); [ zenon_intro zenon_H15 | zenon_intro zenon_H161 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H152 | zenon_intro zenon_H162 ]. % 0.92/1.11 exact (zenon_H14b zenon_H152). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H151 | zenon_intro zenon_H163 ]. % 0.92/1.11 exact (zenon_H151 zenon_H14c). % 0.92/1.11 exact (zenon_H163 zenon_H15f). % 0.92/1.11 exact (zenon_H151 zenon_H14c). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H92 | zenon_intro zenon_H157 ]. % 0.92/1.11 apply (zenon_L53_); trivial. % 0.92/1.11 exact (zenon_H156 zenon_H157). % 0.92/1.11 (* end of lemma zenon_L82_ *) % 0.92/1.11 assert (zenon_L83_ : (~(hskp22)) -> (hskp22) -> False). % 0.92/1.11 do 0 intro. intros zenon_H164 zenon_H165. % 0.92/1.11 exact (zenon_H164 zenon_H165). % 0.92/1.11 (* end of lemma zenon_L83_ *) % 0.92/1.11 assert (zenon_L84_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (~(hskp24)) -> (ndr1_0) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(hskp22)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H166 zenon_H153 zenon_H156 zenon_H16 zenon_H3b zenon_H39 zenon_H3a zenon_H14b zenon_H14c zenon_H158 zenon_H164. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H37 | zenon_intro zenon_H167 ]. % 0.92/1.11 apply (zenon_L80_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H159 | zenon_intro zenon_H165 ]. % 0.92/1.11 apply (zenon_L82_); trivial. % 0.92/1.11 exact (zenon_H164 zenon_H165). % 0.92/1.11 (* end of lemma zenon_L84_ *) % 0.92/1.11 assert (zenon_L85_ : (~(hskp21)) -> (hskp21) -> False). % 0.92/1.11 do 0 intro. intros zenon_H168 zenon_H169. % 0.92/1.11 exact (zenon_H168 zenon_H169). % 0.92/1.11 (* end of lemma zenon_L85_ *) % 0.92/1.11 assert (zenon_L86_ : (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70)))))) -> (ndr1_0) -> (~(c2_1 (a554))) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H159 zenon_H16 zenon_H16a zenon_H16b zenon_H16c. % 0.92/1.11 generalize (zenon_H159 (a554)). zenon_intro zenon_H16d. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H16d); [ zenon_intro zenon_H15 | zenon_intro zenon_H16e ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 0.92/1.11 exact (zenon_H16a zenon_H170). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ]. % 0.92/1.11 exact (zenon_H16b zenon_H172). % 0.92/1.11 exact (zenon_H171 zenon_H16c). % 0.92/1.11 (* end of lemma zenon_L86_ *) % 0.92/1.11 assert (zenon_L87_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (c0_1 (a554)) -> (~(c3_1 (a554))) -> (~(c2_1 (a554))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H166 zenon_H39 zenon_H3a zenon_H3b zenon_H153 zenon_H16c zenon_H16b zenon_H16a zenon_H16 zenon_H164. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H37 | zenon_intro zenon_H167 ]. % 0.92/1.11 apply (zenon_L80_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H159 | zenon_intro zenon_H165 ]. % 0.92/1.11 apply (zenon_L86_); trivial. % 0.92/1.11 exact (zenon_H164 zenon_H165). % 0.92/1.11 (* end of lemma zenon_L87_ *) % 0.92/1.11 assert (zenon_L88_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> (ndr1_0) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp22)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H173 zenon_H16 zenon_H14a zenon_H14b zenon_H14c zenon_H166 zenon_H164 zenon_H158 zenon_H39 zenon_H3a zenon_H3b zenon_H168 zenon_H174. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H176 ]. % 0.92/1.11 apply (zenon_L79_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H153 | zenon_intro zenon_H169 ]. % 0.92/1.11 apply (zenon_L84_); trivial. % 0.92/1.11 exact (zenon_H168 zenon_H169). % 0.92/1.11 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H176 ]. % 0.92/1.11 apply (zenon_L79_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H153 | zenon_intro zenon_H169 ]. % 0.92/1.11 apply (zenon_L87_); trivial. % 0.92/1.11 exact (zenon_H168 zenon_H169). % 0.92/1.11 (* end of lemma zenon_L88_ *) % 0.92/1.11 assert (zenon_L89_ : (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c0_1 (a540))) -> (c1_1 (a540)) -> (c3_1 (a540)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H179 zenon_H16 zenon_H17a zenon_H17b zenon_H17c. % 0.92/1.11 generalize (zenon_H179 (a540)). zenon_intro zenon_H17d. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H17d); [ zenon_intro zenon_H15 | zenon_intro zenon_H17e ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H180 | zenon_intro zenon_H17f ]. % 0.92/1.11 exact (zenon_H17a zenon_H180). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H182 | zenon_intro zenon_H181 ]. % 0.92/1.11 exact (zenon_H182 zenon_H17b). % 0.92/1.11 exact (zenon_H181 zenon_H17c). % 0.92/1.11 (* end of lemma zenon_L89_ *) % 0.92/1.11 assert (zenon_L90_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (~(hskp10)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H183 zenon_H184 zenon_H14c zenon_H14b zenon_H14a zenon_H11. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H179 | zenon_intro zenon_H187 ]. % 0.92/1.11 apply (zenon_L89_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H12 ]. % 0.92/1.11 apply (zenon_L79_); trivial. % 0.92/1.11 exact (zenon_H11 zenon_H12). % 0.92/1.11 (* end of lemma zenon_L90_ *) % 0.92/1.11 assert (zenon_L91_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a538))) -> (~(c3_1 (a538))) -> (c0_1 (a538)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H37 zenon_H16 zenon_H188 zenon_H189 zenon_H18a. % 0.92/1.11 generalize (zenon_H37 (a538)). zenon_intro zenon_H18b. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H18b); [ zenon_intro zenon_H15 | zenon_intro zenon_H18c ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H18e | zenon_intro zenon_H18d ]. % 0.92/1.11 exact (zenon_H188 zenon_H18e). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H190 | zenon_intro zenon_H18f ]. % 0.92/1.11 exact (zenon_H189 zenon_H190). % 0.92/1.11 exact (zenon_H18f zenon_H18a). % 0.92/1.11 (* end of lemma zenon_L91_ *) % 0.92/1.11 assert (zenon_L92_ : ((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (c0_1 (a538)) -> (~(c3_1 (a538))) -> (~(c1_1 (a538))) -> (~(hskp22)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H175 zenon_H166 zenon_H18a zenon_H189 zenon_H188 zenon_H164. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H37 | zenon_intro zenon_H167 ]. % 0.92/1.11 apply (zenon_L91_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H159 | zenon_intro zenon_H165 ]. % 0.92/1.11 apply (zenon_L86_); trivial. % 0.92/1.11 exact (zenon_H164 zenon_H165). % 0.92/1.11 (* end of lemma zenon_L92_ *) % 0.92/1.11 assert (zenon_L93_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a510))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H191 zenon_H192 zenon_H184 zenon_H11 zenon_H14a zenon_H166 zenon_H14b zenon_H14c zenon_H3b zenon_H39 zenon_H3a zenon_H158 zenon_H173. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H37 | zenon_intro zenon_H167 ]. % 0.92/1.11 apply (zenon_L91_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H159 | zenon_intro zenon_H165 ]. % 0.92/1.11 apply (zenon_L82_); trivial. % 0.92/1.11 exact (zenon_H164 zenon_H165). % 0.92/1.11 apply (zenon_L92_); trivial. % 0.92/1.11 apply (zenon_L90_); trivial. % 0.92/1.11 (* end of lemma zenon_L93_ *) % 0.92/1.11 assert (zenon_L94_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H5e zenon_H195 zenon_H173 zenon_H14a zenon_H14b zenon_H14c zenon_H166 zenon_H158 zenon_H174 zenon_H11 zenon_H184 zenon_H192. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.92/1.11 apply (zenon_L88_); trivial. % 0.92/1.11 apply (zenon_L90_); trivial. % 0.92/1.11 apply (zenon_L93_); trivial. % 0.92/1.11 (* end of lemma zenon_L94_ *) % 0.92/1.11 assert (zenon_L95_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H61 zenon_H195 zenon_H173 zenon_H14a zenon_H14b zenon_H14c zenon_H166 zenon_H158 zenon_H174 zenon_H184 zenon_H192 zenon_Hd zenon_Hb zenon_H13 zenon_H11 zenon_H2b zenon_H2e zenon_H33 zenon_H36. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.92/1.11 apply (zenon_L17_); trivial. % 0.92/1.11 apply (zenon_L94_); trivial. % 0.92/1.11 (* end of lemma zenon_L95_ *) % 0.92/1.11 assert (zenon_L96_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H196 zenon_H64 zenon_H63 zenon_Hd9 zenon_H14c zenon_H14b zenon_H14a zenon_H16 zenon_Hc1. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hda | zenon_intro zenon_H197 ]. % 0.92/1.11 apply (zenon_L49_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hc2 ]. % 0.92/1.11 apply (zenon_L79_); trivial. % 0.92/1.11 exact (zenon_Hc1 zenon_Hc2). % 0.92/1.11 (* end of lemma zenon_L96_ *) % 0.92/1.11 assert (zenon_L97_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp9)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp6)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H7e zenon_H198 zenon_Hc1 zenon_H14a zenon_H14b zenon_H14c zenon_H63 zenon_H64 zenon_H196 zenon_H3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 0.92/1.11 apply (zenon_L31_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 0.92/1.11 apply (zenon_L96_); trivial. % 0.92/1.11 exact (zenon_H3 zenon_H4). % 0.92/1.11 (* end of lemma zenon_L97_ *) % 0.92/1.11 assert (zenon_L98_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H83 zenon_H198 zenon_H3 zenon_H14a zenon_H14b zenon_H14c zenon_Hc1 zenon_H196 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_L30_); trivial. % 0.92/1.11 apply (zenon_L97_); trivial. % 0.92/1.11 (* end of lemma zenon_L98_ *) % 0.92/1.11 assert (zenon_L99_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c1_1 (a512)) -> (c2_1 (a512)) -> (c3_1 (a512)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hf3 zenon_H16 zenon_Ha7 zenon_Ha8 zenon_Hba. % 0.92/1.11 generalize (zenon_Hf3 (a512)). zenon_intro zenon_H19a. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H19a); [ zenon_intro zenon_H15 | zenon_intro zenon_H19b ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H19c ]. % 0.92/1.11 exact (zenon_Hb1 zenon_Ha7). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H19d ]. % 0.92/1.11 exact (zenon_Hb0 zenon_Ha8). % 0.92/1.11 exact (zenon_H19d zenon_Hba). % 0.92/1.11 (* end of lemma zenon_L99_ *) % 0.92/1.11 assert (zenon_L100_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp22)) -> (~(hskp17)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb6 zenon_H19e zenon_H164 zenon_Ha2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H19f ]. % 0.92/1.11 apply (zenon_L99_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H165 | zenon_intro zenon_Ha3 ]. % 0.92/1.11 exact (zenon_H164 zenon_H165). % 0.92/1.11 exact (zenon_Ha2 zenon_Ha3). % 0.92/1.11 (* end of lemma zenon_L100_ *) % 0.92/1.11 assert (zenon_L101_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(hskp22)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hbc zenon_Hbd zenon_H19e zenon_Ha2 zenon_H164 zenon_H1 zenon_H90. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L37_); trivial. % 0.92/1.11 apply (zenon_L100_); trivial. % 0.92/1.11 (* end of lemma zenon_L101_ *) % 0.92/1.11 assert (zenon_L102_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(hskp22)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H19e zenon_Ha2 zenon_H164 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H196 zenon_Hc1 zenon_H14c zenon_H14b zenon_H14a zenon_H3 zenon_H198 zenon_H83. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.92/1.11 apply (zenon_L98_); trivial. % 0.92/1.11 apply (zenon_L101_); trivial. % 0.92/1.11 (* end of lemma zenon_L102_ *) % 0.92/1.11 assert (zenon_L103_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(hskp17)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H192 zenon_H184 zenon_H11 zenon_H83 zenon_H198 zenon_H3 zenon_H14a zenon_H14b zenon_H14c zenon_Hc1 zenon_H196 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H90 zenon_H1 zenon_Ha2 zenon_H19e zenon_Hbd zenon_Hc0. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.92/1.11 apply (zenon_L102_); trivial. % 0.92/1.11 apply (zenon_L90_); trivial. % 0.92/1.11 (* end of lemma zenon_L103_ *) % 0.92/1.11 assert (zenon_L104_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1a0 zenon_H144 zenon_H123 zenon_H121 zenon_H11b zenon_H11d zenon_H116 zenon_Hf1 zenon_H47 zenon_H106 zenon_H10b zenon_H145 zenon_Ha4 zenon_H83 zenon_H198 zenon_H3 zenon_Hc1 zenon_H196 zenon_H70 zenon_H90 zenon_H19e zenon_Hbd zenon_Hc0 zenon_Hc3 zenon_He5 zenon_H4b zenon_He3 zenon_He8 zenon_H143 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H11 zenon_H13 zenon_Hd zenon_H192 zenon_H184 zenon_H174 zenon_H158 zenon_H166 zenon_H14c zenon_H14b zenon_H14a zenon_H173 zenon_H195 zenon_H61. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.92/1.11 apply (zenon_L95_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.92/1.11 apply (zenon_L103_); trivial. % 0.92/1.11 apply (zenon_L52_); trivial. % 0.92/1.11 apply (zenon_L77_); trivial. % 0.92/1.11 (* end of lemma zenon_L104_ *) % 0.92/1.11 assert (zenon_L105_ : (forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81)))))) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H15b zenon_H16 zenon_H1a4 zenon_H1a5 zenon_H1a6. % 0.92/1.11 generalize (zenon_H15b (a509)). zenon_intro zenon_H1a7. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1a7); [ zenon_intro zenon_H15 | zenon_intro zenon_H1a8 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1a9 ]. % 0.92/1.11 exact (zenon_H1a4 zenon_H1aa). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ab ]. % 0.92/1.11 exact (zenon_H1ac zenon_H1a5). % 0.92/1.11 exact (zenon_H1ab zenon_H1a6). % 0.92/1.11 (* end of lemma zenon_L105_ *) % 0.92/1.11 assert (zenon_L106_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a527))) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (c2_1 (a527)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H92 zenon_H16 zenon_H93 zenon_H84 zenon_H96. % 0.92/1.11 generalize (zenon_H92 (a527)). zenon_intro zenon_H97. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H97); [ zenon_intro zenon_H15 | zenon_intro zenon_H98 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ]. % 0.92/1.11 exact (zenon_H93 zenon_H9a). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ]. % 0.92/1.11 generalize (zenon_H84 (a527)). zenon_intro zenon_H1ad. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1ad); [ zenon_intro zenon_H15 | zenon_intro zenon_H1ae ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H1af ]. % 0.92/1.11 exact (zenon_H9c zenon_Ha0). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H9a | zenon_intro zenon_H9b ]. % 0.92/1.11 exact (zenon_H93 zenon_H9a). % 0.92/1.11 exact (zenon_H9b zenon_H96). % 0.92/1.11 exact (zenon_H9b zenon_H96). % 0.92/1.11 (* end of lemma zenon_L106_ *) % 0.92/1.11 assert (zenon_L107_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp24)) -> (ndr1_0) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(hskp13)) -> (~(hskp30)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H90 zenon_H156 zenon_H16 zenon_H93 zenon_H96 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H158 zenon_H1 zenon_H8e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H84 | zenon_intro zenon_H91 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ]. % 0.92/1.11 apply (zenon_L105_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H92 | zenon_intro zenon_H157 ]. % 0.92/1.11 apply (zenon_L106_); trivial. % 0.92/1.11 exact (zenon_H156 zenon_H157). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H2 | zenon_intro zenon_H8f ]. % 0.92/1.11 exact (zenon_H1 zenon_H2). % 0.92/1.11 exact (zenon_H8e zenon_H8f). % 0.92/1.11 (* end of lemma zenon_L107_ *) % 0.92/1.11 assert (zenon_L108_ : ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W))))) -> (~(c3_1 (a527))) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H158 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H96 zenon_H95 zenon_H94 zenon_H93 zenon_H16 zenon_H156. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ]. % 0.92/1.11 apply (zenon_L105_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H92 | zenon_intro zenon_H157 ]. % 0.92/1.11 apply (zenon_L38_); trivial. % 0.92/1.11 exact (zenon_H156 zenon_H157). % 0.92/1.11 (* end of lemma zenon_L108_ *) % 0.92/1.11 assert (zenon_L109_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp24)) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(hskp2)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H56 zenon_Hb7 zenon_H156 zenon_H93 zenon_H95 zenon_H96 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H158 zenon_H2b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 0.92/1.11 apply (zenon_L108_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 0.92/1.11 apply (zenon_L22_); trivial. % 0.92/1.11 exact (zenon_H2b zenon_H2c). % 0.92/1.11 (* end of lemma zenon_L109_ *) % 0.92/1.11 assert (zenon_L110_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb6 zenon_H5b zenon_H158 zenon_H156 zenon_H96 zenon_H95 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 0.92/1.11 apply (zenon_L108_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 0.92/1.11 apply (zenon_L43_); trivial. % 0.92/1.11 exact (zenon_H2b zenon_H2c). % 0.92/1.11 apply (zenon_L109_); trivial. % 0.92/1.11 (* end of lemma zenon_L110_ *) % 0.92/1.11 assert (zenon_L111_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c1_1 (a527))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hbd zenon_H5b zenon_H95 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H158 zenon_H156 zenon_H96 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H16 zenon_H1 zenon_H90. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L107_); trivial. % 0.92/1.11 apply (zenon_L110_); trivial. % 0.92/1.11 (* end of lemma zenon_L111_ *) % 0.92/1.11 assert (zenon_L112_ : (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c1_1 (a509)) -> (c3_1 (a509)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H62 zenon_H16 zenon_H1a4 zenon_H1b0 zenon_H1a6. % 0.92/1.11 generalize (zenon_H62 (a509)). zenon_intro zenon_H1b1. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1b1); [ zenon_intro zenon_H15 | zenon_intro zenon_H1b2 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b3 ]. % 0.92/1.11 exact (zenon_H1a4 zenon_H1aa). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1ab ]. % 0.92/1.11 exact (zenon_H1b4 zenon_H1b0). % 0.92/1.11 exact (zenon_H1ab zenon_H1a6). % 0.92/1.11 (* end of lemma zenon_L112_ *) % 0.92/1.11 assert (zenon_L113_ : (forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hc9 zenon_H16 zenon_H62 zenon_H1a4 zenon_H1a6 zenon_H1a5. % 0.92/1.11 generalize (zenon_Hc9 (a509)). zenon_intro zenon_H1b5. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1b5); [ zenon_intro zenon_H15 | zenon_intro zenon_H1b6 ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1b7 ]. % 0.92/1.11 apply (zenon_L112_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1ac ]. % 0.92/1.11 exact (zenon_H1a4 zenon_H1aa). % 0.92/1.11 exact (zenon_H1ac zenon_H1a5). % 0.92/1.11 (* end of lemma zenon_L113_ *) % 0.92/1.11 assert (zenon_L114_ : ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33)))))) -> (c2_1 (a527)) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (~(c3_1 (a527))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_Hc9 zenon_H96 zenon_H84 zenon_H93 zenon_H16 zenon_Ha2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha5 ]. % 0.92/1.11 apply (zenon_L113_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha3 ]. % 0.92/1.11 apply (zenon_L106_); trivial. % 0.92/1.11 exact (zenon_Ha2 zenon_Ha3). % 0.92/1.11 (* end of lemma zenon_L114_ *) % 0.92/1.11 assert (zenon_L115_ : (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> (c1_1 (a554)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H17 zenon_H16 zenon_H16b zenon_H16c zenon_H1b8. % 0.92/1.11 generalize (zenon_H17 (a554)). zenon_intro zenon_H1b9. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1b9); [ zenon_intro zenon_H15 | zenon_intro zenon_H1ba ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H172 | zenon_intro zenon_H1bb ]. % 0.92/1.11 exact (zenon_H16b zenon_H172). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H171 | zenon_intro zenon_H1bc ]. % 0.92/1.11 exact (zenon_H171 zenon_H16c). % 0.92/1.11 exact (zenon_H1bc zenon_H1b8). % 0.92/1.11 (* end of lemma zenon_L115_ *) % 0.92/1.11 assert (zenon_L116_ : (forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> (~(c2_1 (a554))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1bd zenon_H16 zenon_H17 zenon_H16b zenon_H16c zenon_H16a. % 0.92/1.11 generalize (zenon_H1bd (a554)). zenon_intro zenon_H1be. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1be); [ zenon_intro zenon_H15 | zenon_intro zenon_H1bf ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1c0 ]. % 0.92/1.11 apply (zenon_L115_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H170 | zenon_intro zenon_H172 ]. % 0.92/1.11 exact (zenon_H16a zenon_H170). % 0.92/1.11 exact (zenon_H16b zenon_H172). % 0.92/1.11 (* end of lemma zenon_L116_ *) % 0.92/1.11 assert (zenon_L117_ : (~(hskp18)) -> (hskp18) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1c1 zenon_H1c2. % 0.92/1.11 exact (zenon_H1c1 zenon_H1c2). % 0.92/1.11 (* end of lemma zenon_L117_ *) % 0.92/1.11 assert (zenon_L118_ : ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(hskp9)) -> (ndr1_0) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> (~(c2_1 (a554))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a527)) -> (forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42)))))) -> (~(c3_1 (a527))) -> (~(hskp17)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp18)) -> (~(hskp19)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1c3 zenon_Hc1 zenon_H16 zenon_H16b zenon_H16c zenon_H16a zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H96 zenon_H84 zenon_H93 zenon_Ha2 zenon_H1c4 zenon_H1c1 zenon_H104. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1c5 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c6 ]. % 0.92/1.11 apply (zenon_L114_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H17 | zenon_intro zenon_Hc2 ]. % 0.92/1.11 apply (zenon_L116_); trivial. % 0.92/1.11 exact (zenon_Hc1 zenon_Hc2). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H105 ]. % 0.92/1.11 exact (zenon_H1c1 zenon_H1c2). % 0.92/1.11 exact (zenon_H104 zenon_H105). % 0.92/1.11 (* end of lemma zenon_L118_ *) % 0.92/1.11 assert (zenon_L119_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp19)) -> (~(hskp18)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp17)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(c2_1 (a554))) -> (c0_1 (a554)) -> (~(c3_1 (a554))) -> (ndr1_0) -> (~(hskp9)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(hskp13)) -> (~(hskp30)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H90 zenon_H104 zenon_H1c1 zenon_H1c4 zenon_Ha2 zenon_H93 zenon_H96 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H16a zenon_H16c zenon_H16b zenon_H16 zenon_Hc1 zenon_H1c3 zenon_H1 zenon_H8e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H84 | zenon_intro zenon_H91 ]. % 0.92/1.11 apply (zenon_L118_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H2 | zenon_intro zenon_H8f ]. % 0.92/1.11 exact (zenon_H1 zenon_H2). % 0.92/1.11 exact (zenon_H8e zenon_H8f). % 0.92/1.11 (* end of lemma zenon_L119_ *) % 0.92/1.11 assert (zenon_L120_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(hskp19)) -> (~(hskp18)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> (~(c2_1 (a554))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp28)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp28))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb6 zenon_H5b zenon_H57 zenon_H47 zenon_Hb zenon_H1c3 zenon_H104 zenon_H1c1 zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H93 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H16b zenon_H16c zenon_H16a zenon_Hc1 zenon_H1c4 zenon_Hb4 zenon_Hb2 zenon_Hf zenon_H1c7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H84 | zenon_intro zenon_H1c8 ]. % 0.92/1.11 apply (zenon_L118_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H38 | zenon_intro zenon_H10 ]. % 0.92/1.11 apply (zenon_L43_); trivial. % 0.92/1.11 exact (zenon_Hf zenon_H10). % 0.92/1.11 apply (zenon_L23_); trivial. % 0.92/1.11 (* end of lemma zenon_L120_ *) % 0.92/1.11 assert (zenon_L121_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp18)) -> (~(hskp19)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp28))) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(c1_1 (a527))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H173 zenon_H33 zenon_H2e zenon_H1a zenon_H19 zenon_H18 zenon_H1c4 zenon_Hc1 zenon_Ha2 zenon_Ha4 zenon_H1c1 zenon_H104 zenon_H1c3 zenon_H1c7 zenon_Hb zenon_H47 zenon_H57 zenon_H90 zenon_H1 zenon_H16 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H93 zenon_H96 zenon_H158 zenon_Hb7 zenon_H2b zenon_Hb2 zenon_Hb4 zenon_H95 zenon_H5b zenon_Hbd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 0.92/1.11 apply (zenon_L111_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.92/1.11 apply (zenon_L119_); trivial. % 0.92/1.11 apply (zenon_L120_); trivial. % 0.92/1.11 apply (zenon_L15_); trivial. % 0.92/1.11 (* end of lemma zenon_L121_ *) % 0.92/1.11 assert (zenon_L122_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp12)) -> (~(hskp8)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H13f zenon_H1c9 zenon_H4b zenon_He3 zenon_He5 zenon_Hb zenon_H47. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hda | zenon_intro zenon_H5a ]. % 0.92/1.11 apply (zenon_L75_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_Hc | zenon_intro zenon_H48 ]. % 0.92/1.11 exact (zenon_Hb zenon_Hc). % 0.92/1.11 exact (zenon_H47 zenon_H48). % 0.92/1.11 (* end of lemma zenon_L122_ *) % 0.92/1.11 assert (zenon_L123_ : (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21)))))) -> (ndr1_0) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Ha6 zenon_H16 zenon_H1ca zenon_H1cb zenon_H1cc. % 0.92/1.11 generalize (zenon_Ha6 (a533)). zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H1cd); [ zenon_intro zenon_H15 | zenon_intro zenon_H1ce ]. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1cf ]. % 0.92/1.11 exact (zenon_H1ca zenon_H1d0). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1d1 ]. % 0.92/1.11 exact (zenon_H1d2 zenon_H1cb). % 0.92/1.11 exact (zenon_H1d1 zenon_H1cc). % 0.92/1.11 (* end of lemma zenon_L123_ *) % 0.92/1.11 assert (zenon_L124_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hb4 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H16 zenon_H49 zenon_Hb2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ]. % 0.92/1.11 apply (zenon_L123_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb3 ]. % 0.92/1.11 exact (zenon_H49 zenon_H4a). % 0.92/1.11 exact (zenon_Hb2 zenon_Hb3). % 0.92/1.11 (* end of lemma zenon_L124_ *) % 0.92/1.11 assert (zenon_L125_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1d3 zenon_H5b zenon_H57 zenon_H47 zenon_Hb zenon_Hb2 zenon_Hb4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.92/1.11 apply (zenon_L124_); trivial. % 0.92/1.11 apply (zenon_L23_); trivial. % 0.92/1.11 (* end of lemma zenon_L125_ *) % 0.92/1.11 assert (zenon_L126_ : (~(hskp3)) -> (hskp3) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1d6 zenon_H1d7. % 0.92/1.11 exact (zenon_H1d6 zenon_H1d7). % 0.92/1.11 (* end of lemma zenon_L126_ *) % 0.92/1.11 assert (zenon_L127_ : ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (~(hskp13)) -> (~(hskp3)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1d8 zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_H16 zenon_Hd9 zenon_H1 zenon_H1d6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1d9 ]. % 0.92/1.11 apply (zenon_L57_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H2 | zenon_intro zenon_H1d7 ]. % 0.92/1.11 exact (zenon_H1 zenon_H2). % 0.92/1.11 exact (zenon_H1d6 zenon_H1d7). % 0.92/1.11 (* end of lemma zenon_L127_ *) % 0.92/1.11 assert (zenon_L128_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp2)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H108 zenon_H1da zenon_H1d6 zenon_H1 zenon_H1d8 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H2b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1db ]. % 0.92/1.11 apply (zenon_L127_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H15b | zenon_intro zenon_H2c ]. % 0.92/1.11 apply (zenon_L105_); trivial. % 0.92/1.12 exact (zenon_H2b zenon_H2c). % 0.92/1.12 (* end of lemma zenon_L128_ *) % 0.92/1.12 assert (zenon_L129_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> False). % 0.92/1.12 do 0 intro. intros zenon_He7 zenon_H10b zenon_H1da zenon_H2b zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H1 zenon_H1d6 zenon_H1d8 zenon_Hc3 zenon_Hc1 zenon_H47 zenon_Hf1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 0.92/1.12 apply (zenon_L56_); trivial. % 0.92/1.12 apply (zenon_L128_); trivial. % 0.92/1.12 (* end of lemma zenon_L129_ *) % 0.92/1.12 assert (zenon_L130_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp17)) -> (ndr1_0) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> (forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33)))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp13)) -> (~(hskp30)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H90 zenon_Ha2 zenon_H16 zenon_H93 zenon_H96 zenon_Hc9 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H1 zenon_H8e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H84 | zenon_intro zenon_H91 ]. % 0.92/1.12 apply (zenon_L114_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H2 | zenon_intro zenon_H8f ]. % 0.92/1.12 exact (zenon_H1 zenon_H2). % 0.92/1.12 exact (zenon_H8e zenon_H8f). % 0.92/1.12 (* end of lemma zenon_L130_ *) % 0.92/1.12 assert (zenon_L131_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (~(hskp30)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (ndr1_0) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp9)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H196 zenon_H64 zenon_H63 zenon_Hd9 zenon_H8e zenon_H1 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H96 zenon_H93 zenon_H16 zenon_Ha2 zenon_H90 zenon_Hc1. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hda | zenon_intro zenon_H197 ]. % 0.92/1.12 apply (zenon_L49_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hc2 ]. % 0.92/1.12 apply (zenon_L130_); trivial. % 0.92/1.12 exact (zenon_Hc1 zenon_Hc2). % 0.92/1.12 (* end of lemma zenon_L131_ *) % 0.92/1.12 assert (zenon_L132_ : ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c2_1 (a554))) -> (c0_1 (a554)) -> (~(c3_1 (a554))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp19)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1c3 zenon_H16a zenon_H16c zenon_H16b zenon_H17 zenon_H16 zenon_H1c1 zenon_H104. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1c5 ]. % 0.92/1.12 apply (zenon_L116_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H105 ]. % 0.92/1.12 exact (zenon_H1c1 zenon_H1c2). % 0.92/1.12 exact (zenon_H104 zenon_H105). % 0.92/1.12 (* end of lemma zenon_L132_ *) % 0.92/1.12 assert (zenon_L133_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a559))) -> (~(c2_1 (a559))) -> (~(c0_1 (a559))) -> (~(hskp9)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp17)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp13)) -> (~(hskp30)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c2_1 (a554))) -> (c0_1 (a554)) -> (~(c3_1 (a554))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp19)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1dc zenon_H75 zenon_H74 zenon_H73 zenon_Hc1 zenon_H90 zenon_Ha2 zenon_H93 zenon_H96 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H1 zenon_H8e zenon_H63 zenon_H64 zenon_H196 zenon_H1c3 zenon_H16a zenon_H16c zenon_H16b zenon_H16 zenon_H1c1 zenon_H104. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 0.92/1.12 apply (zenon_L31_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 0.92/1.12 apply (zenon_L131_); trivial. % 0.92/1.12 apply (zenon_L132_); trivial. % 0.92/1.12 (* end of lemma zenon_L133_ *) % 0.92/1.12 assert (zenon_L134_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1de zenon_H16 zenon_H9c zenon_H95 zenon_H96. % 0.92/1.12 generalize (zenon_H1de (a527)). zenon_intro zenon_H1df. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H1df); [ zenon_intro zenon_H15 | zenon_intro zenon_H1e0 ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H1e1 ]. % 0.92/1.12 exact (zenon_H9c zenon_Ha0). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H9b ]. % 0.92/1.12 exact (zenon_H95 zenon_Ha1). % 0.92/1.12 exact (zenon_H9b zenon_H96). % 0.92/1.12 (* end of lemma zenon_L134_ *) % 0.92/1.12 assert (zenon_L135_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a527))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H92 zenon_H16 zenon_H93 zenon_H1de zenon_H95 zenon_H96. % 0.92/1.12 generalize (zenon_H92 (a527)). zenon_intro zenon_H97. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H97); [ zenon_intro zenon_H15 | zenon_intro zenon_H98 ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ]. % 0.92/1.12 exact (zenon_H93 zenon_H9a). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ]. % 0.92/1.12 apply (zenon_L134_); trivial. % 0.92/1.12 exact (zenon_H9b zenon_H96). % 0.92/1.12 (* end of lemma zenon_L135_ *) % 0.92/1.12 assert (zenon_L136_ : ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c3_1 (a527))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.92/1.12 do 0 intro. intros zenon_Ha4 zenon_H65 zenon_H64 zenon_H63 zenon_H96 zenon_H95 zenon_H1de zenon_H93 zenon_H16 zenon_Ha2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha5 ]. % 0.92/1.12 apply (zenon_L27_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha3 ]. % 0.92/1.12 apply (zenon_L135_); trivial. % 0.92/1.12 exact (zenon_Ha2 zenon_Ha3). % 0.92/1.12 (* end of lemma zenon_L136_ *) % 0.92/1.12 assert (zenon_L137_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp17)) -> (ndr1_0) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp28)) -> (~(hskp6)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1e2 zenon_Ha2 zenon_H16 zenon_H93 zenon_H95 zenon_H96 zenon_H63 zenon_H64 zenon_H65 zenon_Ha4 zenon_Hf zenon_H3. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1de | zenon_intro zenon_H1e3 ]. % 0.92/1.12 apply (zenon_L136_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H10 | zenon_intro zenon_H4 ]. % 0.92/1.12 exact (zenon_Hf zenon_H10). % 0.92/1.12 exact (zenon_H3 zenon_H4). % 0.92/1.12 (* end of lemma zenon_L137_ *) % 0.92/1.12 assert (zenon_L138_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1e4 zenon_H16 zenon_Hd9 zenon_H134 zenon_H135 zenon_H142. % 0.92/1.12 generalize (zenon_H1e4 (a534)). zenon_intro zenon_H1e5. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H15 | zenon_intro zenon_H1e6 ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H139 | zenon_intro zenon_H1e7 ]. % 0.92/1.12 generalize (zenon_Hd9 (a534)). zenon_intro zenon_H13c. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H13c); [ zenon_intro zenon_H15 | zenon_intro zenon_H13d ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H13b | zenon_intro zenon_H13e ]. % 0.92/1.12 exact (zenon_H134 zenon_H13b). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H133 | zenon_intro zenon_H13a ]. % 0.92/1.12 exact (zenon_H133 zenon_H139). % 0.92/1.12 exact (zenon_H13a zenon_H135). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H13a ]. % 0.92/1.12 exact (zenon_H142 zenon_H1e8). % 0.92/1.12 exact (zenon_H13a zenon_H135). % 0.92/1.12 (* end of lemma zenon_L138_ *) % 0.92/1.12 assert (zenon_L139_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (c0_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a500)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H10c zenon_H16 zenon_H38 zenon_H22 zenon_H23 zenon_H24. % 0.92/1.12 generalize (zenon_H10c (a500)). zenon_intro zenon_H1e9. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H1e9); [ zenon_intro zenon_H15 | zenon_intro zenon_H1ea ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1eb ]. % 0.92/1.12 generalize (zenon_H38 (a500)). zenon_intro zenon_H1ed. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H1ed); [ zenon_intro zenon_H15 | zenon_intro zenon_H1ee ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H28 | zenon_intro zenon_H1ef ]. % 0.92/1.12 exact (zenon_H28 zenon_H22). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H2a ]. % 0.92/1.12 exact (zenon_H1f0 zenon_H1ec). % 0.92/1.12 exact (zenon_H2a zenon_H23). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 0.92/1.12 exact (zenon_H28 zenon_H22). % 0.92/1.12 exact (zenon_H29 zenon_H24). % 0.92/1.12 (* end of lemma zenon_L139_ *) % 0.92/1.12 assert (zenon_L140_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (c0_1 (a500)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1f1 zenon_H142 zenon_H135 zenon_H134 zenon_Hd9 zenon_H24 zenon_H23 zenon_H22 zenon_H38 zenon_H16 zenon_H47. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 0.92/1.12 apply (zenon_L138_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 0.92/1.12 apply (zenon_L139_); trivial. % 0.92/1.12 exact (zenon_H47 zenon_H48). % 0.92/1.12 (* end of lemma zenon_L140_ *) % 0.92/1.12 assert (zenon_L141_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (ndr1_0) -> (~(c0_1 (a534))) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H72 zenon_H16 zenon_H133 zenon_H134 zenon_H142. % 0.92/1.12 generalize (zenon_H72 (a534)). zenon_intro zenon_H1f3. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H139 | zenon_intro zenon_H1f5 ]. % 0.92/1.12 exact (zenon_H133 zenon_H139). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H13b | zenon_intro zenon_H1e8 ]. % 0.92/1.12 exact (zenon_H134 zenon_H13b). % 0.92/1.12 exact (zenon_H142 zenon_H1e8). % 0.92/1.12 (* end of lemma zenon_L141_ *) % 0.92/1.12 assert (zenon_L142_ : (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c3_1 (a534))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H17 zenon_H16 zenon_H142 zenon_H72 zenon_H134 zenon_H135. % 0.92/1.12 generalize (zenon_H17 (a534)). zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H1f6); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f7 ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H13e ]. % 0.92/1.12 exact (zenon_H142 zenon_H1e8). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H133 | zenon_intro zenon_H13a ]. % 0.92/1.12 apply (zenon_L141_); trivial. % 0.92/1.12 exact (zenon_H13a zenon_H135). % 0.92/1.12 (* end of lemma zenon_L142_ *) % 0.92/1.12 assert (zenon_L143_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (~(hskp8)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (c0_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a500)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp6)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H198 zenon_H17 zenon_H47 zenon_H16 zenon_H38 zenon_H22 zenon_H23 zenon_H24 zenon_H134 zenon_H135 zenon_H142 zenon_H1f1 zenon_H3. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 0.92/1.12 apply (zenon_L142_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 0.92/1.12 apply (zenon_L140_); trivial. % 0.92/1.12 exact (zenon_H3 zenon_H4). % 0.92/1.12 (* end of lemma zenon_L143_ *) % 0.92/1.12 assert (zenon_L144_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a559))) -> (~(c2_1 (a559))) -> (~(c0_1 (a559))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (c0_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a500)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp6)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1dc zenon_H75 zenon_H74 zenon_H73 zenon_H198 zenon_H47 zenon_H16 zenon_H38 zenon_H22 zenon_H23 zenon_H24 zenon_H134 zenon_H135 zenon_H142 zenon_H1f1 zenon_H3. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 0.92/1.12 apply (zenon_L31_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 0.92/1.12 apply (zenon_L140_); trivial. % 0.92/1.12 apply (zenon_L143_); trivial. % 0.92/1.12 (* end of lemma zenon_L144_ *) % 0.92/1.12 assert (zenon_L145_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp17)) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a559))) -> (~(c2_1 (a559))) -> (~(c3_1 (a559))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp5)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2d zenon_H1f8 zenon_Ha2 zenon_H93 zenon_H95 zenon_H96 zenon_H63 zenon_H64 zenon_H65 zenon_Ha4 zenon_H3 zenon_H1f1 zenon_H142 zenon_H135 zenon_H134 zenon_H47 zenon_H198 zenon_H73 zenon_H74 zenon_H75 zenon_H1dc zenon_He3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 0.92/1.12 apply (zenon_L136_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 0.92/1.12 apply (zenon_L144_); trivial. % 0.92/1.12 exact (zenon_He3 zenon_He4). % 0.92/1.12 (* end of lemma zenon_L145_ *) % 0.92/1.12 assert (zenon_L146_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H7e zenon_H33 zenon_H1f8 zenon_He3 zenon_H1f1 zenon_H47 zenon_H142 zenon_H135 zenon_H134 zenon_H198 zenon_H1dc zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H95 zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_H3 zenon_H1e2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.92/1.12 apply (zenon_L137_); trivial. % 0.92/1.12 apply (zenon_L145_); trivial. % 0.92/1.12 (* end of lemma zenon_L146_ *) % 0.92/1.12 assert (zenon_L147_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H83 zenon_H33 zenon_H1f8 zenon_He3 zenon_H1f1 zenon_H47 zenon_H142 zenon_H135 zenon_H134 zenon_H198 zenon_H1dc zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H95 zenon_H93 zenon_H3 zenon_H1e2 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.92/1.12 apply (zenon_L30_); trivial. % 0.92/1.12 apply (zenon_L146_); trivial. % 0.92/1.12 (* end of lemma zenon_L147_ *) % 0.92/1.12 assert (zenon_L148_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1d3 zenon_H1fa zenon_H4b zenon_He3 zenon_He5 zenon_H63 zenon_H64 zenon_H65. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 0.92/1.12 apply (zenon_L51_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 0.92/1.12 apply (zenon_L123_); trivial. % 0.92/1.12 apply (zenon_L27_); trivial. % 0.92/1.12 (* end of lemma zenon_L148_ *) % 0.92/1.12 assert (zenon_L149_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp28))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1a0 zenon_H123 zenon_H121 zenon_H11b zenon_H11d zenon_H116 zenon_H106 zenon_H145 zenon_H1fa zenon_Hc0 zenon_H70 zenon_H1dc zenon_H196 zenon_H83 zenon_H1f8 zenon_H1f1 zenon_H198 zenon_H1e2 zenon_He8 zenon_H146 zenon_H36 zenon_H143 zenon_H10b zenon_H1da zenon_H1d6 zenon_H1d8 zenon_Hc3 zenon_Hf1 zenon_H144 zenon_H1c9 zenon_He3 zenon_H4b zenon_He5 zenon_Hbd zenon_H5b zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H158 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H90 zenon_H57 zenon_H47 zenon_H1c7 zenon_H1c3 zenon_Ha4 zenon_Hc1 zenon_H1c4 zenon_H2e zenon_H33 zenon_H173 zenon_H1fc zenon_Hd zenon_H3 zenon_H7 zenon_H5c zenon_H61. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 0.92/1.12 apply (zenon_L4_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.92/1.12 apply (zenon_L7_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 0.92/1.12 apply (zenon_L121_); trivial. % 0.92/1.12 apply (zenon_L122_); trivial. % 0.92/1.12 apply (zenon_L125_); trivial. % 0.92/1.12 apply (zenon_L129_); trivial. % 0.92/1.12 apply (zenon_L25_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 0.92/1.12 apply (zenon_L4_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 0.92/1.12 apply (zenon_L111_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.92/1.12 apply (zenon_L30_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.92/1.12 apply (zenon_L133_); trivial. % 0.92/1.12 apply (zenon_L44_); trivial. % 0.92/1.12 apply (zenon_L45_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.92/1.12 apply (zenon_L147_); trivial. % 0.92/1.12 apply (zenon_L45_); trivial. % 0.92/1.12 apply (zenon_L148_); trivial. % 0.92/1.12 apply (zenon_L52_); trivial. % 0.92/1.12 apply (zenon_L77_); trivial. % 0.92/1.12 (* end of lemma zenon_L149_ *) % 0.92/1.12 assert (zenon_L150_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hc4 zenon_H16 zenon_H1fd zenon_H1fe zenon_H1ff. % 0.92/1.12 generalize (zenon_Hc4 (a507)). zenon_intro zenon_H200. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H200); [ zenon_intro zenon_H15 | zenon_intro zenon_H201 ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ]. % 0.92/1.12 exact (zenon_H1fd zenon_H203). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H205 | zenon_intro zenon_H204 ]. % 0.92/1.12 exact (zenon_H1fe zenon_H205). % 0.92/1.12 exact (zenon_H204 zenon_H1ff). % 0.92/1.12 (* end of lemma zenon_L150_ *) % 0.92/1.12 assert (zenon_L151_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1a1 zenon_He8 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H4b zenon_He3 zenon_He5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.92/1.12 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.92/1.12 apply (zenon_L150_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.92/1.12 apply (zenon_L51_); trivial. % 0.92/1.12 apply (zenon_L27_); trivial. % 0.92/1.12 (* end of lemma zenon_L151_ *) % 0.92/1.12 assert (zenon_L152_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1a0 zenon_He8 zenon_He3 zenon_He5 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H11 zenon_H13 zenon_Hd zenon_H5c zenon_H4b zenon_H47 zenon_H57 zenon_H5b zenon_H61. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.92/1.12 apply (zenon_L26_); trivial. % 0.92/1.12 apply (zenon_L151_); trivial. % 0.92/1.12 (* end of lemma zenon_L152_ *) % 0.92/1.12 assert (zenon_L153_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp8)) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hf1 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H16 zenon_Hef zenon_H47. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hf2 ]. % 0.92/1.12 apply (zenon_L150_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H48 ]. % 0.92/1.12 exact (zenon_Hef zenon_Hf0). % 0.92/1.12 exact (zenon_H47 zenon_H48). % 0.92/1.12 (* end of lemma zenon_L153_ *) % 0.92/1.12 assert (zenon_L154_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> (ndr1_0) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H10b zenon_H1da zenon_H2b zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H1 zenon_H1d6 zenon_H1d8 zenon_H16 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H47 zenon_Hf1. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 0.92/1.12 apply (zenon_L153_); trivial. % 0.92/1.12 apply (zenon_L128_); trivial. % 0.92/1.12 (* end of lemma zenon_L154_ *) % 0.92/1.12 assert (zenon_L155_ : ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (c1_1 (a514)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a514))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1da zenon_H64 zenon_Hda zenon_H63 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H16 zenon_H2b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1db ]. % 0.92/1.12 apply (zenon_L49_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H15b | zenon_intro zenon_H2c ]. % 0.92/1.12 apply (zenon_L105_); trivial. % 0.92/1.12 exact (zenon_H2b zenon_H2c). % 0.92/1.12 (* end of lemma zenon_L155_ *) % 0.92/1.12 assert (zenon_L156_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(hskp2)) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1a1 zenon_He8 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H2b zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H1da. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.92/1.12 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.92/1.12 apply (zenon_L150_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.92/1.12 apply (zenon_L155_); trivial. % 0.92/1.12 apply (zenon_L27_); trivial. % 0.92/1.12 (* end of lemma zenon_L156_ *) % 0.92/1.12 assert (zenon_L157_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_He8 zenon_H10b zenon_H1da zenon_H2b zenon_H1d6 zenon_H1d8 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H47 zenon_Hf1 zenon_H5c zenon_H4b zenon_H57 zenon_H5b zenon_H61. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.92/1.12 apply (zenon_L154_); trivial. % 0.92/1.12 apply (zenon_L25_); trivial. % 0.92/1.12 apply (zenon_L156_); trivial. % 0.92/1.12 (* end of lemma zenon_L157_ *) % 0.92/1.12 assert (zenon_L158_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H209 zenon_H10b zenon_H1da zenon_H1d6 zenon_H1d8 zenon_Hf1 zenon_H61 zenon_H5b zenon_H57 zenon_H47 zenon_H4b zenon_H5c zenon_Hd zenon_H13 zenon_H2b zenon_H2e zenon_H33 zenon_H36 zenon_H1fd zenon_H1fe zenon_H1ff zenon_He5 zenon_He3 zenon_He8 zenon_H1a0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.92/1.12 apply (zenon_L152_); trivial. % 0.92/1.12 apply (zenon_L157_); trivial. % 0.92/1.12 (* end of lemma zenon_L158_ *) % 0.92/1.12 assert (zenon_L159_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H20a zenon_H16 zenon_H20b zenon_H20c zenon_H20d. % 0.92/1.12 generalize (zenon_H20a (a505)). zenon_intro zenon_H20e. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H20e); [ zenon_intro zenon_H15 | zenon_intro zenon_H20f ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H211 | zenon_intro zenon_H210 ]. % 0.92/1.12 exact (zenon_H20b zenon_H211). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H213 | zenon_intro zenon_H212 ]. % 0.92/1.12 exact (zenon_H213 zenon_H20c). % 0.92/1.12 exact (zenon_H212 zenon_H20d). % 0.92/1.12 (* end of lemma zenon_L159_ *) % 0.92/1.12 assert (zenon_L160_ : (~(hskp16)) -> (hskp16) -> False). % 0.92/1.12 do 0 intro. intros zenon_H214 zenon_H215. % 0.92/1.12 exact (zenon_H214 zenon_H215). % 0.92/1.12 (* end of lemma zenon_L160_ *) % 0.92/1.12 assert (zenon_L161_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp16)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H16 zenon_Hf zenon_H214. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H20a | zenon_intro zenon_H217 ]. % 0.92/1.12 apply (zenon_L159_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H10 | zenon_intro zenon_H215 ]. % 0.92/1.12 exact (zenon_Hf zenon_H10). % 0.92/1.12 exact (zenon_H214 zenon_H215). % 0.92/1.12 (* end of lemma zenon_L161_ *) % 0.92/1.12 assert (zenon_L162_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (ndr1_0) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H33 zenon_H2e zenon_H2b zenon_H1a zenon_H19 zenon_H18 zenon_H16 zenon_H20b zenon_H20c zenon_H20d zenon_H214 zenon_H216. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.92/1.12 apply (zenon_L161_); trivial. % 0.92/1.12 apply (zenon_L15_); trivial. % 0.92/1.12 (* end of lemma zenon_L162_ *) % 0.92/1.12 assert (zenon_L163_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp17)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H218 zenon_H20d zenon_H20c zenon_H20b zenon_H16 zenon_H4b zenon_Ha2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H20a | zenon_intro zenon_H219 ]. % 0.92/1.12 apply (zenon_L159_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.92/1.12 exact (zenon_H4b zenon_H4c). % 0.92/1.12 exact (zenon_Ha2 zenon_Ha3). % 0.92/1.12 (* end of lemma zenon_L163_ *) % 0.92/1.12 assert (zenon_L164_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a530))) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1de zenon_H16 zenon_H21a zenon_H21b zenon_H21c. % 0.92/1.12 generalize (zenon_H1de (a530)). zenon_intro zenon_H21d. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H21d); [ zenon_intro zenon_H15 | zenon_intro zenon_H21e ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H220 | zenon_intro zenon_H21f ]. % 0.92/1.12 exact (zenon_H21a zenon_H220). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ]. % 0.92/1.12 exact (zenon_H21b zenon_H222). % 0.92/1.12 exact (zenon_H221 zenon_H21c). % 0.92/1.12 (* end of lemma zenon_L164_ *) % 0.92/1.12 assert (zenon_L165_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a530))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H10c zenon_H16 zenon_H21b zenon_H1de zenon_H21c zenon_H223. % 0.92/1.12 generalize (zenon_H10c (a530)). zenon_intro zenon_H224. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H224); [ zenon_intro zenon_H15 | zenon_intro zenon_H225 ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H222 | zenon_intro zenon_H226 ]. % 0.92/1.12 exact (zenon_H21b zenon_H222). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21a | zenon_intro zenon_H227 ]. % 0.92/1.12 apply (zenon_L164_); trivial. % 0.92/1.12 exact (zenon_H227 zenon_H223). % 0.92/1.12 (* end of lemma zenon_L165_ *) % 0.92/1.12 assert (zenon_L166_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(hskp9)) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (c3_1 (a530)) -> (c2_1 (a530)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a530))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H116 zenon_Hc1 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc3 zenon_H223 zenon_H21c zenon_H1de zenon_H21b zenon_H16 zenon_Hf. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H117 ]. % 0.92/1.12 apply (zenon_L48_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10c | zenon_intro zenon_H10 ]. % 0.92/1.12 apply (zenon_L165_); trivial. % 0.92/1.12 exact (zenon_Hf zenon_H10). % 0.92/1.12 (* end of lemma zenon_L166_ *) % 0.92/1.12 assert (zenon_L167_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp28)) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> (~(hskp9)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H228 zenon_Hf zenon_H21b zenon_H21c zenon_H223 zenon_Hc3 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_Hc1 zenon_H116 zenon_H20d zenon_H20c zenon_H20b zenon_H16 zenon_H1d6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1de | zenon_intro zenon_H229 ]. % 0.92/1.12 apply (zenon_L166_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H20a | zenon_intro zenon_H1d7 ]. % 0.92/1.12 apply (zenon_L159_); trivial. % 0.92/1.12 exact (zenon_H1d6 zenon_H1d7). % 0.92/1.12 (* end of lemma zenon_L167_ *) % 0.92/1.12 assert (zenon_L168_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H32 zenon_H22a zenon_H143 zenon_H116 zenon_Hc1 zenon_Hc3 zenon_H1d6 zenon_H228 zenon_H4b zenon_H218 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H2b zenon_H2e zenon_H33. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 0.92/1.12 apply (zenon_L162_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.92/1.12 apply (zenon_L163_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 0.92/1.12 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.92/1.12 apply (zenon_L167_); trivial. % 0.92/1.12 apply (zenon_L15_); trivial. % 0.92/1.12 (* end of lemma zenon_L168_ *) % 0.92/1.12 assert (zenon_L169_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H36 zenon_H22a zenon_H143 zenon_H116 zenon_Hc1 zenon_Hc3 zenon_H1d6 zenon_H228 zenon_H4b zenon_H218 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H2b zenon_H2e zenon_H33 zenon_H1 zenon_Hb zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.92/1.12 apply (zenon_L7_); trivial. % 0.92/1.12 apply (zenon_L168_); trivial. % 0.92/1.12 (* end of lemma zenon_L169_ *) % 0.92/1.12 assert (zenon_L170_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (ndr1_0) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H145 zenon_He5 zenon_H4b zenon_H216 zenon_H214 zenon_H20d zenon_H20c zenon_H20b zenon_H16 zenon_H2e zenon_H2b zenon_H39 zenon_H3b zenon_H11d zenon_H11b zenon_He3 zenon_H121 zenon_H33. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.92/1.12 apply (zenon_L161_); trivial. % 0.92/1.12 apply (zenon_L69_); trivial. % 0.92/1.12 apply (zenon_L72_); trivial. % 0.92/1.12 (* end of lemma zenon_L170_ *) % 0.92/1.12 assert (zenon_L171_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a514)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a514))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H64 zenon_Hda zenon_H63 zenon_H16 zenon_H9. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H20a | zenon_intro zenon_H22f ]. % 0.92/1.12 apply (zenon_L159_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Ha ]. % 0.92/1.12 apply (zenon_L49_); trivial. % 0.92/1.12 exact (zenon_H9 zenon_Ha). % 0.92/1.12 (* end of lemma zenon_L171_ *) % 0.92/1.12 assert (zenon_L172_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a505))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21)))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hc4 zenon_H16 zenon_H20b zenon_Ha6 zenon_H20c zenon_H20d. % 0.92/1.12 generalize (zenon_Hc4 (a505)). zenon_intro zenon_H230. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H230); [ zenon_intro zenon_H15 | zenon_intro zenon_H231 ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H211 | zenon_intro zenon_H232 ]. % 0.92/1.12 exact (zenon_H20b zenon_H211). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H233 | zenon_intro zenon_H212 ]. % 0.92/1.12 generalize (zenon_Ha6 (a505)). zenon_intro zenon_H234. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H234); [ zenon_intro zenon_H15 | zenon_intro zenon_H235 ]. % 0.92/1.12 exact (zenon_H15 zenon_H16). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H211 | zenon_intro zenon_H236 ]. % 0.92/1.12 exact (zenon_H20b zenon_H211). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H237 | zenon_intro zenon_H213 ]. % 0.96/1.12 exact (zenon_H237 zenon_H233). % 0.96/1.12 exact (zenon_H213 zenon_H20c). % 0.96/1.12 exact (zenon_H212 zenon_H20d). % 0.96/1.12 (* end of lemma zenon_L172_ *) % 0.96/1.12 assert (zenon_L173_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 0.96/1.12 do 0 intro. intros zenon_H1fa zenon_H9 zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_Hc4 zenon_H16 zenon_H63 zenon_H64 zenon_H65. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 0.96/1.12 apply (zenon_L171_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 0.96/1.12 apply (zenon_L172_); trivial. % 0.96/1.12 apply (zenon_L27_); trivial. % 0.96/1.12 (* end of lemma zenon_L173_ *) % 0.96/1.12 assert (zenon_L174_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp15)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 0.96/1.12 do 0 intro. intros zenon_He8 zenon_H1fa zenon_H9 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H16 zenon_H63 zenon_H64 zenon_H65. % 0.96/1.12 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.12 apply (zenon_L173_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.12 apply (zenon_L171_); trivial. % 0.96/1.12 apply (zenon_L27_); trivial. % 0.96/1.12 (* end of lemma zenon_L174_ *) % 0.96/1.12 assert (zenon_L175_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H1a1 zenon_H36 zenon_H22a zenon_H143 zenon_H116 zenon_Hc1 zenon_Hc3 zenon_H1d6 zenon_H228 zenon_H4b zenon_H218 zenon_H216 zenon_H2b zenon_H2e zenon_H33 zenon_H1fa zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_He8. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.12 apply (zenon_L174_); trivial. % 0.96/1.12 apply (zenon_L168_); trivial. % 0.96/1.12 (* end of lemma zenon_L175_ *) % 0.96/1.12 assert (zenon_L176_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (c3_1 (a530)) -> (c2_1 (a530)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a530))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.96/1.12 do 0 intro. intros zenon_H116 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H223 zenon_H21c zenon_H1de zenon_H21b zenon_H16 zenon_Hf. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H117 ]. % 0.96/1.12 apply (zenon_L150_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10c | zenon_intro zenon_H10 ]. % 0.96/1.12 apply (zenon_L165_); trivial. % 0.96/1.12 exact (zenon_Hf zenon_H10). % 0.96/1.12 (* end of lemma zenon_L176_ *) % 0.96/1.12 assert (zenon_L177_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp28)) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.96/1.12 do 0 intro. intros zenon_H228 zenon_Hf zenon_H21b zenon_H21c zenon_H223 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H116 zenon_H20d zenon_H20c zenon_H20b zenon_H16 zenon_H1d6. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1de | zenon_intro zenon_H229 ]. % 0.96/1.12 apply (zenon_L176_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H20a | zenon_intro zenon_H1d7 ]. % 0.96/1.12 apply (zenon_L159_); trivial. % 0.96/1.12 exact (zenon_H1d6 zenon_H1d7). % 0.96/1.12 (* end of lemma zenon_L177_ *) % 0.96/1.12 assert (zenon_L178_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H32 zenon_H22a zenon_H116 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H1d6 zenon_H228 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H2b zenon_H2e zenon_H33. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 0.96/1.12 apply (zenon_L162_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.96/1.12 apply (zenon_L177_); trivial. % 0.96/1.12 apply (zenon_L15_); trivial. % 0.96/1.12 (* end of lemma zenon_L178_ *) % 0.96/1.12 assert (zenon_L179_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H36 zenon_H22a zenon_H116 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H1d6 zenon_H228 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H2b zenon_H2e zenon_H33 zenon_H1 zenon_Hb zenon_Hd. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.12 apply (zenon_L7_); trivial. % 0.96/1.12 apply (zenon_L178_); trivial. % 0.96/1.12 (* end of lemma zenon_L179_ *) % 0.96/1.12 assert (zenon_L180_ : (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))) -> (ndr1_0) -> (~(c1_1 (a530))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (c2_1 (a530)) -> False). % 0.96/1.12 do 0 intro. intros zenon_H238 zenon_H16 zenon_H21b zenon_H1de zenon_H21c. % 0.96/1.12 generalize (zenon_H238 (a530)). zenon_intro zenon_H239. % 0.96/1.12 apply (zenon_imply_s _ _ zenon_H239); [ zenon_intro zenon_H15 | zenon_intro zenon_H23a ]. % 0.96/1.12 exact (zenon_H15 zenon_H16). % 0.96/1.12 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H222 | zenon_intro zenon_H23b ]. % 0.96/1.12 exact (zenon_H21b zenon_H222). % 0.96/1.12 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21a | zenon_intro zenon_H221 ]. % 0.96/1.12 apply (zenon_L164_); trivial. % 0.96/1.12 exact (zenon_H221 zenon_H21c). % 0.96/1.12 (* end of lemma zenon_L180_ *) % 0.96/1.12 assert (zenon_L181_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (c2_1 (a530)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a530))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.96/1.12 do 0 intro. intros zenon_H23c zenon_H1ff zenon_H1fe zenon_H1fd zenon_H21c zenon_H1de zenon_H21b zenon_H16 zenon_H11b. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 0.96/1.12 apply (zenon_L150_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 0.96/1.12 apply (zenon_L180_); trivial. % 0.96/1.12 exact (zenon_H11b zenon_H11c). % 0.96/1.12 (* end of lemma zenon_L181_ *) % 0.96/1.12 assert (zenon_L182_ : ((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp7)) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp3)) -> False). % 0.96/1.12 do 0 intro. intros zenon_H22b zenon_H228 zenon_H11b zenon_H1fd zenon_H1fe zenon_H1ff zenon_H23c zenon_H20d zenon_H20c zenon_H20b zenon_H1d6. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1de | zenon_intro zenon_H229 ]. % 0.96/1.12 apply (zenon_L181_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H20a | zenon_intro zenon_H1d7 ]. % 0.96/1.12 apply (zenon_L159_); trivial. % 0.96/1.12 exact (zenon_H1d6 zenon_H1d7). % 0.96/1.12 (* end of lemma zenon_L182_ *) % 0.96/1.12 assert (zenon_L183_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H23e zenon_H23c zenon_H61 zenon_H121 zenon_He3 zenon_H11b zenon_H11d zenon_He5 zenon_H145 zenon_Hd zenon_H33 zenon_H2e zenon_H2b zenon_H20b zenon_H20c zenon_H20d zenon_H216 zenon_H218 zenon_H4b zenon_H228 zenon_H1d6 zenon_Hc3 zenon_H116 zenon_H143 zenon_H22a zenon_H36 zenon_He8 zenon_H22e zenon_H1fa zenon_H1a0. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.12 apply (zenon_L169_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 0.96/1.12 apply (zenon_L170_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.12 apply (zenon_L163_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 0.96/1.12 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 0.96/1.12 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.96/1.12 apply (zenon_L167_); trivial. % 0.96/1.12 apply (zenon_L69_); trivial. % 0.96/1.12 apply (zenon_L72_); trivial. % 0.96/1.12 apply (zenon_L175_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.12 apply (zenon_L179_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 0.96/1.12 apply (zenon_L170_); trivial. % 0.96/1.12 apply (zenon_L182_); trivial. % 0.96/1.12 apply (zenon_L151_); trivial. % 0.96/1.12 (* end of lemma zenon_L183_ *) % 0.96/1.12 assert (zenon_L184_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W))))) -> (ndr1_0) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H94 zenon_H16 zenon_H242 zenon_H243 zenon_H244. % 0.96/1.12 generalize (zenon_H94 (a502)). zenon_intro zenon_H245. % 0.96/1.12 apply (zenon_imply_s _ _ zenon_H245); [ zenon_intro zenon_H15 | zenon_intro zenon_H246 ]. % 0.96/1.12 exact (zenon_H15 zenon_H16). % 0.96/1.12 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H248 | zenon_intro zenon_H247 ]. % 0.96/1.12 exact (zenon_H242 zenon_H248). % 0.96/1.12 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H24a | zenon_intro zenon_H249 ]. % 0.96/1.12 exact (zenon_H243 zenon_H24a). % 0.96/1.12 exact (zenon_H244 zenon_H249). % 0.96/1.12 (* end of lemma zenon_L184_ *) % 0.96/1.12 assert (zenon_L185_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp2)) -> False). % 0.96/1.12 do 0 intro. intros zenon_H56 zenon_Hb7 zenon_H244 zenon_H243 zenon_H242 zenon_H2b. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 0.96/1.12 apply (zenon_L184_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 0.96/1.12 apply (zenon_L22_); trivial. % 0.96/1.12 exact (zenon_H2b zenon_H2c). % 0.96/1.12 (* end of lemma zenon_L185_ *) % 0.96/1.12 assert (zenon_L186_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H5e zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_H5c zenon_H4b zenon_H2b zenon_Hb7. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 0.96/1.12 apply (zenon_L184_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ]. % 0.96/1.12 apply (zenon_L18_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4a | zenon_intro zenon_H4c ]. % 0.96/1.12 exact (zenon_H49 zenon_H4a). % 0.96/1.12 exact (zenon_H4b zenon_H4c). % 0.96/1.12 exact (zenon_H2b zenon_H2c). % 0.96/1.12 apply (zenon_L185_); trivial. % 0.96/1.12 (* end of lemma zenon_L186_ *) % 0.96/1.12 assert (zenon_L187_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H61 zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_H5c zenon_H4b zenon_Hb7 zenon_Hd zenon_Hb zenon_H13 zenon_H11 zenon_H2b zenon_H2e zenon_H33 zenon_H36. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.12 apply (zenon_L17_); trivial. % 0.96/1.12 apply (zenon_L186_); trivial. % 0.96/1.12 (* end of lemma zenon_L187_ *) % 0.96/1.12 assert (zenon_L188_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> False). % 0.96/1.12 do 0 intro. intros zenon_Hb6 zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7. % 0.96/1.12 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 0.96/1.12 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 0.96/1.12 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 0.96/1.12 apply (zenon_L184_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 0.96/1.12 apply (zenon_L43_); trivial. % 0.96/1.12 exact (zenon_H2b zenon_H2c). % 0.96/1.12 apply (zenon_L185_); trivial. % 0.96/1.12 (* end of lemma zenon_L188_ *) % 0.96/1.12 assert (zenon_L189_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> False). % 0.96/1.12 do 0 intro. intros zenon_Hbc zenon_Hbd zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H1 zenon_H90. % 0.96/1.12 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 0.96/1.12 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 0.96/1.12 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.12 apply (zenon_L37_); trivial. % 0.96/1.12 apply (zenon_L188_); trivial. % 0.96/1.12 (* end of lemma zenon_L189_ *) % 0.96/1.12 assert (zenon_L190_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H11 zenon_H7c zenon_H7f zenon_H83. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.12 apply (zenon_L34_); trivial. % 0.96/1.12 apply (zenon_L189_); trivial. % 0.96/1.12 (* end of lemma zenon_L190_ *) % 0.96/1.12 assert (zenon_L191_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H5c zenon_H4b zenon_H83 zenon_H7f zenon_H7c zenon_H11 zenon_H70 zenon_H90 zenon_Hb7 zenon_H2b zenon_Hb2 zenon_Hb4 zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_Hbd zenon_Hc0. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.12 apply (zenon_L190_); trivial. % 0.96/1.12 apply (zenon_L186_); trivial. % 0.96/1.12 (* end of lemma zenon_L191_ *) % 0.96/1.12 assert (zenon_L192_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H1a0 zenon_H83 zenon_H7f zenon_H7c zenon_H70 zenon_H90 zenon_Hb2 zenon_Hb4 zenon_Hbd zenon_Hc0 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H11 zenon_H13 zenon_Hd zenon_Hb7 zenon_H4b zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_H61. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.12 apply (zenon_L187_); trivial. % 0.96/1.12 apply (zenon_L191_); trivial. % 0.96/1.12 (* end of lemma zenon_L192_ *) % 0.96/1.12 assert (zenon_L193_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H196 zenon_Hc1 zenon_H14c zenon_H14b zenon_H14a zenon_H3 zenon_H198 zenon_H83. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.12 apply (zenon_L98_); trivial. % 0.96/1.12 apply (zenon_L189_); trivial. % 0.96/1.12 (* end of lemma zenon_L193_ *) % 0.96/1.12 assert (zenon_L194_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp4)) -> False). % 0.96/1.12 do 0 intro. intros zenon_H5c zenon_H39 zenon_H3a zenon_H3b zenon_H153 zenon_H16 zenon_H49 zenon_H4b. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ]. % 0.96/1.12 apply (zenon_L80_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4a | zenon_intro zenon_H4c ]. % 0.96/1.12 exact (zenon_H49 zenon_H4a). % 0.96/1.12 exact (zenon_H4b zenon_H4c). % 0.96/1.12 (* end of lemma zenon_L194_ *) % 0.96/1.12 assert (zenon_L195_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (~(hskp3)) -> False). % 0.96/1.12 do 0 intro. intros zenon_H56 zenon_H24b zenon_H14c zenon_H14b zenon_H14a zenon_H1d6. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H24c ]. % 0.96/1.12 apply (zenon_L79_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1d7 ]. % 0.96/1.12 apply (zenon_L22_); trivial. % 0.96/1.12 exact (zenon_H1d6 zenon_H1d7). % 0.96/1.12 (* end of lemma zenon_L195_ *) % 0.96/1.12 assert (zenon_L196_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a538)) -> (~(c3_1 (a538))) -> (~(c1_1 (a538))) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp4)) -> False). % 0.96/1.12 do 0 intro. intros zenon_H5c zenon_H18a zenon_H189 zenon_H188 zenon_H16 zenon_H49 zenon_H4b. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H37 | zenon_intro zenon_H5d ]. % 0.96/1.12 apply (zenon_L91_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4a | zenon_intro zenon_H4c ]. % 0.96/1.12 exact (zenon_H49 zenon_H4a). % 0.96/1.12 exact (zenon_H4b zenon_H4c). % 0.96/1.12 (* end of lemma zenon_L196_ *) % 0.96/1.12 assert (zenon_L197_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H191 zenon_H5b zenon_H24b zenon_H1d6 zenon_H14c zenon_H14b zenon_H14a zenon_H4b zenon_H5c. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.96/1.12 apply (zenon_L196_); trivial. % 0.96/1.12 apply (zenon_L195_); trivial. % 0.96/1.12 (* end of lemma zenon_L197_ *) % 0.96/1.12 assert (zenon_L198_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H5e zenon_H195 zenon_H174 zenon_H4b zenon_H5c zenon_H14c zenon_H14b zenon_H14a zenon_H1d6 zenon_H24b zenon_H5b. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H176 ]. % 0.96/1.12 apply (zenon_L79_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H153 | zenon_intro zenon_H169 ]. % 0.96/1.12 apply (zenon_L194_); trivial. % 0.96/1.12 exact (zenon_H168 zenon_H169). % 0.96/1.12 apply (zenon_L195_); trivial. % 0.96/1.12 apply (zenon_L197_); trivial. % 0.96/1.12 (* end of lemma zenon_L198_ *) % 0.96/1.12 assert (zenon_L199_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H195 zenon_H174 zenon_H4b zenon_H5c zenon_H1d6 zenon_H24b zenon_H83 zenon_H198 zenon_H3 zenon_H14a zenon_H14b zenon_H14c zenon_Hc1 zenon_H196 zenon_H70 zenon_H90 zenon_Hb7 zenon_H2b zenon_Hb2 zenon_Hb4 zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_Hbd zenon_Hc0. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.12 apply (zenon_L193_); trivial. % 0.96/1.12 apply (zenon_L198_); trivial. % 0.96/1.12 (* end of lemma zenon_L199_ *) % 0.96/1.12 assert (zenon_L200_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(hskp19)) -> (~(hskp18)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(c1_1 (a527))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H173 zenon_H242 zenon_H243 zenon_H244 zenon_H1c3 zenon_H104 zenon_H1c1 zenon_Ha4 zenon_Ha2 zenon_Hc1 zenon_H1c4 zenon_H90 zenon_H1 zenon_H16 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H93 zenon_H96 zenon_H158 zenon_Hb7 zenon_H2b zenon_Hb2 zenon_Hb4 zenon_H95 zenon_H5b zenon_Hbd. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 0.96/1.12 apply (zenon_L111_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.12 apply (zenon_L119_); trivial. % 0.96/1.12 apply (zenon_L188_); trivial. % 0.96/1.12 (* end of lemma zenon_L200_ *) % 0.96/1.12 assert (zenon_L201_ : (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c3_1 (a534))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> False). % 0.96/1.12 do 0 intro. intros zenon_H17 zenon_H16 zenon_H142 zenon_Hda zenon_H134 zenon_H135. % 0.96/1.12 generalize (zenon_H17 (a534)). zenon_intro zenon_H1f6. % 0.96/1.12 apply (zenon_imply_s _ _ zenon_H1f6); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f7 ]. % 0.96/1.12 exact (zenon_H15 zenon_H16). % 0.96/1.12 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H13e ]. % 0.96/1.12 exact (zenon_H142 zenon_H1e8). % 0.96/1.12 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H133 | zenon_intro zenon_H13a ]. % 0.96/1.12 apply (zenon_L73_); trivial. % 0.96/1.12 exact (zenon_H13a zenon_H135). % 0.96/1.12 (* end of lemma zenon_L201_ *) % 0.96/1.12 assert (zenon_L202_ : ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp9)) -> (ndr1_0) -> (~(c3_1 (a534))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (~(hskp17)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp13)) -> (~(hskp30)) -> False). % 0.96/1.12 do 0 intro. intros zenon_H90 zenon_Hc1 zenon_H16 zenon_H142 zenon_Hda zenon_H134 zenon_H135 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H96 zenon_H93 zenon_Ha2 zenon_H1c4 zenon_H1 zenon_H8e. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H84 | zenon_intro zenon_H91 ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c6 ]. % 0.96/1.12 apply (zenon_L114_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H17 | zenon_intro zenon_Hc2 ]. % 0.96/1.12 apply (zenon_L201_); trivial. % 0.96/1.12 exact (zenon_Hc1 zenon_Hc2). % 0.96/1.12 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H2 | zenon_intro zenon_H8f ]. % 0.96/1.12 exact (zenon_H1 zenon_H2). % 0.96/1.12 exact (zenon_H8e zenon_H8f). % 0.96/1.12 (* end of lemma zenon_L202_ *) % 0.96/1.12 assert (zenon_L203_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (~(hskp30)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (ndr1_0) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp9)) -> False). % 0.96/1.12 do 0 intro. intros zenon_H196 zenon_H1c4 zenon_H135 zenon_H134 zenon_H142 zenon_H8e zenon_H1 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H96 zenon_H93 zenon_H16 zenon_Ha2 zenon_H90 zenon_Hc1. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hda | zenon_intro zenon_H197 ]. % 0.96/1.12 apply (zenon_L202_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hc2 ]. % 0.96/1.12 apply (zenon_L130_); trivial. % 0.96/1.12 exact (zenon_Hc1 zenon_Hc2). % 0.96/1.12 (* end of lemma zenon_L203_ *) % 0.96/1.12 assert (zenon_L204_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H1d3 zenon_H5b zenon_Hb7 zenon_H2b zenon_H244 zenon_H243 zenon_H242 zenon_Hb2 zenon_Hb4. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.96/1.12 apply (zenon_L124_); trivial. % 0.96/1.12 apply (zenon_L185_); trivial. % 0.96/1.12 (* end of lemma zenon_L204_ *) % 0.96/1.12 assert (zenon_L205_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(c1_1 (a527))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H1fc zenon_H173 zenon_H242 zenon_H243 zenon_H244 zenon_H1c3 zenon_Ha4 zenon_Ha2 zenon_Hc1 zenon_H1c4 zenon_H90 zenon_H1 zenon_H16 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H93 zenon_H96 zenon_H158 zenon_Hb7 zenon_H2b zenon_Hb2 zenon_Hb4 zenon_H95 zenon_H5b zenon_Hbd zenon_H196 zenon_H144. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 0.96/1.12 apply (zenon_L200_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.12 apply (zenon_L203_); trivial. % 0.96/1.12 apply (zenon_L188_); trivial. % 0.96/1.12 apply (zenon_L204_); trivial. % 0.96/1.12 (* end of lemma zenon_L205_ *) % 0.96/1.12 assert (zenon_L206_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H146 zenon_H143 zenon_H10b zenon_H1da zenon_H1d6 zenon_H1d8 zenon_Hc3 zenon_H47 zenon_Hf1 zenon_H144 zenon_H196 zenon_Hbd zenon_H5b zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H158 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H90 zenon_H1c4 zenon_Hc1 zenon_Ha4 zenon_H1c3 zenon_H244 zenon_H243 zenon_H242 zenon_H173 zenon_H1fc zenon_H1 zenon_H3 zenon_H7. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 0.96/1.12 apply (zenon_L4_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.12 apply (zenon_L205_); trivial. % 0.96/1.12 apply (zenon_L129_); trivial. % 0.96/1.12 (* end of lemma zenon_L206_ *) % 0.96/1.12 assert (zenon_L207_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H83 zenon_He8 zenon_H3 zenon_H198 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.96/1.12 apply (zenon_L30_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 0.96/1.12 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.12 apply (zenon_L150_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 0.96/1.12 apply (zenon_L31_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 0.96/1.12 apply (zenon_L49_); trivial. % 0.96/1.12 exact (zenon_H3 zenon_H4). % 0.96/1.12 apply (zenon_L27_); trivial. % 0.96/1.12 (* end of lemma zenon_L207_ *) % 0.96/1.12 assert (zenon_L208_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H198 zenon_H3 zenon_He8 zenon_H83. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.12 apply (zenon_L207_); trivial. % 0.96/1.12 apply (zenon_L189_); trivial. % 0.96/1.12 (* end of lemma zenon_L208_ *) % 0.96/1.12 assert (zenon_L209_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H195 zenon_H173 zenon_H14a zenon_H14b zenon_H14c zenon_H166 zenon_H158 zenon_H174 zenon_H11 zenon_H184 zenon_H192 zenon_H83 zenon_He8 zenon_H3 zenon_H198 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H70 zenon_H90 zenon_Hb7 zenon_H2b zenon_Hb2 zenon_Hb4 zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_Hbd zenon_Hc0. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.12 apply (zenon_L208_); trivial. % 0.96/1.12 apply (zenon_L94_); trivial. % 0.96/1.12 (* end of lemma zenon_L209_ *) % 0.96/1.12 assert (zenon_L210_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_H83 zenon_He8 zenon_H3 zenon_H198 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H70 zenon_H90 zenon_Hb7 zenon_Hb2 zenon_Hb4 zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_Hbd zenon_Hc0 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H11 zenon_H13 zenon_Hd zenon_H192 zenon_H184 zenon_H174 zenon_H158 zenon_H166 zenon_H173 zenon_H195 zenon_H61. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.13 apply (zenon_L95_); trivial. % 0.96/1.13 apply (zenon_L209_); trivial. % 0.96/1.13 (* end of lemma zenon_L210_ *) % 0.96/1.13 assert (zenon_L211_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H61 zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_H5c zenon_Hb7 zenon_Hd zenon_Hb zenon_H33 zenon_H2e zenon_H2b zenon_H20b zenon_H20c zenon_H20d zenon_H216 zenon_H218 zenon_H4b zenon_H228 zenon_H1d6 zenon_Hc3 zenon_Hc1 zenon_H116 zenon_H143 zenon_H22a zenon_H36. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.13 apply (zenon_L169_); trivial. % 0.96/1.13 apply (zenon_L186_); trivial. % 0.96/1.13 (* end of lemma zenon_L211_ *) % 0.96/1.13 assert (zenon_L212_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H1a0 zenon_H1fa zenon_H22e zenon_He8 zenon_H36 zenon_H22a zenon_H143 zenon_H116 zenon_Hc1 zenon_Hc3 zenon_H1d6 zenon_H228 zenon_H4b zenon_H218 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H2b zenon_H2e zenon_H33 zenon_Hd zenon_Hb7 zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_H61. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.13 apply (zenon_L211_); trivial. % 0.96/1.13 apply (zenon_L175_); trivial. % 0.96/1.13 (* end of lemma zenon_L212_ *) % 0.96/1.13 assert (zenon_L213_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H61 zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_H5c zenon_H4b zenon_Hb7 zenon_Hd zenon_Hb zenon_H33 zenon_H2e zenon_H2b zenon_H20b zenon_H20c zenon_H20d zenon_H216 zenon_H228 zenon_H1d6 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H116 zenon_H22a zenon_H36. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.13 apply (zenon_L179_); trivial. % 0.96/1.13 apply (zenon_L186_); trivial. % 0.96/1.13 (* end of lemma zenon_L213_ *) % 0.96/1.13 assert (zenon_L214_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H1a0 zenon_H83 zenon_H7f zenon_H7c zenon_H11 zenon_H70 zenon_H90 zenon_Hb2 zenon_Hb4 zenon_Hbd zenon_Hc0 zenon_H36 zenon_H22a zenon_H116 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H1d6 zenon_H228 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H2b zenon_H2e zenon_H33 zenon_Hd zenon_Hb7 zenon_H4b zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_H61. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.13 apply (zenon_L213_); trivial. % 0.96/1.13 apply (zenon_L191_); trivial. % 0.96/1.13 (* end of lemma zenon_L214_ *) % 0.96/1.13 assert (zenon_L215_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_He8 zenon_H1da zenon_H36 zenon_H22a zenon_H116 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H1d6 zenon_H228 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H2b zenon_H2e zenon_H33 zenon_Hd zenon_Hb7 zenon_H4b zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_H61. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.13 apply (zenon_L213_); trivial. % 0.96/1.13 apply (zenon_L156_); trivial. % 0.96/1.13 (* end of lemma zenon_L215_ *) % 0.96/1.13 assert (zenon_L216_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H250 zenon_H216 zenon_H218 zenon_H228 zenon_H116 zenon_H22a zenon_H22e zenon_H1fa zenon_H209 zenon_H7 zenon_H1fc zenon_H1c3 zenon_Ha4 zenon_H1c4 zenon_H144 zenon_Hf1 zenon_Hc3 zenon_H1d8 zenon_H1da zenon_H10b zenon_H143 zenon_H146 zenon_H1a0 zenon_H83 zenon_H7f zenon_H70 zenon_H90 zenon_Hb2 zenon_Hb4 zenon_Hbd zenon_Hc0 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H13 zenon_Hd zenon_Hb7 zenon_H4b zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_H61 zenon_H195 zenon_H173 zenon_H166 zenon_H158 zenon_H174 zenon_H184 zenon_H192 zenon_H196 zenon_H3 zenon_H198 zenon_H24b zenon_H1d6 zenon_H251 zenon_He8 zenon_H23e. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 0.96/1.13 apply (zenon_L192_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.13 apply (zenon_L95_); trivial. % 0.96/1.13 apply (zenon_L199_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.13 apply (zenon_L206_); trivial. % 0.96/1.13 apply (zenon_L186_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 0.96/1.13 apply (zenon_L192_); trivial. % 0.96/1.13 apply (zenon_L210_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.13 apply (zenon_L154_); trivial. % 0.96/1.13 apply (zenon_L186_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 0.96/1.13 apply (zenon_L212_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 0.96/1.13 apply (zenon_L214_); trivial. % 0.96/1.13 apply (zenon_L210_); trivial. % 0.96/1.13 apply (zenon_L215_); trivial. % 0.96/1.13 (* end of lemma zenon_L216_ *) % 0.96/1.13 assert (zenon_L217_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_H144 zenon_H123 zenon_H121 zenon_H11b zenon_H11d zenon_H116 zenon_Hf1 zenon_H47 zenon_H106 zenon_H10b zenon_H145 zenon_Ha4 zenon_H83 zenon_H198 zenon_H3 zenon_Hc1 zenon_H196 zenon_H70 zenon_H90 zenon_H19e zenon_Hbd zenon_Hc0 zenon_Hc3 zenon_He5 zenon_H4b zenon_He3 zenon_He8 zenon_H143 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H11 zenon_H13 zenon_Hd zenon_H192 zenon_H184 zenon_H174 zenon_H158 zenon_H166 zenon_H173 zenon_H195 zenon_H61. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 0.96/1.13 apply (zenon_L104_); trivial. % 0.96/1.13 (* end of lemma zenon_L217_ *) % 0.96/1.13 assert (zenon_L218_ : ((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H23f zenon_H209 zenon_H10b zenon_H1da zenon_H1d6 zenon_H1d8 zenon_Hf1 zenon_H61 zenon_H5b zenon_H57 zenon_H47 zenon_H4b zenon_H5c zenon_Hd zenon_H13 zenon_H2b zenon_H2e zenon_H33 zenon_H36 zenon_He5 zenon_He3 zenon_He8 zenon_H1a0. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.96/1.13 apply (zenon_L158_); trivial. % 0.96/1.13 (* end of lemma zenon_L218_ *) % 0.96/1.13 assert (zenon_L219_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H252 zenon_H23e zenon_H23c zenon_H61 zenon_H121 zenon_He3 zenon_H11b zenon_H11d zenon_He5 zenon_H145 zenon_Hd zenon_H33 zenon_H2e zenon_H2b zenon_H216 zenon_H218 zenon_H4b zenon_H228 zenon_H1d6 zenon_Hc3 zenon_H116 zenon_H143 zenon_H22a zenon_H36 zenon_He8 zenon_H22e zenon_H1fa zenon_H1a0. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 0.96/1.13 apply (zenon_L183_); trivial. % 0.96/1.13 (* end of lemma zenon_L219_ *) % 0.96/1.13 assert (zenon_L220_ : ((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H255 zenon_H250 zenon_H216 zenon_H218 zenon_H228 zenon_H116 zenon_H22a zenon_H22e zenon_H1fa zenon_H209 zenon_H7 zenon_H1fc zenon_H1c3 zenon_Ha4 zenon_H1c4 zenon_H144 zenon_Hf1 zenon_Hc3 zenon_H1d8 zenon_H1da zenon_H10b zenon_H143 zenon_H146 zenon_H1a0 zenon_H83 zenon_H7f zenon_H70 zenon_H90 zenon_Hb2 zenon_Hb4 zenon_Hbd zenon_Hc0 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H13 zenon_Hd zenon_Hb7 zenon_H4b zenon_H5c zenon_H5b zenon_H61 zenon_H195 zenon_H173 zenon_H166 zenon_H158 zenon_H174 zenon_H184 zenon_H192 zenon_H196 zenon_H3 zenon_H198 zenon_H24b zenon_H1d6 zenon_H251 zenon_He8 zenon_H23e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 0.96/1.13 apply (zenon_L216_); trivial. % 0.96/1.13 (* end of lemma zenon_L220_ *) % 0.96/1.13 assert (zenon_L221_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(hskp22)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H19e zenon_Ha2 zenon_H164 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H11 zenon_H7c zenon_H7f zenon_H83. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.13 apply (zenon_L34_); trivial. % 0.96/1.13 apply (zenon_L101_); trivial. % 0.96/1.13 (* end of lemma zenon_L221_ *) % 0.96/1.13 assert (zenon_L222_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> (c1_1 (a514)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a514))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H22e zenon_H17c zenon_H17b zenon_H17a zenon_H64 zenon_Hda zenon_H63 zenon_H16 zenon_H9. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H20a | zenon_intro zenon_H22f ]. % 0.96/1.13 generalize (zenon_H20a (a540)). zenon_intro zenon_H258. % 0.96/1.13 apply (zenon_imply_s _ _ zenon_H258); [ zenon_intro zenon_H15 | zenon_intro zenon_H259 ]. % 0.96/1.13 exact (zenon_H15 zenon_H16). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H180 | zenon_intro zenon_H25a ]. % 0.96/1.13 exact (zenon_H17a zenon_H180). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H25b | zenon_intro zenon_H181 ]. % 0.96/1.13 generalize (zenon_Hda (a540)). zenon_intro zenon_H25c. % 0.96/1.13 apply (zenon_imply_s _ _ zenon_H25c); [ zenon_intro zenon_H15 | zenon_intro zenon_H25d ]. % 0.96/1.13 exact (zenon_H15 zenon_H16). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H180 | zenon_intro zenon_H25e ]. % 0.96/1.13 exact (zenon_H17a zenon_H180). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H25f | zenon_intro zenon_H182 ]. % 0.96/1.13 exact (zenon_H25b zenon_H25f). % 0.96/1.13 exact (zenon_H182 zenon_H17b). % 0.96/1.13 exact (zenon_H181 zenon_H17c). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Ha ]. % 0.96/1.13 apply (zenon_L49_); trivial. % 0.96/1.13 exact (zenon_H9 zenon_Ha). % 0.96/1.13 (* end of lemma zenon_L222_ *) % 0.96/1.13 assert (zenon_L223_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a501))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21)))))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H92 zenon_H16 zenon_H260 zenon_Ha6 zenon_H261 zenon_H262. % 0.96/1.13 generalize (zenon_H92 (a501)). zenon_intro zenon_H263. % 0.96/1.13 apply (zenon_imply_s _ _ zenon_H263); [ zenon_intro zenon_H15 | zenon_intro zenon_H264 ]. % 0.96/1.13 exact (zenon_H15 zenon_H16). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H266 | zenon_intro zenon_H265 ]. % 0.96/1.13 exact (zenon_H260 zenon_H266). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H268 | zenon_intro zenon_H267 ]. % 0.96/1.13 generalize (zenon_Ha6 (a501)). zenon_intro zenon_H269. % 0.96/1.13 apply (zenon_imply_s _ _ zenon_H269); [ zenon_intro zenon_H15 | zenon_intro zenon_H26a ]. % 0.96/1.13 exact (zenon_H15 zenon_H16). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H26c | zenon_intro zenon_H26b ]. % 0.96/1.13 exact (zenon_H268 zenon_H26c). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H26d | zenon_intro zenon_H267 ]. % 0.96/1.13 exact (zenon_H26d zenon_H261). % 0.96/1.13 exact (zenon_H267 zenon_H262). % 0.96/1.13 exact (zenon_H267 zenon_H262). % 0.96/1.13 (* end of lemma zenon_L223_ *) % 0.96/1.13 assert (zenon_L224_ : ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21)))))) -> (~(c3_1 (a501))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.96/1.13 do 0 intro. intros zenon_Ha4 zenon_H65 zenon_H64 zenon_H63 zenon_H262 zenon_H261 zenon_Ha6 zenon_H260 zenon_H16 zenon_Ha2. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha5 ]. % 0.96/1.13 apply (zenon_L27_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha3 ]. % 0.96/1.13 apply (zenon_L223_); trivial. % 0.96/1.13 exact (zenon_Ha2 zenon_Ha3). % 0.96/1.13 (* end of lemma zenon_L224_ *) % 0.96/1.13 assert (zenon_L225_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp17)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H183 zenon_H1fa zenon_H9 zenon_H22e zenon_Ha2 zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H63 zenon_H64 zenon_H65. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 0.96/1.13 apply (zenon_L222_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 0.96/1.13 apply (zenon_L224_); trivial. % 0.96/1.13 apply (zenon_L27_); trivial. % 0.96/1.13 (* end of lemma zenon_L225_ *) % 0.96/1.13 assert (zenon_L226_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(hskp17)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H192 zenon_H1fa zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H9 zenon_H22e zenon_H83 zenon_H7f zenon_H7c zenon_H11 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H90 zenon_H1 zenon_Ha2 zenon_H19e zenon_Hbd zenon_Hc0. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.96/1.13 apply (zenon_L221_); trivial. % 0.96/1.13 apply (zenon_L225_); trivial. % 0.96/1.13 (* end of lemma zenon_L226_ *) % 0.96/1.13 assert (zenon_L227_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp17)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H1fa zenon_H4b zenon_He3 zenon_He5 zenon_Ha2 zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H16 zenon_H63 zenon_H64 zenon_H65. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 0.96/1.13 apply (zenon_L51_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 0.96/1.13 apply (zenon_L224_); trivial. % 0.96/1.13 apply (zenon_L27_); trivial. % 0.96/1.13 (* end of lemma zenon_L227_ *) % 0.96/1.13 assert (zenon_L228_ : ((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H124 zenon_H33 zenon_H2e zenon_H2b zenon_H1a zenon_H19 zenon_H18 zenon_Hc3 zenon_Hc1 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_H116. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H16. zenon_intro zenon_H125. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H10e. zenon_intro zenon_H126. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10f. zenon_intro zenon_H10d. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.96/1.13 apply (zenon_L64_); trivial. % 0.96/1.13 apply (zenon_L15_); trivial. % 0.96/1.13 (* end of lemma zenon_L228_ *) % 0.96/1.13 assert (zenon_L229_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_He7 zenon_H144 zenon_He8 zenon_H65 zenon_H64 zenon_H63 zenon_H10b zenon_He5 zenon_H4b zenon_He3 zenon_H106 zenon_Hc3 zenon_Hc1 zenon_H47 zenon_Hf1 zenon_H116 zenon_H18 zenon_H19 zenon_H1a zenon_H2b zenon_H2e zenon_H33 zenon_H123. % 0.96/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 0.96/1.13 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H102 | zenon_intro zenon_H124 ]. % 0.96/1.13 apply (zenon_L62_); trivial. % 0.96/1.13 apply (zenon_L228_); trivial. % 0.96/1.13 apply (zenon_L76_); trivial. % 0.96/1.13 (* end of lemma zenon_L229_ *) % 0.96/1.13 assert (zenon_L230_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (c3_1 (a514)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H32 zenon_H143 zenon_H144 zenon_He8 zenon_H10b zenon_H106 zenon_Hc3 zenon_Hc1 zenon_H47 zenon_Hf1 zenon_H116 zenon_H2b zenon_H2e zenon_H33 zenon_H123 zenon_He5 zenon_H4b zenon_He3 zenon_H64 zenon_H63 zenon_Ha4 zenon_H262 zenon_H261 zenon_H260 zenon_H65 zenon_H1fa. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.13 apply (zenon_L227_); trivial. % 0.96/1.13 apply (zenon_L229_); trivial. % 0.96/1.13 (* end of lemma zenon_L230_ *) % 0.96/1.13 assert (zenon_L231_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H1a0 zenon_H121 zenon_H11b zenon_H11d zenon_H145 zenon_H143 zenon_He8 zenon_He3 zenon_He5 zenon_Hc1 zenon_Hc3 zenon_Hc0 zenon_Hbd zenon_H19e zenon_H90 zenon_H70 zenon_H7c zenon_H7f zenon_H83 zenon_H22e zenon_Ha4 zenon_H262 zenon_H261 zenon_H260 zenon_H1fa zenon_H192 zenon_H123 zenon_H116 zenon_Hf1 zenon_H106 zenon_H10b zenon_H144 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H11 zenon_H13 zenon_Hd zenon_H5c zenon_H4b zenon_H47 zenon_H57 zenon_H5b zenon_H61. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.13 apply (zenon_L26_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.13 apply (zenon_L226_); trivial. % 0.96/1.13 apply (zenon_L52_); trivial. % 0.96/1.13 apply (zenon_L230_); trivial. % 0.96/1.13 apply (zenon_L77_); trivial. % 0.96/1.13 (* end of lemma zenon_L231_ *) % 0.96/1.13 assert (zenon_L232_ : (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H153 zenon_H16 zenon_H260 zenon_H261 zenon_H262. % 0.96/1.13 generalize (zenon_H153 (a501)). zenon_intro zenon_H26e. % 0.96/1.13 apply (zenon_imply_s _ _ zenon_H26e); [ zenon_intro zenon_H15 | zenon_intro zenon_H26f ]. % 0.96/1.13 exact (zenon_H15 zenon_H16). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H266 | zenon_intro zenon_H26b ]. % 0.96/1.13 exact (zenon_H260 zenon_H266). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H26d | zenon_intro zenon_H267 ]. % 0.96/1.13 exact (zenon_H26d zenon_H261). % 0.96/1.13 exact (zenon_H267 zenon_H262). % 0.96/1.13 (* end of lemma zenon_L232_ *) % 0.96/1.13 assert (zenon_L233_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H174 zenon_H14c zenon_H14b zenon_H14a zenon_H262 zenon_H261 zenon_H260 zenon_H16 zenon_H168. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H176 ]. % 0.96/1.13 apply (zenon_L79_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H153 | zenon_intro zenon_H169 ]. % 0.96/1.13 apply (zenon_L232_); trivial. % 0.96/1.13 exact (zenon_H168 zenon_H169). % 0.96/1.13 (* end of lemma zenon_L233_ *) % 0.96/1.13 assert (zenon_L234_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H24d zenon_H195 zenon_H5b zenon_H24b zenon_H1d6 zenon_H4b zenon_H5c zenon_H260 zenon_H261 zenon_H262 zenon_H174. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 0.96/1.13 apply (zenon_L233_); trivial. % 0.96/1.13 apply (zenon_L197_); trivial. % 0.96/1.13 (* end of lemma zenon_L234_ *) % 0.96/1.13 assert (zenon_L235_ : ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33)))))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21)))))) -> (~(c3_1 (a501))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.96/1.13 do 0 intro. intros zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_Hc9 zenon_H262 zenon_H261 zenon_Ha6 zenon_H260 zenon_H16 zenon_Ha2. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha5 ]. % 0.96/1.13 apply (zenon_L113_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha3 ]. % 0.96/1.13 apply (zenon_L223_); trivial. % 0.96/1.13 exact (zenon_Ha2 zenon_Ha3). % 0.96/1.13 (* end of lemma zenon_L235_ *) % 0.96/1.13 assert (zenon_L236_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp17)) -> (~(c3_1 (a501))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21)))))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H1c4 zenon_Ha2 zenon_H260 zenon_Ha6 zenon_H261 zenon_H262 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H1a zenon_H19 zenon_H18 zenon_H16 zenon_Hc1. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c6 ]. % 0.96/1.13 apply (zenon_L235_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H17 | zenon_intro zenon_Hc2 ]. % 0.96/1.13 apply (zenon_L12_); trivial. % 0.96/1.13 exact (zenon_Hc1 zenon_Hc2). % 0.96/1.13 (* end of lemma zenon_L236_ *) % 0.96/1.13 assert (zenon_L237_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp2)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H130 zenon_H1da zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H2b. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1db ]. % 0.96/1.13 apply (zenon_L71_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H15b | zenon_intro zenon_H2c ]. % 0.96/1.13 apply (zenon_L105_); trivial. % 0.96/1.13 exact (zenon_H2b zenon_H2c). % 0.96/1.13 (* end of lemma zenon_L237_ *) % 0.96/1.13 assert (zenon_L238_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp1)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H191 zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_Hb2. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 0.96/1.13 apply (zenon_L184_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 0.96/1.13 apply (zenon_L91_); trivial. % 0.96/1.13 exact (zenon_Hb2 zenon_Hb3). % 0.96/1.13 (* end of lemma zenon_L238_ *) % 0.96/1.13 assert (zenon_L239_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H24d zenon_H195 zenon_H270 zenon_Hb2 zenon_H244 zenon_H243 zenon_H242 zenon_H260 zenon_H261 zenon_H262 zenon_H174. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 0.96/1.13 apply (zenon_L233_); trivial. % 0.96/1.13 apply (zenon_L238_); trivial. % 0.96/1.13 (* end of lemma zenon_L239_ *) % 0.96/1.13 assert (zenon_L240_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H251 zenon_H195 zenon_H270 zenon_H260 zenon_H261 zenon_H262 zenon_H174 zenon_H61 zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_H5c zenon_H4b zenon_Hb7 zenon_Hd zenon_H13 zenon_H11 zenon_H2b zenon_H2e zenon_H33 zenon_H36 zenon_Hc0 zenon_Hbd zenon_Hb4 zenon_Hb2 zenon_H90 zenon_H70 zenon_H7f zenon_H83 zenon_H1a0. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 0.96/1.13 apply (zenon_L192_); trivial. % 0.96/1.13 apply (zenon_L239_); trivial. % 0.96/1.13 (* end of lemma zenon_L240_ *) % 0.96/1.13 assert (zenon_L241_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> (~(hskp9)) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp17)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp31)) -> (~(hskp30)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H272 zenon_Hc1 zenon_H16 zenon_H18 zenon_H19 zenon_H1a zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H262 zenon_H261 zenon_H260 zenon_Ha2 zenon_H1c4 zenon_H49 zenon_H8e. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H273 ]. % 0.96/1.13 apply (zenon_L236_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H4a | zenon_intro zenon_H8f ]. % 0.96/1.13 exact (zenon_H49 zenon_H4a). % 0.96/1.13 exact (zenon_H8e zenon_H8f). % 0.96/1.13 (* end of lemma zenon_L241_ *) % 0.96/1.13 assert (zenon_L242_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H10c zenon_H16 zenon_H62 zenon_H1a4 zenon_H1a6 zenon_H1a5. % 0.96/1.13 generalize (zenon_H10c (a509)). zenon_intro zenon_H274. % 0.96/1.13 apply (zenon_imply_s _ _ zenon_H274); [ zenon_intro zenon_H15 | zenon_intro zenon_H275 ]. % 0.96/1.13 exact (zenon_H15 zenon_H16). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1a9 ]. % 0.96/1.13 apply (zenon_L112_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ab ]. % 0.96/1.13 exact (zenon_H1ac zenon_H1a5). % 0.96/1.13 exact (zenon_H1ab zenon_H1a6). % 0.96/1.13 (* end of lemma zenon_L242_ *) % 0.96/1.13 assert (zenon_L243_ : ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (~(hskp25)) -> (~(hskp26)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H70 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H16 zenon_H10c zenon_H6c zenon_H6e. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H62 | zenon_intro zenon_H71 ]. % 0.96/1.13 apply (zenon_L242_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H6d | zenon_intro zenon_H6f ]. % 0.96/1.13 exact (zenon_H6c zenon_H6d). % 0.96/1.13 exact (zenon_H6e zenon_H6f). % 0.96/1.13 (* end of lemma zenon_L243_ *) % 0.96/1.13 assert (zenon_L244_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(hskp9)) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp26)) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp28)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H116 zenon_Hc1 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc3 zenon_H6e zenon_H6c zenon_H16 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_Hf. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H117 ]. % 0.96/1.13 apply (zenon_L48_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10c | zenon_intro zenon_H10 ]. % 0.96/1.13 apply (zenon_L243_); trivial. % 0.96/1.13 exact (zenon_Hf zenon_H10). % 0.96/1.13 (* end of lemma zenon_L244_ *) % 0.96/1.13 assert (zenon_L245_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> (ndr1_0) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp26)) -> (~(hskp25)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H33 zenon_H2e zenon_H2b zenon_H1a zenon_H19 zenon_H18 zenon_Hc3 zenon_Hc1 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_H16 zenon_H70 zenon_H6e zenon_H6c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.96/1.13 apply (zenon_L244_); trivial. % 0.96/1.13 apply (zenon_L15_); trivial. % 0.96/1.13 (* end of lemma zenon_L245_ *) % 0.96/1.13 assert (zenon_L246_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H7e zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H260 zenon_H261 zenon_H262. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 0.96/1.13 apply (zenon_L184_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 0.96/1.13 apply (zenon_L31_); trivial. % 0.96/1.13 apply (zenon_L232_); trivial. % 0.96/1.13 (* end of lemma zenon_L246_ *) % 0.96/1.13 assert (zenon_L247_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H83 zenon_H276 zenon_H262 zenon_H261 zenon_H260 zenon_H244 zenon_H243 zenon_H242 zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H6c zenon_H70 zenon_H16 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc1 zenon_Hc3 zenon_H18 zenon_H19 zenon_H1a zenon_H2b zenon_H2e zenon_H33. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.96/1.13 apply (zenon_L245_); trivial. % 0.96/1.13 apply (zenon_L246_); trivial. % 0.96/1.13 (* end of lemma zenon_L247_ *) % 0.96/1.13 assert (zenon_L248_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_He7 zenon_Hc0 zenon_Hbd zenon_H5b zenon_Hb4 zenon_Hb2 zenon_Hb7 zenon_H1 zenon_H90 zenon_H33 zenon_H2e zenon_H2b zenon_H1a zenon_H19 zenon_H18 zenon_Hc3 zenon_Hc1 zenon_H70 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116 zenon_H242 zenon_H243 zenon_H244 zenon_H260 zenon_H261 zenon_H262 zenon_H276 zenon_H83. % 0.96/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 0.96/1.13 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.13 apply (zenon_L247_); trivial. % 0.96/1.13 apply (zenon_L189_); trivial. % 0.96/1.13 (* end of lemma zenon_L248_ *) % 0.96/1.13 assert (zenon_L249_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H83 zenon_H276 zenon_H262 zenon_H261 zenon_H260 zenon_H244 zenon_H243 zenon_H242 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.96/1.13 apply (zenon_L30_); trivial. % 0.96/1.13 apply (zenon_L246_); trivial. % 0.96/1.13 (* end of lemma zenon_L249_ *) % 0.96/1.13 assert (zenon_L250_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H5c zenon_H4b zenon_H83 zenon_H276 zenon_H262 zenon_H261 zenon_H260 zenon_H244 zenon_H243 zenon_H242 zenon_H70 zenon_H90 zenon_Hb7 zenon_H2b zenon_Hb2 zenon_Hb4 zenon_H5b zenon_Hbd zenon_Hc0. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.13 apply (zenon_L249_); trivial. % 0.96/1.13 apply (zenon_L189_); trivial. % 0.96/1.13 apply (zenon_L186_); trivial. % 0.96/1.13 (* end of lemma zenon_L250_ *) % 0.96/1.13 assert (zenon_L251_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(hskp26)) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp28)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H116 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H6e zenon_H6c zenon_H16 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_Hf. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H117 ]. % 0.96/1.13 apply (zenon_L150_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10c | zenon_intro zenon_H10 ]. % 0.96/1.13 apply (zenon_L243_); trivial. % 0.96/1.13 exact (zenon_Hf zenon_H10). % 0.96/1.13 (* end of lemma zenon_L251_ *) % 0.96/1.13 assert (zenon_L252_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (ndr1_0) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp26)) -> (~(hskp25)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H33 zenon_H2e zenon_H2b zenon_H1a zenon_H19 zenon_H18 zenon_H16 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H70 zenon_H6e zenon_H6c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.96/1.13 apply (zenon_L251_); trivial. % 0.96/1.13 apply (zenon_L15_); trivial. % 0.96/1.13 (* end of lemma zenon_L252_ *) % 0.96/1.13 assert (zenon_L253_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H83 zenon_H276 zenon_H262 zenon_H261 zenon_H260 zenon_H244 zenon_H243 zenon_H242 zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H6c zenon_H70 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H16 zenon_H18 zenon_H19 zenon_H1a zenon_H2b zenon_H2e zenon_H33. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.96/1.13 apply (zenon_L252_); trivial. % 0.96/1.13 apply (zenon_L246_); trivial. % 0.96/1.13 (* end of lemma zenon_L253_ *) % 0.96/1.13 assert (zenon_L254_ : ((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H255 zenon_H250 zenon_H24b zenon_H216 zenon_H218 zenon_H228 zenon_H1d6 zenon_H22a zenon_H209 zenon_H143 zenon_Hc3 zenon_H116 zenon_H276 zenon_H1c4 zenon_Ha4 zenon_H272 zenon_H57 zenon_H1a0 zenon_H83 zenon_H7f zenon_H70 zenon_H90 zenon_Hb2 zenon_Hb4 zenon_Hbd zenon_Hc0 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H13 zenon_Hd zenon_Hb7 zenon_H4b zenon_H5c zenon_H5b zenon_H61 zenon_H174 zenon_H262 zenon_H261 zenon_H260 zenon_H270 zenon_H195 zenon_H251 zenon_H1da zenon_He8 zenon_H23e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.96/1.13 apply (zenon_L240_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.13 apply (zenon_L7_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.96/1.13 apply (zenon_L241_); trivial. % 0.96/1.13 apply (zenon_L185_); trivial. % 0.96/1.13 apply (zenon_L188_); trivial. % 0.96/1.13 apply (zenon_L248_); trivial. % 0.96/1.13 apply (zenon_L25_); trivial. % 0.96/1.13 apply (zenon_L250_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.96/1.13 apply (zenon_L240_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.13 apply (zenon_L7_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.13 apply (zenon_L253_); trivial. % 0.96/1.13 apply (zenon_L189_); trivial. % 0.96/1.13 apply (zenon_L25_); trivial. % 0.96/1.13 apply (zenon_L156_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.13 apply (zenon_L211_); trivial. % 0.96/1.13 apply (zenon_L250_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 0.96/1.13 apply (zenon_L214_); trivial. % 0.96/1.13 apply (zenon_L234_); trivial. % 0.96/1.13 apply (zenon_L215_); trivial. % 0.96/1.13 (* end of lemma zenon_L254_ *) % 0.96/1.13 assert (zenon_L255_ : ((~(hskp6))\/((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp28))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H278 zenon_H276 zenon_H272 zenon_H270 zenon_H250 zenon_H23c zenon_H216 zenon_H218 zenon_H228 zenon_H22a zenon_H22e zenon_H209 zenon_H1fa zenon_H1dc zenon_H1f8 zenon_H1f1 zenon_H1e2 zenon_H1da zenon_H1d6 zenon_H1d8 zenon_H1c9 zenon_H1c7 zenon_H1c3 zenon_H1c4 zenon_H1fc zenon_H1a0 zenon_H144 zenon_H123 zenon_H121 zenon_H11d zenon_H116 zenon_Hf1 zenon_H106 zenon_H10b zenon_H145 zenon_H7 zenon_Hc0 zenon_Hbd zenon_Ha4 zenon_Hb4 zenon_Hb2 zenon_Hb7 zenon_H90 zenon_H70 zenon_H7f zenon_H83 zenon_Hc3 zenon_He5 zenon_He3 zenon_He8 zenon_H143 zenon_H146 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H13 zenon_Hd zenon_H5c zenon_H4b zenon_H57 zenon_H5b zenon_H61 zenon_H195 zenon_H173 zenon_H166 zenon_H158 zenon_H174 zenon_H184 zenon_H192 zenon_H19e zenon_H196 zenon_H198 zenon_H251 zenon_H23e zenon_H24b zenon_H279. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.13 apply (zenon_L26_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.13 apply (zenon_L78_); trivial. % 0.96/1.13 apply (zenon_L217_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 0.96/1.13 apply (zenon_L149_); trivial. % 0.96/1.13 apply (zenon_L218_); trivial. % 0.96/1.13 apply (zenon_L219_); trivial. % 0.96/1.13 apply (zenon_L220_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 0.96/1.13 apply (zenon_L231_); trivial. % 0.96/1.13 apply (zenon_L234_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.13 apply (zenon_L7_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ]. % 0.96/1.13 apply (zenon_L236_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb3 ]. % 0.96/1.13 exact (zenon_H49 zenon_H4a). % 0.96/1.13 exact (zenon_Hb2 zenon_Hb3). % 0.96/1.13 apply (zenon_L23_); trivial. % 0.96/1.13 apply (zenon_L129_); trivial. % 0.96/1.13 apply (zenon_L25_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.13 apply (zenon_L227_); trivial. % 0.96/1.13 apply (zenon_L129_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.13 apply (zenon_L54_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 0.96/1.13 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 0.96/1.13 apply (zenon_L70_); trivial. % 0.96/1.13 apply (zenon_L237_); trivial. % 0.96/1.13 apply (zenon_L76_); trivial. % 0.96/1.13 apply (zenon_L218_); trivial. % 0.96/1.13 apply (zenon_L219_); trivial. % 0.96/1.13 apply (zenon_L254_); trivial. % 0.96/1.13 (* end of lemma zenon_L255_ *) % 0.96/1.13 assert (zenon_L256_ : (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))) -> (ndr1_0) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H238 zenon_H16 zenon_H27d zenon_H27e zenon_H27f. % 0.96/1.13 generalize (zenon_H238 (a499)). zenon_intro zenon_H280. % 0.96/1.13 apply (zenon_imply_s _ _ zenon_H280); [ zenon_intro zenon_H15 | zenon_intro zenon_H281 ]. % 0.96/1.13 exact (zenon_H15 zenon_H16). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H283 | zenon_intro zenon_H282 ]. % 0.96/1.13 exact (zenon_H27d zenon_H283). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H285 | zenon_intro zenon_H284 ]. % 0.96/1.13 exact (zenon_H285 zenon_H27e). % 0.96/1.13 exact (zenon_H284 zenon_H27f). % 0.96/1.13 (* end of lemma zenon_L256_ *) % 0.96/1.13 assert (zenon_L257_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp7)) -> False). % 0.96/1.13 do 0 intro. intros zenon_He7 zenon_H23c zenon_Hc1 zenon_Hc3 zenon_H27f zenon_H27e zenon_H27d zenon_H11b. % 0.96/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 0.96/1.13 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 0.96/1.13 apply (zenon_L48_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 0.96/1.13 apply (zenon_L256_); trivial. % 0.96/1.13 exact (zenon_H11b zenon_H11c). % 0.96/1.13 (* end of lemma zenon_L257_ *) % 0.96/1.13 assert (zenon_L258_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H5e zenon_H143 zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_Hc1 zenon_Hc3 zenon_H63 zenon_H64 zenon_H65 zenon_Ha4. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.13 apply (zenon_L54_); trivial. % 0.96/1.13 apply (zenon_L257_); trivial. % 0.96/1.13 (* end of lemma zenon_L258_ *) % 0.96/1.13 assert (zenon_L259_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H7 zenon_H3 zenon_Hc0 zenon_Hbd zenon_H5b zenon_Ha4 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H90 zenon_H70 zenon_H11 zenon_H7c zenon_H7f zenon_H83 zenon_Hc3 zenon_Hc1 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c zenon_H143 zenon_H146. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 0.96/1.13 apply (zenon_L4_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.13 apply (zenon_L46_); trivial. % 0.96/1.13 apply (zenon_L257_); trivial. % 0.96/1.13 apply (zenon_L258_); trivial. % 0.96/1.13 (* end of lemma zenon_L259_ *) % 0.96/1.13 assert (zenon_L260_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H5b zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H95 zenon_H93 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H196 zenon_Hc1 zenon_H14c zenon_H14b zenon_H14a zenon_H3 zenon_H198 zenon_H83. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.13 apply (zenon_L98_); trivial. % 0.96/1.13 apply (zenon_L45_); trivial. % 0.96/1.13 (* end of lemma zenon_L260_ *) % 0.96/1.13 assert (zenon_L261_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H7 zenon_H3 zenon_Hc0 zenon_Hbd zenon_H5b zenon_Ha4 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H90 zenon_H70 zenon_H196 zenon_Hc1 zenon_H14c zenon_H14b zenon_H14a zenon_H198 zenon_H83 zenon_Hc3 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c zenon_H143 zenon_H146. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 0.96/1.13 apply (zenon_L4_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.13 apply (zenon_L260_); trivial. % 0.96/1.13 apply (zenon_L257_); trivial. % 0.96/1.13 apply (zenon_L258_); trivial. % 0.96/1.13 (* end of lemma zenon_L261_ *) % 0.96/1.13 assert (zenon_L262_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H92 zenon_H16 zenon_H10c zenon_H27d zenon_H27e zenon_H27f. % 0.96/1.13 generalize (zenon_H92 (a499)). zenon_intro zenon_H286. % 0.96/1.13 apply (zenon_imply_s _ _ zenon_H286); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 0.96/1.13 exact (zenon_H15 zenon_H16). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H288 | zenon_intro zenon_H282 ]. % 0.96/1.13 generalize (zenon_H10c (a499)). zenon_intro zenon_H289. % 0.96/1.13 apply (zenon_imply_s _ _ zenon_H289); [ zenon_intro zenon_H15 | zenon_intro zenon_H28a ]. % 0.96/1.13 exact (zenon_H15 zenon_H16). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H283 | zenon_intro zenon_H28b ]. % 0.96/1.13 exact (zenon_H27d zenon_H283). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H285 | zenon_intro zenon_H28c ]. % 0.96/1.13 exact (zenon_H285 zenon_H27e). % 0.96/1.13 exact (zenon_H28c zenon_H288). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H285 | zenon_intro zenon_H284 ]. % 0.96/1.13 exact (zenon_H285 zenon_H27e). % 0.96/1.13 exact (zenon_H284 zenon_H27f). % 0.96/1.13 (* end of lemma zenon_L262_ *) % 0.96/1.13 assert (zenon_L263_ : ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.96/1.13 do 0 intro. intros zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H27f zenon_H27e zenon_H27d zenon_H10c zenon_H16 zenon_Ha2. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha5 ]. % 0.96/1.13 apply (zenon_L242_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha3 ]. % 0.96/1.13 apply (zenon_L262_); trivial. % 0.96/1.14 exact (zenon_Ha2 zenon_Ha3). % 0.96/1.14 (* end of lemma zenon_L263_ *) % 0.96/1.14 assert (zenon_L264_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp17)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H183 zenon_H28d zenon_Ha2 zenon_H27d zenon_H27e zenon_H27f zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H18 zenon_H19 zenon_H1a. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H179 | zenon_intro zenon_H28e ]. % 0.96/1.14 apply (zenon_L89_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H10c | zenon_intro zenon_H17 ]. % 0.96/1.14 apply (zenon_L263_); trivial. % 0.96/1.14 apply (zenon_L12_); trivial. % 0.96/1.14 (* end of lemma zenon_L264_ *) % 0.96/1.14 assert (zenon_L265_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp22)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (ndr1_0) -> (~(c3_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hbd zenon_H19e zenon_H164 zenon_H90 zenon_H1 zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H93 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H16 zenon_H142 zenon_H134 zenon_H135 zenon_Hc1 zenon_H1c4 zenon_H196. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.14 apply (zenon_L203_); trivial. % 0.96/1.14 apply (zenon_L100_); trivial. % 0.96/1.14 (* end of lemma zenon_L265_ *) % 0.96/1.14 assert (zenon_L266_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H13f zenon_H192 zenon_H28d zenon_H1a zenon_H19 zenon_H18 zenon_H27d zenon_H27e zenon_H27f zenon_H196 zenon_H1c4 zenon_Hc1 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H93 zenon_H96 zenon_Ha2 zenon_Ha4 zenon_H1 zenon_H90 zenon_H19e zenon_Hbd. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.96/1.14 apply (zenon_L265_); trivial. % 0.96/1.14 apply (zenon_L264_); trivial. % 0.96/1.14 (* end of lemma zenon_L266_ *) % 0.96/1.14 assert (zenon_L267_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> (~(hskp3)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H61 zenon_H4b zenon_H5c zenon_H7 zenon_H3 zenon_Hd zenon_Hb zenon_H1fc zenon_H57 zenon_H47 zenon_H192 zenon_H28d zenon_H27d zenon_H27e zenon_H27f zenon_Hbd zenon_H5b zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H158 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H90 zenon_H1c4 zenon_Hc1 zenon_Ha4 zenon_H1c3 zenon_H19e zenon_H173 zenon_H196 zenon_H144 zenon_Hf1 zenon_Hc3 zenon_H1d8 zenon_H1d6 zenon_H1da zenon_H10b zenon_H143 zenon_H36 zenon_H146. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 0.96/1.14 apply (zenon_L4_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.14 apply (zenon_L7_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 0.96/1.14 apply (zenon_L111_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.14 apply (zenon_L119_); trivial. % 0.96/1.14 apply (zenon_L100_); trivial. % 0.96/1.14 apply (zenon_L264_); trivial. % 0.96/1.14 apply (zenon_L266_); trivial. % 0.96/1.14 apply (zenon_L125_); trivial. % 0.96/1.14 apply (zenon_L129_); trivial. % 0.96/1.14 apply (zenon_L25_); trivial. % 0.96/1.14 (* end of lemma zenon_L267_ *) % 0.96/1.14 assert (zenon_L268_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a559))) -> (~(c2_1 (a559))) -> (~(c0_1 (a559))) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (c1_1 (a512)) -> (c2_1 (a512)) -> (c3_1 (a512)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H28f zenon_H75 zenon_H74 zenon_H73 zenon_H38 zenon_H16 zenon_Ha7 zenon_Ha8 zenon_Hba. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 0.96/1.14 apply (zenon_L31_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 0.96/1.14 apply (zenon_L41_); trivial. % 0.96/1.14 apply (zenon_L99_); trivial. % 0.96/1.14 (* end of lemma zenon_L268_ *) % 0.96/1.14 assert (zenon_L269_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a527))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H7e zenon_Hbd zenon_Hb7 zenon_H2b zenon_H28f zenon_H95 zenon_H158 zenon_H156 zenon_H96 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H1 zenon_H90. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.14 apply (zenon_L107_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 0.96/1.14 apply (zenon_L108_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 0.96/1.14 apply (zenon_L268_); trivial. % 0.96/1.14 exact (zenon_H2b zenon_H2c). % 0.96/1.14 (* end of lemma zenon_L269_ *) % 0.96/1.14 assert (zenon_L270_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a527))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H83 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H28f zenon_H95 zenon_H158 zenon_H156 zenon_H96 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H1 zenon_H90 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.96/1.14 apply (zenon_L30_); trivial. % 0.96/1.14 apply (zenon_L269_); trivial. % 0.96/1.14 (* end of lemma zenon_L270_ *) % 0.96/1.14 assert (zenon_L271_ : ((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp18)) -> (~(hskp19)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp22)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H175 zenon_Hc0 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H1dc zenon_H1c1 zenon_H104 zenon_H1c3 zenon_H90 zenon_H1 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H93 zenon_H96 zenon_Ha2 zenon_Ha4 zenon_Hc1 zenon_H196 zenon_H164 zenon_H19e zenon_Hbd zenon_H83. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.96/1.14 apply (zenon_L30_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.14 apply (zenon_L133_); trivial. % 0.96/1.14 apply (zenon_L100_); trivial. % 0.96/1.14 apply (zenon_L101_); trivial. % 0.96/1.14 (* end of lemma zenon_L271_ *) % 0.96/1.14 assert (zenon_L272_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp18)) -> (~(hskp19)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a527))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp22)) -> (~(hskp17)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H173 zenon_H1dc zenon_H1c1 zenon_H104 zenon_H1c3 zenon_Ha4 zenon_Hc1 zenon_H196 zenon_H83 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H28f zenon_H95 zenon_H158 zenon_H96 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H1 zenon_H90 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H164 zenon_Ha2 zenon_H19e zenon_Hc0. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.14 apply (zenon_L270_); trivial. % 0.96/1.14 apply (zenon_L101_); trivial. % 0.96/1.14 apply (zenon_L271_); trivial. % 0.96/1.14 (* end of lemma zenon_L272_ *) % 0.96/1.14 assert (zenon_L273_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hbc zenon_Hbd zenon_H5b zenon_H158 zenon_H156 zenon_H96 zenon_H95 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H1 zenon_H90. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.14 apply (zenon_L37_); trivial. % 0.96/1.14 apply (zenon_L110_); trivial. % 0.96/1.14 (* end of lemma zenon_L273_ *) % 0.96/1.14 assert (zenon_L274_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> (~(hskp24)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(c1_1 (a527))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hc0 zenon_H5b zenon_Hb4 zenon_Hb2 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H90 zenon_H1 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H93 zenon_H96 zenon_H156 zenon_H158 zenon_H95 zenon_H28f zenon_H2b zenon_Hb7 zenon_Hbd zenon_H83. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.14 apply (zenon_L270_); trivial. % 0.96/1.14 apply (zenon_L273_); trivial. % 0.96/1.14 (* end of lemma zenon_L274_ *) % 0.96/1.14 assert (zenon_L275_ : ((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> (~(hskp17)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(hskp18)) -> (~(hskp19)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H175 zenon_H28d zenon_H17c zenon_H17b zenon_H17a zenon_Ha2 zenon_H27d zenon_H27e zenon_H27f zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H1c3 zenon_H1c1 zenon_H104. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H179 | zenon_intro zenon_H28e ]. % 0.96/1.14 apply (zenon_L89_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H10c | zenon_intro zenon_H17 ]. % 0.96/1.14 apply (zenon_L263_); trivial. % 0.96/1.14 apply (zenon_L132_); trivial. % 0.96/1.14 (* end of lemma zenon_L275_ *) % 0.96/1.14 assert (zenon_L276_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H1f1 zenon_H142 zenon_H135 zenon_H134 zenon_Hd9 zenon_Ha2 zenon_H16 zenon_H27d zenon_H27e zenon_H27f zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H47. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 0.96/1.14 apply (zenon_L138_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 0.96/1.14 apply (zenon_L263_); trivial. % 0.96/1.14 exact (zenon_H47 zenon_H48). % 0.96/1.14 (* end of lemma zenon_L276_ *) % 0.96/1.14 assert (zenon_L277_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (ndr1_0) -> (~(hskp17)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp6)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H198 zenon_H17 zenon_H47 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H27f zenon_H27e zenon_H27d zenon_H16 zenon_Ha2 zenon_H134 zenon_H135 zenon_H142 zenon_H1f1 zenon_H3. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 0.96/1.14 apply (zenon_L142_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 0.96/1.14 apply (zenon_L276_); trivial. % 0.96/1.14 exact (zenon_H3 zenon_H4). % 0.96/1.14 (* end of lemma zenon_L277_ *) % 0.96/1.14 assert (zenon_L278_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp17)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp6)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H7e zenon_H1dc zenon_H198 zenon_H47 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H27f zenon_H27e zenon_H27d zenon_Ha2 zenon_H134 zenon_H135 zenon_H142 zenon_H1f1 zenon_H3. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 0.96/1.14 apply (zenon_L31_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 0.96/1.14 apply (zenon_L276_); trivial. % 0.96/1.14 apply (zenon_L277_); trivial. % 0.96/1.14 (* end of lemma zenon_L278_ *) % 0.96/1.14 assert (zenon_L279_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H83 zenon_H1dc zenon_H3 zenon_H198 zenon_H134 zenon_H135 zenon_H142 zenon_Ha4 zenon_Ha2 zenon_H27f zenon_H27e zenon_H27d zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.96/1.14 apply (zenon_L30_); trivial. % 0.96/1.14 apply (zenon_L278_); trivial. % 0.96/1.14 (* end of lemma zenon_L279_ *) % 0.96/1.14 assert (zenon_L280_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp22)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H19e zenon_H164 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H1f1 zenon_H47 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H27d zenon_H27e zenon_H27f zenon_Ha2 zenon_Ha4 zenon_H142 zenon_H135 zenon_H134 zenon_H198 zenon_H3 zenon_H1dc zenon_H83. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.14 apply (zenon_L279_); trivial. % 0.96/1.14 apply (zenon_L101_); trivial. % 0.96/1.14 (* end of lemma zenon_L280_ *) % 0.96/1.14 assert (zenon_L281_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp17)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp6)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H183 zenon_H28d zenon_H198 zenon_H47 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H27f zenon_H27e zenon_H27d zenon_Ha2 zenon_H134 zenon_H135 zenon_H142 zenon_H1f1 zenon_H3. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H179 | zenon_intro zenon_H28e ]. % 0.96/1.14 apply (zenon_L89_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H10c | zenon_intro zenon_H17 ]. % 0.96/1.14 apply (zenon_L263_); trivial. % 0.96/1.14 apply (zenon_L277_); trivial. % 0.96/1.14 (* end of lemma zenon_L281_ *) % 0.96/1.14 assert (zenon_L282_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H13f zenon_H192 zenon_H28d zenon_H83 zenon_H1dc zenon_H3 zenon_H198 zenon_Ha4 zenon_Ha2 zenon_H27f zenon_H27e zenon_H27d zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H90 zenon_H1 zenon_H19e zenon_Hbd zenon_Hc0. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.96/1.14 apply (zenon_L280_); trivial. % 0.96/1.14 apply (zenon_L281_); trivial. % 0.96/1.14 (* end of lemma zenon_L282_ *) % 0.96/1.14 assert (zenon_L283_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a527))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp17)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H144 zenon_H3 zenon_H198 zenon_H47 zenon_H1f1 zenon_H173 zenon_H1dc zenon_H1c1 zenon_H1c3 zenon_Ha4 zenon_Hc1 zenon_H196 zenon_H83 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H28f zenon_H95 zenon_H158 zenon_H96 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H1 zenon_H90 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_Ha2 zenon_H19e zenon_Hc0 zenon_H5b zenon_Hb4 zenon_Hb2 zenon_H27f zenon_H27e zenon_H27d zenon_H28d zenon_H192. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.96/1.14 apply (zenon_L272_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 0.96/1.14 apply (zenon_L274_); trivial. % 0.96/1.14 apply (zenon_L275_); trivial. % 0.96/1.14 apply (zenon_L282_); trivial. % 0.96/1.14 (* end of lemma zenon_L283_ *) % 0.96/1.14 assert (zenon_L284_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H1fa zenon_Hd9 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H16 zenon_H63 zenon_H64 zenon_H65. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 0.96/1.14 apply (zenon_L49_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 0.96/1.14 apply (zenon_L123_); trivial. % 0.96/1.14 apply (zenon_L27_); trivial. % 0.96/1.14 (* end of lemma zenon_L284_ *) % 0.96/1.14 assert (zenon_L285_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp6)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H7e zenon_H198 zenon_H65 zenon_H64 zenon_H63 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H1fa zenon_H3. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 0.96/1.14 apply (zenon_L31_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 0.96/1.14 apply (zenon_L284_); trivial. % 0.96/1.14 exact (zenon_H3 zenon_H4). % 0.96/1.14 (* end of lemma zenon_L285_ *) % 0.96/1.14 assert (zenon_L286_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H83 zenon_H198 zenon_H3 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H1fa zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.96/1.14 apply (zenon_L30_); trivial. % 0.96/1.14 apply (zenon_L285_); trivial. % 0.96/1.14 (* end of lemma zenon_L286_ *) % 0.96/1.14 assert (zenon_L287_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(hskp22)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H19e zenon_Ha2 zenon_H164 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H1fa zenon_H1cc zenon_H1cb zenon_H1ca zenon_H3 zenon_H198 zenon_H83. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.14 apply (zenon_L286_); trivial. % 0.96/1.14 apply (zenon_L101_); trivial. % 0.96/1.14 (* end of lemma zenon_L287_ *) % 0.96/1.14 assert (zenon_L288_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H183 zenon_H1fa zenon_H9 zenon_H22e zenon_H1cc zenon_H1cb zenon_H1ca zenon_H63 zenon_H64 zenon_H65. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 0.96/1.14 apply (zenon_L222_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 0.96/1.14 apply (zenon_L123_); trivial. % 0.96/1.14 apply (zenon_L27_); trivial. % 0.96/1.14 (* end of lemma zenon_L288_ *) % 0.96/1.14 assert (zenon_L289_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(hskp17)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H1d3 zenon_H192 zenon_H9 zenon_H22e zenon_H83 zenon_H198 zenon_H3 zenon_H1fa zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H90 zenon_H1 zenon_Ha2 zenon_H19e zenon_Hbd zenon_Hc0. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.96/1.14 apply (zenon_L287_); trivial. % 0.96/1.14 apply (zenon_L288_); trivial. % 0.96/1.14 (* end of lemma zenon_L289_ *) % 0.96/1.14 assert (zenon_L290_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a527))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H143 zenon_H23c zenon_H11b zenon_Hc3 zenon_H144 zenon_H3 zenon_H198 zenon_H47 zenon_H1f1 zenon_H173 zenon_H1dc zenon_H1c3 zenon_Ha4 zenon_Hc1 zenon_H196 zenon_H83 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H28f zenon_H95 zenon_H158 zenon_H96 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H1 zenon_H90 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H19e zenon_Hc0 zenon_H5b zenon_Hb4 zenon_Hb2 zenon_H27f zenon_H27e zenon_H27d zenon_H28d zenon_H192 zenon_H1fa zenon_H22e zenon_H9 zenon_H1fc. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 0.96/1.14 apply (zenon_L283_); trivial. % 0.96/1.14 apply (zenon_L289_); trivial. % 0.96/1.14 apply (zenon_L257_); trivial. % 0.96/1.14 (* end of lemma zenon_L290_ *) % 0.96/1.14 assert (zenon_L291_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H28d zenon_H17c zenon_H17b zenon_H17a zenon_H27f zenon_H27e zenon_H27d zenon_H92 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H179 | zenon_intro zenon_H28e ]. % 0.96/1.14 apply (zenon_L89_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H10c | zenon_intro zenon_H17 ]. % 0.96/1.14 apply (zenon_L262_); trivial. % 0.96/1.14 apply (zenon_L12_); trivial. % 0.96/1.14 (* end of lemma zenon_L291_ *) % 0.96/1.14 assert (zenon_L292_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp17)) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp4)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H183 zenon_H291 zenon_Ha2 zenon_H93 zenon_H95 zenon_H96 zenon_H63 zenon_H64 zenon_H65 zenon_Ha4 zenon_H1a zenon_H19 zenon_H18 zenon_H27d zenon_H27e zenon_H27f zenon_H28d zenon_H4b. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 0.96/1.14 apply (zenon_L136_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 0.96/1.14 apply (zenon_L291_); trivial. % 0.96/1.14 exact (zenon_H4b zenon_H4c). % 0.96/1.14 (* end of lemma zenon_L292_ *) % 0.96/1.14 assert (zenon_L293_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(hskp17)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H1d3 zenon_H192 zenon_H291 zenon_H4b zenon_H27d zenon_H27e zenon_H27f zenon_H18 zenon_H19 zenon_H1a zenon_H28d zenon_H93 zenon_H95 zenon_H96 zenon_Ha4 zenon_H83 zenon_H198 zenon_H3 zenon_H1fa zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H90 zenon_H1 zenon_Ha2 zenon_H19e zenon_Hbd zenon_Hc0. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.96/1.14 apply (zenon_L287_); trivial. % 0.96/1.14 apply (zenon_L292_); trivial. % 0.96/1.14 (* end of lemma zenon_L293_ *) % 0.96/1.14 assert (zenon_L294_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H7 zenon_H3 zenon_H143 zenon_H23c zenon_H11b zenon_Hc3 zenon_H144 zenon_H198 zenon_H47 zenon_H1f1 zenon_H173 zenon_H1dc zenon_H1c3 zenon_Ha4 zenon_Hc1 zenon_H196 zenon_H83 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H28f zenon_H158 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H90 zenon_H70 zenon_H19e zenon_Hc0 zenon_H5b zenon_Hb4 zenon_Hb2 zenon_H27f zenon_H27e zenon_H27d zenon_H28d zenon_H192 zenon_H1fa zenon_H22e zenon_H1fc zenon_H291 zenon_H4b zenon_H36 zenon_H146. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 0.96/1.14 apply (zenon_L4_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.14 apply (zenon_L290_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 0.96/1.14 apply (zenon_L283_); trivial. % 0.96/1.14 apply (zenon_L293_); trivial. % 0.96/1.14 apply (zenon_L257_); trivial. % 0.96/1.14 apply (zenon_L258_); trivial. % 0.96/1.14 (* end of lemma zenon_L294_ *) % 0.96/1.14 assert (zenon_L295_ : ((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp7)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H23f zenon_H23c zenon_H27f zenon_H27e zenon_H27d zenon_H11b. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 0.96/1.14 apply (zenon_L150_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 0.96/1.14 apply (zenon_L256_); trivial. % 0.96/1.14 exact (zenon_H11b zenon_H11c). % 0.96/1.14 (* end of lemma zenon_L295_ *) % 0.96/1.14 assert (zenon_L296_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H252 zenon_H23e zenon_H218 zenon_H4b zenon_Hc3 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c zenon_H143. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.14 apply (zenon_L163_); trivial. % 0.96/1.14 apply (zenon_L257_); trivial. % 0.96/1.14 apply (zenon_L295_); trivial. % 0.96/1.14 (* end of lemma zenon_L296_ *) % 0.96/1.14 assert (zenon_L297_ : ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> (~(hskp3)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H279 zenon_H216 zenon_H228 zenon_H116 zenon_H22a zenon_H24b zenon_He8 zenon_H23e zenon_H251 zenon_H196 zenon_H198 zenon_H192 zenon_H184 zenon_H174 zenon_H158 zenon_H166 zenon_H173 zenon_H195 zenon_H61 zenon_H5b zenon_H57 zenon_H4b zenon_H5c zenon_Hd zenon_H13 zenon_H2b zenon_H2e zenon_H33 zenon_H36 zenon_H146 zenon_H143 zenon_H23c zenon_H27f zenon_H27e zenon_H27d zenon_Hc3 zenon_H83 zenon_H7f zenon_H70 zenon_H90 zenon_Hb7 zenon_Hb2 zenon_Hb4 zenon_Ha4 zenon_Hbd zenon_Hc0 zenon_H3 zenon_H7 zenon_H1a0 zenon_H1fc zenon_H28d zenon_H1c4 zenon_H1c3 zenon_H19e zenon_H144 zenon_Hf1 zenon_H1d8 zenon_H1d6 zenon_H1da zenon_H10b zenon_H291 zenon_H22e zenon_H1fa zenon_H28f zenon_H1dc zenon_H1f1 zenon_H209 zenon_H218 zenon_H250. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.14 apply (zenon_L26_); trivial. % 0.96/1.14 apply (zenon_L259_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.14 apply (zenon_L95_); trivial. % 0.96/1.14 apply (zenon_L261_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.14 apply (zenon_L267_); trivial. % 0.96/1.14 apply (zenon_L294_); trivial. % 0.96/1.14 apply (zenon_L295_); trivial. % 0.96/1.14 apply (zenon_L296_); trivial. % 0.96/1.14 apply (zenon_L220_); trivial. % 0.96/1.14 (* end of lemma zenon_L297_ *) % 0.96/1.14 assert (zenon_L298_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H251 zenon_H195 zenon_H24b zenon_H1d6 zenon_H174 zenon_H61 zenon_H5b zenon_H57 zenon_H47 zenon_H4b zenon_H5c zenon_Hd zenon_H13 zenon_H11 zenon_H2b zenon_H2e zenon_H33 zenon_H36 zenon_H192 zenon_H1fa zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H22e zenon_H83 zenon_H7f zenon_H70 zenon_H90 zenon_H19e zenon_Hbd zenon_Hc0 zenon_Hc3 zenon_Hc1 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c zenon_H143 zenon_H1a0. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.14 apply (zenon_L26_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.14 apply (zenon_L226_); trivial. % 0.96/1.14 apply (zenon_L257_); trivial. % 0.96/1.14 apply (zenon_L16_); trivial. % 0.96/1.14 apply (zenon_L258_); trivial. % 0.96/1.14 apply (zenon_L234_); trivial. % 0.96/1.14 (* end of lemma zenon_L298_ *) % 0.96/1.14 assert (zenon_L299_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp30)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H5b zenon_H57 zenon_H47 zenon_Hb zenon_H1c4 zenon_Hc1 zenon_H1a zenon_H19 zenon_H18 zenon_H16 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H260 zenon_H261 zenon_H262 zenon_Ha2 zenon_Ha4 zenon_H8e zenon_H272. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.96/1.14 apply (zenon_L241_); trivial. % 0.96/1.14 apply (zenon_L23_); trivial. % 0.96/1.14 (* end of lemma zenon_L299_ *) % 0.96/1.14 assert (zenon_L300_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp22)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hbd zenon_H19e zenon_H164 zenon_H272 zenon_Ha4 zenon_Ha2 zenon_H262 zenon_H261 zenon_H260 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H16 zenon_H18 zenon_H19 zenon_H1a zenon_Hc1 zenon_H1c4 zenon_Hb zenon_H47 zenon_H57 zenon_H5b. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.14 apply (zenon_L299_); trivial. % 0.96/1.14 apply (zenon_L100_); trivial. % 0.96/1.14 (* end of lemma zenon_L300_ *) % 0.96/1.14 assert (zenon_L301_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H192 zenon_H28d zenon_H27d zenon_H27e zenon_H27f zenon_H5b zenon_H57 zenon_H47 zenon_Hb zenon_H1c4 zenon_Hc1 zenon_H1a zenon_H19 zenon_H18 zenon_H16 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H260 zenon_H261 zenon_H262 zenon_Ha2 zenon_Ha4 zenon_H272 zenon_H19e zenon_Hbd. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.96/1.14 apply (zenon_L300_); trivial. % 0.96/1.14 apply (zenon_L264_); trivial. % 0.96/1.14 (* end of lemma zenon_L301_ *) % 0.96/1.14 assert (zenon_L302_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H61 zenon_H4b zenon_H5c zenon_Hd zenon_Hb zenon_H192 zenon_H28d zenon_H27d zenon_H27e zenon_H27f zenon_H5b zenon_H57 zenon_H47 zenon_H1c4 zenon_Hc1 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H272 zenon_H19e zenon_Hbd zenon_Hc3 zenon_H11b zenon_H23c zenon_H143 zenon_H36. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.14 apply (zenon_L7_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.14 apply (zenon_L301_); trivial. % 0.96/1.14 apply (zenon_L257_); trivial. % 0.96/1.14 apply (zenon_L25_); trivial. % 0.96/1.14 (* end of lemma zenon_L302_ *) % 0.96/1.14 assert (zenon_L303_ : (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c3_1 (a501))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (c1_1 (a501)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H17 zenon_H16 zenon_H260 zenon_H1e4 zenon_H261. % 0.96/1.14 generalize (zenon_H17 (a501)). zenon_intro zenon_H293. % 0.96/1.14 apply (zenon_imply_s _ _ zenon_H293); [ zenon_intro zenon_H15 | zenon_intro zenon_H294 ]. % 0.96/1.14 exact (zenon_H15 zenon_H16). % 0.96/1.14 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H266 | zenon_intro zenon_H295 ]. % 0.96/1.14 exact (zenon_H260 zenon_H266). % 0.96/1.14 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H268 | zenon_intro zenon_H26d ]. % 0.96/1.14 generalize (zenon_H1e4 (a501)). zenon_intro zenon_H296. % 0.96/1.14 apply (zenon_imply_s _ _ zenon_H296); [ zenon_intro zenon_H15 | zenon_intro zenon_H297 ]. % 0.96/1.14 exact (zenon_H15 zenon_H16). % 0.96/1.14 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H26c | zenon_intro zenon_H298 ]. % 0.96/1.14 exact (zenon_H268 zenon_H26c). % 0.96/1.14 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H266 | zenon_intro zenon_H26d ]. % 0.96/1.14 exact (zenon_H260 zenon_H266). % 0.96/1.14 exact (zenon_H26d zenon_H261). % 0.96/1.14 exact (zenon_H26d zenon_H261). % 0.96/1.14 (* end of lemma zenon_L303_ *) % 0.96/1.14 assert (zenon_L304_ : ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.96/1.14 do 0 intro. intros zenon_Ha4 zenon_H65 zenon_H64 zenon_H63 zenon_H27f zenon_H27e zenon_H27d zenon_H10c zenon_H16 zenon_Ha2. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha5 ]. % 0.96/1.14 apply (zenon_L27_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha3 ]. % 0.96/1.14 apply (zenon_L262_); trivial. % 0.96/1.14 exact (zenon_Ha2 zenon_Ha3). % 0.96/1.14 (* end of lemma zenon_L304_ *) % 0.96/1.14 assert (zenon_L305_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H1f1 zenon_H261 zenon_H260 zenon_H17 zenon_Ha2 zenon_H16 zenon_H27d zenon_H27e zenon_H27f zenon_H63 zenon_H64 zenon_H65 zenon_Ha4 zenon_H47. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 0.96/1.14 apply (zenon_L303_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 0.96/1.14 apply (zenon_L304_); trivial. % 0.96/1.14 exact (zenon_H47 zenon_H48). % 0.96/1.14 (* end of lemma zenon_L305_ *) % 0.96/1.14 assert (zenon_L306_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (c2_1 (a522)) -> (c1_1 (a522)) -> (c0_1 (a522)) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H24b zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H62 zenon_H4f zenon_H4e zenon_H4d zenon_H16 zenon_H1d6. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H24c ]. % 0.96/1.14 apply (zenon_L113_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1d7 ]. % 0.96/1.14 apply (zenon_L22_); trivial. % 0.96/1.14 exact (zenon_H1d6 zenon_H1d7). % 0.96/1.14 (* end of lemma zenon_L306_ *) % 0.96/1.14 assert (zenon_L307_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (~(hskp17)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a522)) -> (c1_1 (a522)) -> (c0_1 (a522)) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H1fa zenon_Hd9 zenon_Ha2 zenon_H260 zenon_H261 zenon_H262 zenon_H63 zenon_H64 zenon_H65 zenon_Ha4 zenon_H24b zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H4f zenon_H4e zenon_H4d zenon_H16 zenon_H1d6. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 0.96/1.14 apply (zenon_L49_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 0.96/1.14 apply (zenon_L224_); trivial. % 0.96/1.14 apply (zenon_L306_); trivial. % 0.96/1.14 (* end of lemma zenon_L307_ *) % 0.96/1.14 assert (zenon_L308_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H32 zenon_H143 zenon_H23c zenon_H11b zenon_Hc3 zenon_Hc0 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H5b zenon_H1dc zenon_H24b zenon_H1d6 zenon_H1fa zenon_H1c4 zenon_Hc1 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H272 zenon_H19e zenon_Hbd zenon_H83 zenon_H27f zenon_H27e zenon_H27d zenon_H28d zenon_H192. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.96/1.14 apply (zenon_L30_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 0.96/1.14 apply (zenon_L241_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 0.96/1.14 apply (zenon_L31_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 0.96/1.14 apply (zenon_L307_); trivial. % 0.96/1.14 apply (zenon_L12_); trivial. % 0.96/1.14 apply (zenon_L100_); trivial. % 0.96/1.14 apply (zenon_L101_); trivial. % 0.96/1.14 apply (zenon_L264_); trivial. % 0.96/1.14 apply (zenon_L257_); trivial. % 0.96/1.14 (* end of lemma zenon_L308_ *) % 0.96/1.14 assert (zenon_L309_ : (~(hskp0)) -> (hskp0) -> False). % 0.96/1.14 do 0 intro. intros zenon_H299 zenon_H29a. % 0.96/1.14 exact (zenon_H299 zenon_H29a). % 0.96/1.14 (* end of lemma zenon_L309_ *) % 0.96/1.14 assert (zenon_L310_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp0)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H2d zenon_H29b zenon_H262 zenon_H261 zenon_H260 zenon_H299. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H153 | zenon_intro zenon_H29c ]. % 0.96/1.14 apply (zenon_L232_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H21 | zenon_intro zenon_H29a ]. % 0.96/1.14 apply (zenon_L13_); trivial. % 0.96/1.14 exact (zenon_H299 zenon_H29a). % 0.96/1.14 (* end of lemma zenon_L310_ *) % 0.96/1.14 assert (zenon_L311_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (ndr1_0) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H33 zenon_H29b zenon_H299 zenon_H262 zenon_H261 zenon_H260 zenon_H16 zenon_H20b zenon_H20c zenon_H20d zenon_H214 zenon_H216. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.96/1.14 apply (zenon_L161_); trivial. % 0.96/1.14 apply (zenon_L310_); trivial. % 0.96/1.14 (* end of lemma zenon_L311_ *) % 0.96/1.14 assert (zenon_L312_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H252 zenon_H23e zenon_H11b zenon_H23c zenon_H33 zenon_H29b zenon_H299 zenon_H262 zenon_H261 zenon_H260 zenon_H216 zenon_H218 zenon_H4b zenon_H228 zenon_H1d6 zenon_Hc3 zenon_H116 zenon_H143 zenon_H22a. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 0.96/1.14 apply (zenon_L311_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.14 apply (zenon_L163_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 0.96/1.14 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.96/1.14 apply (zenon_L167_); trivial. % 0.96/1.14 apply (zenon_L310_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 0.96/1.14 apply (zenon_L311_); trivial. % 0.96/1.14 apply (zenon_L182_); trivial. % 0.96/1.14 (* end of lemma zenon_L312_ *) % 0.96/1.14 assert (zenon_L313_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hda zenon_H16 zenon_H29d zenon_H29e zenon_H29f. % 0.96/1.14 generalize (zenon_Hda (a498)). zenon_intro zenon_H2a0. % 0.96/1.14 apply (zenon_imply_s _ _ zenon_H2a0); [ zenon_intro zenon_H15 | zenon_intro zenon_H2a1 ]. % 0.96/1.14 exact (zenon_H15 zenon_H16). % 0.96/1.14 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2a2 ]. % 0.96/1.14 exact (zenon_H29d zenon_H2a3). % 0.96/1.14 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2a4 ]. % 0.96/1.14 exact (zenon_H29e zenon_H2a5). % 0.96/1.14 exact (zenon_H2a4 zenon_H29f). % 0.96/1.14 (* end of lemma zenon_L313_ *) % 0.96/1.14 assert (zenon_L314_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp8)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H1c9 zenon_H29f zenon_H29e zenon_H29d zenon_H16 zenon_Hb zenon_H47. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hda | zenon_intro zenon_H5a ]. % 0.96/1.14 apply (zenon_L313_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_Hc | zenon_intro zenon_H48 ]. % 0.96/1.14 exact (zenon_Hb zenon_Hc). % 0.96/1.14 exact (zenon_H47 zenon_H48). % 0.96/1.14 (* end of lemma zenon_L314_ *) % 0.96/1.14 assert (zenon_L315_ : (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c0_1 (a498))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H62 zenon_H16 zenon_H29e zenon_H29f zenon_H72 zenon_H29d. % 0.96/1.14 generalize (zenon_H62 (a498)). zenon_intro zenon_H2a6. % 0.96/1.14 apply (zenon_imply_s _ _ zenon_H2a6); [ zenon_intro zenon_H15 | zenon_intro zenon_H2a7 ]. % 0.96/1.14 exact (zenon_H15 zenon_H16). % 0.96/1.14 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2a8 ]. % 0.96/1.14 exact (zenon_H29e zenon_H2a5). % 0.96/1.14 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2a9 ]. % 0.96/1.14 exact (zenon_H2a4 zenon_H29f). % 0.96/1.14 generalize (zenon_H72 (a498)). zenon_intro zenon_H2aa. % 0.96/1.14 apply (zenon_imply_s _ _ zenon_H2aa); [ zenon_intro zenon_H15 | zenon_intro zenon_H2ab ]. % 0.96/1.14 exact (zenon_H15 zenon_H16). % 0.96/1.14 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2ac ]. % 0.96/1.14 exact (zenon_H29d zenon_H2a3). % 0.96/1.14 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2ad ]. % 0.96/1.14 exact (zenon_H29e zenon_H2a5). % 0.96/1.14 exact (zenon_H2a9 zenon_H2ad). % 0.96/1.14 (* end of lemma zenon_L315_ *) % 0.96/1.14 assert (zenon_L316_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (c1_1 (a512)) -> (c2_1 (a512)) -> (c3_1 (a512)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H28f zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_H38 zenon_H16 zenon_Ha7 zenon_Ha8 zenon_Hba. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 0.96/1.14 apply (zenon_L313_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 0.96/1.14 apply (zenon_L41_); trivial. % 0.96/1.14 apply (zenon_L315_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 0.96/1.14 apply (zenon_L41_); trivial. % 0.96/1.14 apply (zenon_L99_); trivial. % 0.96/1.14 (* end of lemma zenon_L316_ *) % 0.96/1.14 assert (zenon_L317_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp17)) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp2)) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hb6 zenon_Hb7 zenon_Ha2 zenon_H93 zenon_H95 zenon_H96 zenon_H63 zenon_H64 zenon_H65 zenon_Ha4 zenon_H1fa zenon_H29e zenon_H29f zenon_H29d zenon_H28f zenon_H2b. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 0.96/1.14 apply (zenon_L40_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 0.96/1.14 apply (zenon_L316_); trivial. % 0.96/1.14 exact (zenon_H2b zenon_H2c). % 0.96/1.14 (* end of lemma zenon_L317_ *) % 0.96/1.14 assert (zenon_L318_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hbc zenon_Hbd zenon_Hb7 zenon_H2b zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H28f zenon_H63 zenon_H64 zenon_H65 zenon_H93 zenon_H95 zenon_H96 zenon_Ha2 zenon_Ha4 zenon_H1 zenon_H90. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.14 apply (zenon_L37_); trivial. % 0.96/1.14 apply (zenon_L317_); trivial. % 0.96/1.14 (* end of lemma zenon_L318_ *) % 0.96/1.14 assert (zenon_L319_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H28f zenon_H93 zenon_H95 zenon_H96 zenon_Ha2 zenon_Ha4 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H11 zenon_H7c zenon_H7f zenon_H83. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.14 apply (zenon_L34_); trivial. % 0.96/1.14 apply (zenon_L318_); trivial. % 0.96/1.14 (* end of lemma zenon_L319_ *) % 0.96/1.14 assert (zenon_L320_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 0.96/1.14 do 0 intro. intros zenon_He7 zenon_He8 zenon_Hc1 zenon_Hc3 zenon_H29f zenon_H29e zenon_H29d zenon_H63 zenon_H64 zenon_H65. % 0.96/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 0.96/1.14 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.96/1.14 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.14 apply (zenon_L48_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.14 apply (zenon_L313_); trivial. % 0.96/1.14 apply (zenon_L27_); trivial. % 0.96/1.14 (* end of lemma zenon_L320_ *) % 0.96/1.14 assert (zenon_L321_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H5e zenon_H143 zenon_He8 zenon_H29f zenon_H29e zenon_H29d zenon_Hc1 zenon_Hc3 zenon_H63 zenon_H64 zenon_H65 zenon_Ha4. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.14 apply (zenon_L54_); trivial. % 0.96/1.14 apply (zenon_L320_); trivial. % 0.96/1.14 (* end of lemma zenon_L321_ *) % 0.96/1.14 assert (zenon_L322_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(hskp9)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H24d zenon_H196 zenon_H29f zenon_H29e zenon_H29d zenon_Hc1. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hda | zenon_intro zenon_H197 ]. % 0.96/1.14 apply (zenon_L313_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hc2 ]. % 0.96/1.14 apply (zenon_L79_); trivial. % 0.96/1.14 exact (zenon_Hc1 zenon_Hc2). % 0.96/1.14 (* end of lemma zenon_L322_ *) % 0.96/1.14 assert (zenon_L323_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (ndr1_0) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H251 zenon_H196 zenon_H1c9 zenon_H47 zenon_H29f zenon_H29e zenon_H29d zenon_H16 zenon_H146 zenon_H143 zenon_He8 zenon_Hc1 zenon_Hc3 zenon_H83 zenon_H7f zenon_H11 zenon_H70 zenon_H90 zenon_Ha4 zenon_H28f zenon_H1fa zenon_H2b zenon_Hb7 zenon_Hbd zenon_Hc0 zenon_H3 zenon_H7 zenon_H61 zenon_H1a0. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.14 apply (zenon_L314_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 0.96/1.14 apply (zenon_L4_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.14 apply (zenon_L319_); trivial. % 0.96/1.14 apply (zenon_L320_); trivial. % 0.96/1.14 apply (zenon_L321_); trivial. % 0.96/1.14 apply (zenon_L322_); trivial. % 0.96/1.14 (* end of lemma zenon_L323_ *) % 0.96/1.14 assert (zenon_L324_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> (~(hskp24)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(c1_1 (a527))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hc0 zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H90 zenon_H1 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H93 zenon_H96 zenon_H156 zenon_H158 zenon_H95 zenon_H28f zenon_H2b zenon_Hb7 zenon_Hbd zenon_H83. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.14 apply (zenon_L270_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.14 apply (zenon_L37_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 0.96/1.14 apply (zenon_L108_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 0.96/1.14 apply (zenon_L316_); trivial. % 0.96/1.14 exact (zenon_H2b zenon_H2c). % 0.96/1.14 (* end of lemma zenon_L324_ *) % 0.96/1.14 assert (zenon_L325_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a527))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(hskp19)) -> (~(hskp18)) -> (~(c2_1 (a554))) -> (c0_1 (a554)) -> (~(c3_1 (a554))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H83 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H28f zenon_H95 zenon_H196 zenon_Hc1 zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H93 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1 zenon_H90 zenon_H1c3 zenon_H104 zenon_H1c1 zenon_H16a zenon_H16c zenon_H16b zenon_H1dc zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.96/1.15 apply (zenon_L30_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.15 apply (zenon_L133_); trivial. % 0.96/1.15 apply (zenon_L317_); trivial. % 0.96/1.15 (* end of lemma zenon_L325_ *) % 0.96/1.15 assert (zenon_L326_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp18)) -> (~(hskp19)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a527))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H173 zenon_H1dc zenon_H1c1 zenon_H104 zenon_H1c3 zenon_Ha2 zenon_Ha4 zenon_Hc1 zenon_H196 zenon_H83 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H28f zenon_H95 zenon_H158 zenon_H96 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H1 zenon_H90 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_Hc0. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 0.96/1.15 apply (zenon_L324_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.15 apply (zenon_L325_); trivial. % 0.96/1.15 apply (zenon_L318_); trivial. % 0.96/1.15 (* end of lemma zenon_L326_ *) % 0.96/1.15 assert (zenon_L327_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(c1_1 (a527))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H143 zenon_He8 zenon_Hc3 zenon_H144 zenon_H1e2 zenon_H3 zenon_H198 zenon_H47 zenon_H1f1 zenon_He3 zenon_H1f8 zenon_H33 zenon_Hc0 zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H90 zenon_H1 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H93 zenon_H96 zenon_H158 zenon_H95 zenon_H28f zenon_H2b zenon_Hb7 zenon_Hbd zenon_H83 zenon_H196 zenon_Hc1 zenon_Ha4 zenon_H1c3 zenon_H1dc zenon_H173 zenon_H19e zenon_H22e zenon_H9 zenon_H192 zenon_H1fc. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 0.96/1.15 apply (zenon_L326_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.15 apply (zenon_L147_); trivial. % 0.96/1.15 apply (zenon_L318_); trivial. % 0.96/1.15 apply (zenon_L289_); trivial. % 0.96/1.15 apply (zenon_L320_); trivial. % 0.96/1.15 (* end of lemma zenon_L327_ *) % 0.96/1.15 assert (zenon_L328_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H33 zenon_H2e zenon_H2b zenon_H1a zenon_H19 zenon_H18 zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H95 zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H3 zenon_H1e2. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.96/1.15 apply (zenon_L137_); trivial. % 0.96/1.15 apply (zenon_L15_); trivial. % 0.96/1.15 (* end of lemma zenon_L328_ *) % 0.96/1.15 assert (zenon_L329_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1a1 zenon_He8 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H29f zenon_H29e zenon_H29d. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.15 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.15 apply (zenon_L150_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_L27_); trivial. % 0.96/1.15 (* end of lemma zenon_L329_ *) % 0.96/1.15 assert (zenon_L330_ : ((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H23f zenon_H1a0 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H47 zenon_H1c9. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.15 apply (zenon_L314_); trivial. % 0.96/1.15 apply (zenon_L329_); trivial. % 0.96/1.15 (* end of lemma zenon_L330_ *) % 0.96/1.15 assert (zenon_L331_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c0_1 (a498))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_Hc4 zenon_H16 zenon_H29e zenon_H29f zenon_H72 zenon_H29d. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L172_); trivial. % 0.96/1.15 apply (zenon_L315_); trivial. % 0.96/1.15 (* end of lemma zenon_L331_ *) % 0.96/1.15 assert (zenon_L332_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c0_1 (a498))) -> False). % 0.96/1.15 do 0 intro. intros zenon_He8 zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H16 zenon_H29e zenon_H29f zenon_H72 zenon_H29d. % 0.96/1.15 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.15 apply (zenon_L331_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_L315_); trivial. % 0.96/1.15 (* end of lemma zenon_L332_ *) % 0.96/1.15 assert (zenon_L333_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H7f zenon_H29d zenon_H29f zenon_H29e zenon_H16 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_He8 zenon_H11 zenon_H7c. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 0.96/1.15 apply (zenon_L332_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 0.96/1.15 exact (zenon_H11 zenon_H12). % 0.96/1.15 exact (zenon_H7c zenon_H7d). % 0.96/1.15 (* end of lemma zenon_L333_ *) % 0.96/1.15 assert (zenon_L334_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H251 zenon_H196 zenon_Hc1 zenon_He8 zenon_H16 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H11 zenon_H7f. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 0.96/1.15 apply (zenon_L333_); trivial. % 0.96/1.15 apply (zenon_L322_); trivial. % 0.96/1.15 (* end of lemma zenon_L334_ *) % 0.96/1.15 assert (zenon_L335_ : (forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77)))))) -> (ndr1_0) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H2ae zenon_H16 zenon_H21b zenon_H21c zenon_H223. % 0.96/1.15 generalize (zenon_H2ae (a530)). zenon_intro zenon_H2af. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H2af); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b0 ]. % 0.96/1.15 exact (zenon_H15 zenon_H16). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H222 | zenon_intro zenon_H2b1 ]. % 0.96/1.15 exact (zenon_H21b zenon_H222). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H221 | zenon_intro zenon_H227 ]. % 0.96/1.15 exact (zenon_H221 zenon_H21c). % 0.96/1.15 exact (zenon_H227 zenon_H223). % 0.96/1.15 (* end of lemma zenon_L335_ *) % 0.96/1.15 assert (zenon_L336_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a530)) -> (c2_1 (a530)) -> (~(c1_1 (a530))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H62 zenon_H223 zenon_H21c zenon_H21b zenon_H16 zenon_Hef. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H10c | zenon_intro zenon_H2b3 ]. % 0.96/1.15 apply (zenon_L242_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2ae | zenon_intro zenon_Hf0 ]. % 0.96/1.15 apply (zenon_L335_); trivial. % 0.96/1.15 exact (zenon_Hef zenon_Hf0). % 0.96/1.15 (* end of lemma zenon_L336_ *) % 0.96/1.15 assert (zenon_L337_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c3_1 (a530)) -> (c2_1 (a530)) -> (~(c1_1 (a530))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H20d zenon_H20c zenon_H20b zenon_Hc4 zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H223 zenon_H21c zenon_H21b zenon_H16 zenon_Hef. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L172_); trivial. % 0.96/1.15 apply (zenon_L336_); trivial. % 0.96/1.15 (* end of lemma zenon_L337_ *) % 0.96/1.15 assert (zenon_L338_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c3_1 (a530)) -> (c2_1 (a530)) -> (~(c1_1 (a530))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.96/1.15 do 0 intro. intros zenon_He8 zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H223 zenon_H21c zenon_H21b zenon_H16 zenon_Hef. % 0.96/1.15 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.15 apply (zenon_L337_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_L336_); trivial. % 0.96/1.15 (* end of lemma zenon_L338_ *) % 0.96/1.15 assert (zenon_L339_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H28f zenon_H1dc zenon_H29d zenon_H29f zenon_H29e zenon_Hc4 zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 0.96/1.15 apply (zenon_L331_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 0.96/1.15 apply (zenon_L172_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 0.96/1.15 apply (zenon_L331_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 0.96/1.15 apply (zenon_L57_); trivial. % 0.96/1.15 apply (zenon_L12_); trivial. % 0.96/1.15 (* end of lemma zenon_L339_ *) % 0.96/1.15 assert (zenon_L340_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp28)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H108 zenon_He8 zenon_H116 zenon_H1a zenon_H19 zenon_H18 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29e zenon_H29f zenon_H29d zenon_H1dc zenon_H28f zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_Hf. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 0.96/1.15 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.15 apply (zenon_L339_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H117 ]. % 0.96/1.15 apply (zenon_L339_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10c | zenon_intro zenon_H10 ]. % 0.96/1.15 apply (zenon_L242_); trivial. % 0.96/1.15 exact (zenon_Hf zenon_H10). % 0.96/1.15 (* end of lemma zenon_L340_ *) % 0.96/1.15 assert (zenon_L341_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H32 zenon_H22a zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1fa zenon_H28f zenon_H1dc zenon_H116 zenon_H10b zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H2b zenon_H2e zenon_H33. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 0.96/1.15 apply (zenon_L162_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 0.96/1.15 apply (zenon_L338_); trivial. % 0.96/1.15 apply (zenon_L340_); trivial. % 0.96/1.15 apply (zenon_L15_); trivial. % 0.96/1.15 (* end of lemma zenon_L341_ *) % 0.96/1.15 assert (zenon_L342_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H36 zenon_H22a zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1fa zenon_H28f zenon_H1dc zenon_H116 zenon_H10b zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H2b zenon_H2e zenon_H33 zenon_H1 zenon_Hb zenon_Hd. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.15 apply (zenon_L7_); trivial. % 0.96/1.15 apply (zenon_L341_); trivial. % 0.96/1.15 (* end of lemma zenon_L342_ *) % 0.96/1.15 assert (zenon_L343_ : ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H158 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H3a zenon_H39 zenon_H3b zenon_H16 zenon_H156. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ]. % 0.96/1.15 apply (zenon_L105_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H92 | zenon_intro zenon_H157 ]. % 0.96/1.15 apply (zenon_L53_); trivial. % 0.96/1.15 exact (zenon_H156 zenon_H157). % 0.96/1.15 (* end of lemma zenon_L343_ *) % 0.96/1.15 assert (zenon_L344_ : (forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77)))))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H2ae zenon_H16 zenon_Hf3 zenon_H20c zenon_H20d. % 0.96/1.15 generalize (zenon_H2ae (a505)). zenon_intro zenon_H2b4. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H2b4); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b5 ]. % 0.96/1.15 exact (zenon_H15 zenon_H16). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H233 | zenon_intro zenon_H210 ]. % 0.96/1.15 generalize (zenon_Hf3 (a505)). zenon_intro zenon_H2b6. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H2b6); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b7 ]. % 0.96/1.15 exact (zenon_H15 zenon_H16). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H237 | zenon_intro zenon_H210 ]. % 0.96/1.15 exact (zenon_H237 zenon_H233). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H213 | zenon_intro zenon_H212 ]. % 0.96/1.15 exact (zenon_H213 zenon_H20c). % 0.96/1.15 exact (zenon_H212 zenon_H20d). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H213 | zenon_intro zenon_H212 ]. % 0.96/1.15 exact (zenon_H213 zenon_H20c). % 0.96/1.15 exact (zenon_H212 zenon_H20d). % 0.96/1.15 (* end of lemma zenon_L344_ *) % 0.96/1.15 assert (zenon_L345_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H62 zenon_H20d zenon_H20c zenon_Hf3 zenon_H16 zenon_Hef. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H10c | zenon_intro zenon_H2b3 ]. % 0.96/1.15 apply (zenon_L242_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2ae | zenon_intro zenon_Hf0 ]. % 0.96/1.15 apply (zenon_L344_); trivial. % 0.96/1.15 exact (zenon_Hef zenon_Hf0). % 0.96/1.15 (* end of lemma zenon_L345_ *) % 0.96/1.15 assert (zenon_L346_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(c0_1 (a505))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H28f zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H20b zenon_Hc4 zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H20d zenon_H20c zenon_H16 zenon_Hef. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 0.96/1.15 apply (zenon_L331_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 0.96/1.15 apply (zenon_L172_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L172_); trivial. % 0.96/1.15 apply (zenon_L345_); trivial. % 0.96/1.15 (* end of lemma zenon_L346_ *) % 0.96/1.15 assert (zenon_L347_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (~(hskp22)) -> (ndr1_0) -> (~(c2_1 (a554))) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp21)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H174 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H62 zenon_H164 zenon_H16 zenon_H16a zenon_H16b zenon_H16c zenon_H3b zenon_H3a zenon_H39 zenon_H166 zenon_H168. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H176 ]. % 0.96/1.15 apply (zenon_L113_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H153 | zenon_intro zenon_H169 ]. % 0.96/1.15 apply (zenon_L87_); trivial. % 0.96/1.15 exact (zenon_H168 zenon_H169). % 0.96/1.15 (* end of lemma zenon_L347_ *) % 0.96/1.15 assert (zenon_L348_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp29)) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a505))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp22)) -> (ndr1_0) -> (~(c2_1 (a554))) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp21)) -> False). % 0.96/1.15 do 0 intro. intros zenon_He8 zenon_Hef zenon_H20c zenon_H20d zenon_H2b2 zenon_H20b zenon_H1fa zenon_H28f zenon_H29f zenon_H29e zenon_H29d zenon_H174 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H164 zenon_H16 zenon_H16a zenon_H16b zenon_H16c zenon_H3b zenon_H3a zenon_H39 zenon_H166 zenon_H168. % 0.96/1.15 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.15 apply (zenon_L346_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_L347_); trivial. % 0.96/1.15 (* end of lemma zenon_L348_ *) % 0.96/1.15 assert (zenon_L349_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H16 zenon_H9. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H20a | zenon_intro zenon_H22f ]. % 0.96/1.15 apply (zenon_L159_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Ha ]. % 0.96/1.15 apply (zenon_L57_); trivial. % 0.96/1.15 exact (zenon_H9 zenon_Ha). % 0.96/1.15 (* end of lemma zenon_L349_ *) % 0.96/1.15 assert (zenon_L350_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H28f zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_Hc4 zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_H16 zenon_H9. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 0.96/1.15 apply (zenon_L331_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 0.96/1.15 apply (zenon_L172_); trivial. % 0.96/1.15 apply (zenon_L349_); trivial. % 0.96/1.15 (* end of lemma zenon_L350_ *) % 0.96/1.15 assert (zenon_L351_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp15)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp22)) -> (~(c2_1 (a554))) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp21)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H108 zenon_He8 zenon_H9 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H1fa zenon_H28f zenon_H29f zenon_H29e zenon_H29d zenon_H174 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H164 zenon_H16a zenon_H16b zenon_H16c zenon_H3b zenon_H3a zenon_H39 zenon_H166 zenon_H168. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 0.96/1.15 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.15 apply (zenon_L350_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_L347_); trivial. % 0.96/1.15 (* end of lemma zenon_L351_ *) % 0.96/1.15 assert (zenon_L352_ : (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21)))))) -> (~(c0_1 (a540))) -> (c1_1 (a540)) -> (c3_1 (a540)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H62 zenon_H16 zenon_Ha6 zenon_H17a zenon_H17b zenon_H17c. % 0.96/1.15 generalize (zenon_H62 (a540)). zenon_intro zenon_H2b8. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H2b8); [ zenon_intro zenon_H15 | zenon_intro zenon_H2b9 ]. % 0.96/1.15 exact (zenon_H15 zenon_H16). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H25f | zenon_intro zenon_H17f ]. % 0.96/1.15 generalize (zenon_Ha6 (a540)). zenon_intro zenon_H2ba. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H2ba); [ zenon_intro zenon_H15 | zenon_intro zenon_H2bb ]. % 0.96/1.15 exact (zenon_H15 zenon_H16). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H180 | zenon_intro zenon_H2bc ]. % 0.96/1.15 exact (zenon_H17a zenon_H180). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H25b ]. % 0.96/1.15 exact (zenon_H182 zenon_H17b). % 0.96/1.15 exact (zenon_H25b zenon_H25f). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H182 | zenon_intro zenon_H181 ]. % 0.96/1.15 exact (zenon_H182 zenon_H17b). % 0.96/1.15 exact (zenon_H181 zenon_H17c). % 0.96/1.15 (* end of lemma zenon_L352_ *) % 0.96/1.15 assert (zenon_L353_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.96/1.15 do 0 intro. intros zenon_He8 zenon_H20b zenon_H1fa zenon_H28f zenon_H29d zenon_H29f zenon_H29e zenon_H17c zenon_H17b zenon_H17a zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H20d zenon_H20c zenon_H16 zenon_Hef. % 0.96/1.15 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.15 apply (zenon_L346_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 0.96/1.15 apply (zenon_L315_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 0.96/1.15 apply (zenon_L352_); trivial. % 0.96/1.15 apply (zenon_L345_); trivial. % 0.96/1.15 (* end of lemma zenon_L353_ *) % 0.96/1.15 assert (zenon_L354_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H28f zenon_H29d zenon_H29f zenon_H29e zenon_H17c zenon_H17b zenon_H17a zenon_H62 zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_H16 zenon_H9. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 0.96/1.15 apply (zenon_L315_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 0.96/1.15 apply (zenon_L352_); trivial. % 0.96/1.15 apply (zenon_L349_); trivial. % 0.96/1.15 (* end of lemma zenon_L354_ *) % 0.96/1.15 assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp15)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H108 zenon_He8 zenon_H1fa zenon_H28f zenon_H29d zenon_H29f zenon_H29e zenon_H17c zenon_H17b zenon_H17a zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H9. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 0.96/1.15 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.15 apply (zenon_L350_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_L354_); trivial. % 0.96/1.15 (* end of lemma zenon_L355_ *) % 0.96/1.15 assert (zenon_L356_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H183 zenon_H10b zenon_H22e zenon_H9 zenon_H28f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_He8. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 0.96/1.15 apply (zenon_L353_); trivial. % 0.96/1.15 apply (zenon_L355_); trivial. % 0.96/1.15 (* end of lemma zenon_L356_ *) % 0.96/1.15 assert (zenon_L357_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a538)) -> (~(c3_1 (a538))) -> (~(c1_1 (a538))) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H173 zenon_H166 zenon_H164 zenon_H18a zenon_H189 zenon_H188 zenon_H16 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H3b zenon_H39 zenon_H3a zenon_H158. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 0.96/1.15 apply (zenon_L343_); trivial. % 0.96/1.15 apply (zenon_L92_); trivial. % 0.96/1.15 (* end of lemma zenon_L357_ *) % 0.96/1.15 assert (zenon_L358_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H191 zenon_H192 zenon_H10b zenon_H22e zenon_H9 zenon_H28f zenon_H2b2 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_He8 zenon_H158 zenon_H3a zenon_H39 zenon_H3b zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H166 zenon_H173. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.96/1.15 apply (zenon_L357_); trivial. % 0.96/1.15 apply (zenon_L356_); trivial. % 0.96/1.15 (* end of lemma zenon_L358_ *) % 0.96/1.15 assert (zenon_L359_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H195 zenon_H173 zenon_H10b zenon_H22e zenon_H9 zenon_H28f zenon_H2b2 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H174 zenon_H166 zenon_He8 zenon_H16 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H3b zenon_H39 zenon_H3a zenon_H158 zenon_H192. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 0.96/1.15 apply (zenon_L343_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 0.96/1.15 apply (zenon_L348_); trivial. % 0.96/1.15 apply (zenon_L351_); trivial. % 0.96/1.15 apply (zenon_L356_); trivial. % 0.96/1.15 apply (zenon_L358_); trivial. % 0.96/1.15 (* end of lemma zenon_L359_ *) % 0.96/1.15 assert (zenon_L360_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp22)) -> (~(c2_1 (a554))) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp21)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H108 zenon_He8 zenon_H1a zenon_H19 zenon_H18 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H1dc zenon_H28f zenon_H29f zenon_H29e zenon_H29d zenon_H174 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H164 zenon_H16a zenon_H16b zenon_H16c zenon_H3b zenon_H3a zenon_H39 zenon_H166 zenon_H168. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 0.96/1.15 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.15 apply (zenon_L339_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_L347_); trivial. % 0.96/1.15 (* end of lemma zenon_L360_ *) % 0.96/1.15 assert (zenon_L361_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1dc zenon_H29d zenon_H29f zenon_H29e zenon_H62 zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 0.96/1.15 apply (zenon_L315_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 0.96/1.15 apply (zenon_L57_); trivial. % 0.96/1.15 apply (zenon_L12_); trivial. % 0.96/1.15 (* end of lemma zenon_L361_ *) % 0.96/1.15 assert (zenon_L362_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H108 zenon_He8 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H28f zenon_H17c zenon_H17b zenon_H17a zenon_H1dc zenon_H29d zenon_H29f zenon_H29e zenon_H18 zenon_H19 zenon_H1a. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 0.96/1.15 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.15 apply (zenon_L339_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 0.96/1.15 apply (zenon_L315_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 0.96/1.15 apply (zenon_L352_); trivial. % 0.96/1.15 apply (zenon_L361_); trivial. % 0.96/1.15 (* end of lemma zenon_L362_ *) % 0.96/1.15 assert (zenon_L363_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H183 zenon_H10b zenon_H1dc zenon_H1a zenon_H19 zenon_H18 zenon_H28f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_He8. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 0.96/1.15 apply (zenon_L353_); trivial. % 0.96/1.15 apply (zenon_L362_); trivial. % 0.96/1.15 (* end of lemma zenon_L363_ *) % 0.96/1.15 assert (zenon_L364_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (ndr1_0) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a530)) -> (c2_1 (a530)) -> (~(c1_1 (a530))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H192 zenon_H158 zenon_H3a zenon_H39 zenon_H3b zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H16 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H2b2 zenon_H223 zenon_H21c zenon_H21b zenon_H1fa zenon_H28f zenon_H18 zenon_H19 zenon_H1a zenon_H1dc zenon_H174 zenon_H168 zenon_H166 zenon_H10b zenon_H173. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 0.96/1.15 apply (zenon_L343_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 0.96/1.15 apply (zenon_L338_); trivial. % 0.96/1.15 apply (zenon_L360_); trivial. % 0.96/1.15 apply (zenon_L363_); trivial. % 0.96/1.15 (* end of lemma zenon_L364_ *) % 0.96/1.15 assert (zenon_L365_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp5)) -> (~(hskp7)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H191 zenon_H11d zenon_He3 zenon_H11b. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H37 | zenon_intro zenon_H11e ]. % 0.96/1.15 apply (zenon_L91_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_He4 | zenon_intro zenon_H11c ]. % 0.96/1.15 exact (zenon_He3 zenon_He4). % 0.96/1.15 exact (zenon_H11b zenon_H11c). % 0.96/1.15 (* end of lemma zenon_L365_ *) % 0.96/1.15 assert (zenon_L366_ : ((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H22b zenon_H195 zenon_H11d zenon_H11b zenon_He3 zenon_H173 zenon_H10b zenon_H166 zenon_H174 zenon_H1dc zenon_H1a zenon_H19 zenon_H18 zenon_H28f zenon_H1fa zenon_H2b2 zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H3b zenon_H39 zenon_H3a zenon_H158 zenon_H192. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 0.96/1.15 apply (zenon_L364_); trivial. % 0.96/1.15 apply (zenon_L365_); trivial. % 0.96/1.15 (* end of lemma zenon_L366_ *) % 0.96/1.15 assert (zenon_L367_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H5e zenon_H36 zenon_H22a zenon_H11d zenon_H11b zenon_He3 zenon_H1dc zenon_H216 zenon_H2b zenon_H2e zenon_H33 zenon_H192 zenon_H158 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_He8 zenon_H166 zenon_H174 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_H2b2 zenon_H28f zenon_H22e zenon_H10b zenon_H173 zenon_H195. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.15 apply (zenon_L359_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 0.96/1.15 apply (zenon_L162_); trivial. % 0.96/1.15 apply (zenon_L366_); trivial. % 0.96/1.15 (* end of lemma zenon_L367_ *) % 0.96/1.15 assert (zenon_L368_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H61 zenon_H11d zenon_H11b zenon_He3 zenon_H192 zenon_H158 zenon_H166 zenon_H174 zenon_H22e zenon_H173 zenon_H195 zenon_Hd zenon_Hb zenon_H33 zenon_H2e zenon_H2b zenon_H20b zenon_H20c zenon_H20d zenon_H216 zenon_H10b zenon_H116 zenon_H1dc zenon_H28f zenon_H1fa zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H2b2 zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H22a zenon_H36. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.15 apply (zenon_L342_); trivial. % 0.96/1.15 apply (zenon_L367_); trivial. % 0.96/1.15 (* end of lemma zenon_L368_ *) % 0.96/1.15 assert (zenon_L369_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1a1 zenon_H36 zenon_H22a zenon_H29d zenon_H29e zenon_H29f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H28f zenon_H1dc zenon_H116 zenon_H10b zenon_H216 zenon_H2b zenon_H2e zenon_H33 zenon_H1fa zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_He8. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.15 apply (zenon_L174_); trivial. % 0.96/1.15 apply (zenon_L341_); trivial. % 0.96/1.15 (* end of lemma zenon_L369_ *) % 0.96/1.15 assert (zenon_L370_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H251 zenon_H1a0 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H13 zenon_Hd zenon_H192 zenon_H184 zenon_H174 zenon_H158 zenon_H166 zenon_H173 zenon_H195 zenon_H61 zenon_He8 zenon_H16 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H11 zenon_H7f. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 0.96/1.15 apply (zenon_L333_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.15 apply (zenon_L95_); trivial. % 0.96/1.15 apply (zenon_L329_); trivial. % 0.96/1.15 (* end of lemma zenon_L370_ *) % 0.96/1.15 assert (zenon_L371_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H116 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H62 zenon_H16 zenon_Hf. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H117 ]. % 0.96/1.15 apply (zenon_L150_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10c | zenon_intro zenon_H10 ]. % 0.96/1.15 apply (zenon_L242_); trivial. % 0.96/1.15 exact (zenon_Hf zenon_H10). % 0.96/1.15 (* end of lemma zenon_L371_ *) % 0.96/1.15 assert (zenon_L372_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H1fd zenon_H1fe zenon_H1ff zenon_H29d zenon_H29e zenon_H29f zenon_H116 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_He8 zenon_H1 zenon_Hb zenon_Hd. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.96/1.15 apply (zenon_L7_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.15 apply (zenon_L150_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_L371_); trivial. % 0.96/1.15 apply (zenon_L15_); trivial. % 0.96/1.15 (* end of lemma zenon_L372_ *) % 0.96/1.15 assert (zenon_L373_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H1fd zenon_H1fe zenon_H1ff zenon_H29d zenon_H29e zenon_H29f zenon_H116 zenon_He8 zenon_Hd zenon_H195 zenon_H173 zenon_H10b zenon_H22e zenon_H28f zenon_H2b2 zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H174 zenon_H166 zenon_H158 zenon_H192 zenon_H216 zenon_H1dc zenon_He3 zenon_H11b zenon_H11d zenon_H22a zenon_H61. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.15 apply (zenon_L372_); trivial. % 0.96/1.15 apply (zenon_L367_); trivial. % 0.96/1.15 apply (zenon_L329_); trivial. % 0.96/1.15 (* end of lemma zenon_L373_ *) % 0.96/1.15 assert (zenon_L374_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H252 zenon_H23e zenon_H184 zenon_H13 zenon_H251 zenon_H196 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H7f zenon_H61 zenon_H11d zenon_H11b zenon_He3 zenon_H192 zenon_H158 zenon_H166 zenon_H174 zenon_H22e zenon_H173 zenon_H195 zenon_Hd zenon_H33 zenon_H2e zenon_H2b zenon_H216 zenon_H10b zenon_H116 zenon_H1dc zenon_H28f zenon_H2b2 zenon_H22a zenon_H36 zenon_H1a0 zenon_H209. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.96/1.15 apply (zenon_L334_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.15 apply (zenon_L368_); trivial. % 0.96/1.15 apply (zenon_L369_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.96/1.15 apply (zenon_L370_); trivial. % 0.96/1.15 apply (zenon_L373_); trivial. % 0.96/1.15 (* end of lemma zenon_L374_ *) % 0.96/1.15 assert (zenon_L375_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp2)) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hb6 zenon_Hb7 zenon_H244 zenon_H243 zenon_H242 zenon_H1fa zenon_H29e zenon_H29f zenon_H29d zenon_H28f zenon_H2b. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 0.96/1.15 apply (zenon_L184_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 0.96/1.15 apply (zenon_L316_); trivial. % 0.96/1.15 exact (zenon_H2b zenon_H2c). % 0.96/1.15 (* end of lemma zenon_L375_ *) % 0.96/1.15 assert (zenon_L376_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hbc zenon_Hbd zenon_Hb7 zenon_H2b zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H28f zenon_H244 zenon_H243 zenon_H242 zenon_H1 zenon_H90. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.15 apply (zenon_L37_); trivial. % 0.96/1.15 apply (zenon_L375_); trivial. % 0.96/1.15 (* end of lemma zenon_L376_ *) % 0.96/1.15 assert (zenon_L377_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp9)) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (ndr1_0) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c0_1 (a498))) -> False). % 0.96/1.15 do 0 intro. intros zenon_He8 zenon_Hc1 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc3 zenon_H16 zenon_H29e zenon_H29f zenon_H72 zenon_H29d. % 0.96/1.15 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 0.96/1.15 apply (zenon_L48_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 0.96/1.15 apply (zenon_L313_); trivial. % 0.96/1.15 apply (zenon_L315_); trivial. % 0.96/1.15 (* end of lemma zenon_L377_ *) % 0.96/1.15 assert (zenon_L378_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_H39 zenon_H3a zenon_H3b zenon_H153 zenon_H16 zenon_Hb2. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 0.96/1.15 apply (zenon_L184_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 0.96/1.15 apply (zenon_L80_); trivial. % 0.96/1.15 exact (zenon_Hb2 zenon_Hb3). % 0.96/1.15 (* end of lemma zenon_L378_ *) % 0.96/1.15 assert (zenon_L379_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H5e zenon_H143 zenon_H276 zenon_Hb2 zenon_H270 zenon_Hc3 zenon_Hc1 zenon_H29d zenon_H29e zenon_H29f zenon_He8 zenon_H244 zenon_H243 zenon_H242 zenon_H63 zenon_H64 zenon_H65 zenon_Ha4. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.15 apply (zenon_L54_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 0.96/1.15 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 0.96/1.15 apply (zenon_L184_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 0.96/1.15 apply (zenon_L377_); trivial. % 0.96/1.15 apply (zenon_L378_); trivial. % 0.96/1.15 (* end of lemma zenon_L379_ *) % 0.96/1.15 assert (zenon_L380_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hbd zenon_Hb7 zenon_H2b zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H28f zenon_H244 zenon_H243 zenon_H242 zenon_H158 zenon_H156 zenon_H96 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H16 zenon_H1 zenon_H90. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.15 apply (zenon_L107_); trivial. % 0.96/1.15 apply (zenon_L375_); trivial. % 0.96/1.15 (* end of lemma zenon_L380_ *) % 0.96/1.15 assert (zenon_L381_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H37 zenon_H16 zenon_H17 zenon_H16b zenon_H16c. % 0.96/1.15 generalize (zenon_H37 (a554)). zenon_intro zenon_H2bd. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H2bd); [ zenon_intro zenon_H15 | zenon_intro zenon_H2be ]. % 0.96/1.15 exact (zenon_H15 zenon_H16). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H16f ]. % 0.96/1.15 apply (zenon_L115_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ]. % 0.96/1.15 exact (zenon_H16b zenon_H172). % 0.96/1.15 exact (zenon_H171 zenon_H16c). % 0.96/1.15 (* end of lemma zenon_L381_ *) % 0.96/1.15 assert (zenon_L382_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (c0_1 (a554)) -> (~(c3_1 (a554))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(hskp30)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp9)) -> (~(c0_1 (a559))) -> (~(c2_1 (a559))) -> (~(c3_1 (a559))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp1)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_H16c zenon_H16b zenon_H16 zenon_H196 zenon_H64 zenon_H63 zenon_H8e zenon_H1 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H96 zenon_H93 zenon_Ha2 zenon_H90 zenon_Hc1 zenon_H73 zenon_H74 zenon_H75 zenon_H1dc zenon_Hb2. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 0.96/1.15 apply (zenon_L184_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 0.96/1.15 apply (zenon_L31_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 0.96/1.15 apply (zenon_L131_); trivial. % 0.96/1.15 apply (zenon_L381_); trivial. % 0.96/1.15 exact (zenon_Hb2 zenon_Hb3). % 0.96/1.15 (* end of lemma zenon_L382_ *) % 0.96/1.15 assert (zenon_L383_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c0_1 (a559))) -> (~(c2_1 (a559))) -> (~(c3_1 (a559))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp2)) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hb6 zenon_Hb7 zenon_H244 zenon_H243 zenon_H242 zenon_H73 zenon_H74 zenon_H75 zenon_H28f zenon_H2b. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 0.96/1.15 apply (zenon_L184_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 0.96/1.15 apply (zenon_L268_); trivial. % 0.96/1.15 exact (zenon_H2b zenon_H2c). % 0.96/1.15 (* end of lemma zenon_L383_ *) % 0.96/1.15 assert (zenon_L384_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c0_1 (a554)) -> (~(c3_1 (a554))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H83 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H28f zenon_H242 zenon_H243 zenon_H244 zenon_H1dc zenon_H16c zenon_H16b zenon_H90 zenon_H1 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H93 zenon_H96 zenon_Ha2 zenon_Ha4 zenon_Hc1 zenon_H196 zenon_Hb2 zenon_H270 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 0.96/1.15 apply (zenon_L30_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 0.96/1.15 apply (zenon_L382_); trivial. % 0.96/1.15 apply (zenon_L383_); trivial. % 0.96/1.15 (* end of lemma zenon_L384_ *) % 0.96/1.15 assert (zenon_L385_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H7 zenon_H3 zenon_H173 zenon_Hc0 zenon_H70 zenon_H270 zenon_Hb2 zenon_H196 zenon_Hc1 zenon_Ha4 zenon_H1dc zenon_H83 zenon_H90 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H158 zenon_H242 zenon_H243 zenon_H244 zenon_H28f zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H2b zenon_Hb7 zenon_Hbd zenon_Hc3 zenon_He8 zenon_H143 zenon_H146. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 0.96/1.15 apply (zenon_L4_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 0.96/1.15 apply (zenon_L380_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.15 apply (zenon_L384_); trivial. % 0.96/1.15 apply (zenon_L376_); trivial. % 0.96/1.15 apply (zenon_L320_); trivial. % 0.96/1.15 apply (zenon_L321_); trivial. % 0.96/1.15 (* end of lemma zenon_L385_ *) % 0.96/1.15 assert (zenon_L386_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H23e zenon_H251 zenon_H196 zenon_H1c9 zenon_H47 zenon_H29f zenon_H29e zenon_H29d zenon_H16 zenon_Hc0 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H1fa zenon_H28f zenon_H244 zenon_H243 zenon_H242 zenon_H90 zenon_H70 zenon_H7f zenon_H83 zenon_Ha4 zenon_He8 zenon_Hc3 zenon_H270 zenon_Hb2 zenon_H276 zenon_H143 zenon_H61 zenon_H1a0 zenon_H146 zenon_H158 zenon_H1dc zenon_H173 zenon_H3 zenon_H7 zenon_H209. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 0.96/1.15 apply (zenon_L314_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 0.96/1.15 apply (zenon_L34_); trivial. % 1.00/1.15 apply (zenon_L376_); trivial. % 1.00/1.15 apply (zenon_L379_); trivial. % 1.00/1.15 apply (zenon_L322_); trivial. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.15 apply (zenon_L314_); trivial. % 1.00/1.15 apply (zenon_L385_); trivial. % 1.00/1.15 apply (zenon_L330_); trivial. % 1.00/1.15 (* end of lemma zenon_L386_ *) % 1.00/1.15 assert (zenon_L387_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp1)) -> False). % 1.00/1.15 do 0 intro. intros zenon_H5e zenon_H276 zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_He8 zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_Hb2. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.00/1.15 apply (zenon_L184_); trivial. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.00/1.15 apply (zenon_L332_); trivial. % 1.00/1.15 apply (zenon_L378_); trivial. % 1.00/1.15 (* end of lemma zenon_L387_ *) % 1.00/1.15 assert (zenon_L388_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.00/1.15 do 0 intro. intros zenon_H61 zenon_H276 zenon_Hb2 zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_Hd zenon_Hb zenon_H33 zenon_H2e zenon_H2b zenon_H20b zenon_H20c zenon_H20d zenon_H216 zenon_H10b zenon_H116 zenon_H1dc zenon_H28f zenon_H1fa zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H2b2 zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H22a zenon_H36. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.15 apply (zenon_L342_); trivial. % 1.00/1.15 apply (zenon_L387_); trivial. % 1.00/1.15 (* end of lemma zenon_L388_ *) % 1.00/1.15 assert (zenon_L389_ : ((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> False). % 1.00/1.15 do 0 intro. intros zenon_H255 zenon_H250 zenon_H1da zenon_H195 zenon_H166 zenon_H174 zenon_H184 zenon_H192 zenon_H13 zenon_H5b zenon_Hb4 zenon_H198 zenon_Hd zenon_H33 zenon_H2e zenon_H216 zenon_H10b zenon_H116 zenon_H2b2 zenon_H22a zenon_H36 zenon_H209 zenon_H7 zenon_H3 zenon_H173 zenon_H1dc zenon_H158 zenon_H146 zenon_H1a0 zenon_H61 zenon_H143 zenon_H276 zenon_Hb2 zenon_H270 zenon_Hc3 zenon_He8 zenon_Ha4 zenon_H83 zenon_H7f zenon_H70 zenon_H90 zenon_H28f zenon_H1fa zenon_H2b zenon_Hb7 zenon_Hbd zenon_Hc0 zenon_H29d zenon_H29e zenon_H29f zenon_H1c9 zenon_H196 zenon_H251 zenon_H23e. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.15 apply (zenon_L386_); trivial. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.15 apply (zenon_L334_); trivial. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.15 apply (zenon_L388_); trivial. % 1.00/1.15 apply (zenon_L385_); trivial. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.15 apply (zenon_L333_); trivial. % 1.00/1.15 apply (zenon_L210_); trivial. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.15 apply (zenon_L388_); trivial. % 1.00/1.15 apply (zenon_L156_); trivial. % 1.00/1.15 (* end of lemma zenon_L389_ *) % 1.00/1.15 assert (zenon_L390_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(hskp17)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 1.00/1.15 do 0 intro. intros zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_Ha2 zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H16 zenon_H63 zenon_H64 zenon_H65. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.00/1.15 apply (zenon_L313_); trivial. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.00/1.15 apply (zenon_L224_); trivial. % 1.00/1.15 apply (zenon_L27_); trivial. % 1.00/1.15 (* end of lemma zenon_L390_ *) % 1.00/1.15 assert (zenon_L391_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.15 do 0 intro. intros zenon_H1a1 zenon_H143 zenon_He8 zenon_Hc1 zenon_Hc3 zenon_H29d zenon_H29e zenon_H29f zenon_Ha4 zenon_H262 zenon_H261 zenon_H260 zenon_H1fa. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.15 apply (zenon_L390_); trivial. % 1.00/1.15 apply (zenon_L320_); trivial. % 1.00/1.15 (* end of lemma zenon_L391_ *) % 1.00/1.15 assert (zenon_L392_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.00/1.15 do 0 intro. intros zenon_H23e zenon_H1c9 zenon_H47 zenon_H29f zenon_H29e zenon_H29d zenon_H16 zenon_H1fa zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_Hc3 zenon_He8 zenon_H143 zenon_H1a0. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.15 apply (zenon_L314_); trivial. % 1.00/1.15 apply (zenon_L391_); trivial. % 1.00/1.15 apply (zenon_L330_); trivial. % 1.00/1.15 (* end of lemma zenon_L392_ *) % 1.00/1.15 assert (zenon_L393_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> False). % 1.00/1.15 do 0 intro. intros zenon_H24d zenon_H195 zenon_H11d zenon_H11b zenon_He3 zenon_H260 zenon_H261 zenon_H262 zenon_H174. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.15 apply (zenon_L233_); trivial. % 1.00/1.15 apply (zenon_L365_); trivial. % 1.00/1.15 (* end of lemma zenon_L393_ *) % 1.00/1.15 assert (zenon_L394_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> False). % 1.00/1.15 do 0 intro. intros zenon_H251 zenon_H195 zenon_H11d zenon_H11b zenon_He3 zenon_H260 zenon_H261 zenon_H262 zenon_H174 zenon_He8 zenon_H16 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H11 zenon_H7f. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.15 apply (zenon_L333_); trivial. % 1.00/1.15 apply (zenon_L393_); trivial. % 1.00/1.15 (* end of lemma zenon_L394_ *) % 1.00/1.15 assert (zenon_L395_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> False). % 1.00/1.15 do 0 intro. intros zenon_H252 zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_He8 zenon_H260 zenon_H261 zenon_H262. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.00/1.15 apply (zenon_L184_); trivial. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.00/1.15 apply (zenon_L332_); trivial. % 1.00/1.15 apply (zenon_L232_); trivial. % 1.00/1.15 (* end of lemma zenon_L395_ *) % 1.00/1.15 assert (zenon_L396_ : ((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> False). % 1.00/1.15 do 0 intro. intros zenon_H255 zenon_H250 zenon_H276 zenon_H1a0 zenon_H143 zenon_He8 zenon_Hc3 zenon_Ha4 zenon_H262 zenon_H261 zenon_H260 zenon_H1fa zenon_H29d zenon_H29e zenon_H29f zenon_H1c9 zenon_H23e. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.00/1.15 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.00/1.15 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.15 apply (zenon_L392_); trivial. % 1.00/1.15 apply (zenon_L395_); trivial. % 1.00/1.15 (* end of lemma zenon_L396_ *) % 1.00/1.15 assert (zenon_L397_ : ((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501)))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H27a zenon_H279 zenon_H276 zenon_H23e zenon_H1c9 zenon_H29f zenon_H29e zenon_H29d zenon_H1fa zenon_Ha4 zenon_Hc3 zenon_He8 zenon_H143 zenon_H1a0 zenon_H209 zenon_H36 zenon_H22a zenon_H2b2 zenon_H28f zenon_H1dc zenon_H116 zenon_H10b zenon_H216 zenon_H2b zenon_H2e zenon_H33 zenon_Hd zenon_H173 zenon_H22e zenon_H166 zenon_H158 zenon_H192 zenon_H61 zenon_H7f zenon_H174 zenon_He3 zenon_H11d zenon_H195 zenon_H251 zenon_H250. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.16 apply (zenon_L392_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.16 apply (zenon_L394_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L368_); trivial. % 1.00/1.16 apply (zenon_L391_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.16 apply (zenon_L394_); trivial. % 1.00/1.16 apply (zenon_L373_); trivial. % 1.00/1.16 apply (zenon_L396_); trivial. % 1.00/1.16 (* end of lemma zenon_L397_ *) % 1.00/1.16 assert (zenon_L398_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1d3 zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H63 zenon_H64 zenon_H65. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.00/1.16 apply (zenon_L313_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.00/1.16 apply (zenon_L123_); trivial. % 1.00/1.16 apply (zenon_L27_); trivial. % 1.00/1.16 (* end of lemma zenon_L398_ *) % 1.00/1.16 assert (zenon_L399_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(hskp9)) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H116 zenon_Hc1 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc3 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H62 zenon_H16 zenon_Hf. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H117 ]. % 1.00/1.16 apply (zenon_L48_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10c | zenon_intro zenon_H10 ]. % 1.00/1.16 apply (zenon_L242_); trivial. % 1.00/1.16 exact (zenon_Hf zenon_H10). % 1.00/1.16 (* end of lemma zenon_L399_ *) % 1.00/1.16 assert (zenon_L400_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_He7 zenon_H33 zenon_H2e zenon_H2b zenon_H1a zenon_H19 zenon_H18 zenon_Hc3 zenon_Hc1 zenon_H29d zenon_H29e zenon_H29f zenon_H116 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_He8. % 1.00/1.16 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.16 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.16 apply (zenon_L48_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.16 apply (zenon_L313_); trivial. % 1.00/1.16 apply (zenon_L399_); trivial. % 1.00/1.16 apply (zenon_L15_); trivial. % 1.00/1.16 (* end of lemma zenon_L400_ *) % 1.00/1.16 assert (zenon_L401_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp29)) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a505))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H23c zenon_Hef zenon_H20c zenon_H20d zenon_H62 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H2b2 zenon_H20b zenon_H1fa zenon_H29e zenon_H29f zenon_H29d zenon_H28f zenon_H27f zenon_H27e zenon_H27d zenon_H16 zenon_H11b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.16 apply (zenon_L331_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.16 apply (zenon_L172_); trivial. % 1.00/1.16 apply (zenon_L345_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.00/1.16 apply (zenon_L256_); trivial. % 1.00/1.16 exact (zenon_H11b zenon_H11c). % 1.00/1.16 (* end of lemma zenon_L401_ *) % 1.00/1.16 assert (zenon_L402_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp29)) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a505))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.00/1.16 do 0 intro. intros zenon_He8 zenon_H23c zenon_Hef zenon_H20c zenon_H20d zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H2b2 zenon_H20b zenon_H1fa zenon_H29e zenon_H29f zenon_H29d zenon_H28f zenon_H27f zenon_H27e zenon_H27d zenon_H16 zenon_H11b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.16 apply (zenon_L346_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.16 apply (zenon_L313_); trivial. % 1.00/1.16 apply (zenon_L401_); trivial. % 1.00/1.16 (* end of lemma zenon_L402_ *) % 1.00/1.16 assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp7)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H108 zenon_H23c zenon_H1a zenon_H19 zenon_H18 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29e zenon_H29f zenon_H29d zenon_H1dc zenon_H28f zenon_H27f zenon_H27e zenon_H27d zenon_H11b. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.00/1.16 apply (zenon_L339_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.00/1.16 apply (zenon_L256_); trivial. % 1.00/1.16 exact (zenon_H11b zenon_H11c). % 1.00/1.16 (* end of lemma zenon_L403_ *) % 1.00/1.16 assert (zenon_L404_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H32 zenon_H10b zenon_H1dc zenon_H28f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_He8. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.16 apply (zenon_L402_); trivial. % 1.00/1.16 apply (zenon_L403_); trivial. % 1.00/1.16 (* end of lemma zenon_L404_ *) % 1.00/1.16 assert (zenon_L405_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp15)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp7)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H108 zenon_H23c zenon_H9 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H1fa zenon_H29e zenon_H29f zenon_H29d zenon_H28f zenon_H27f zenon_H27e zenon_H27d zenon_H11b. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.00/1.16 apply (zenon_L350_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.00/1.16 apply (zenon_L256_); trivial. % 1.00/1.16 exact (zenon_H11b zenon_H11c). % 1.00/1.16 (* end of lemma zenon_L405_ *) % 1.00/1.16 assert (zenon_L406_ : ((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp22)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H175 zenon_H10b zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_H22e zenon_H9 zenon_H28f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H174 zenon_H168 zenon_H3b zenon_H3a zenon_H39 zenon_H164 zenon_H166 zenon_He8. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.16 apply (zenon_L348_); trivial. % 1.00/1.16 apply (zenon_L405_); trivial. % 1.00/1.16 (* end of lemma zenon_L406_ *) % 1.00/1.16 assert (zenon_L407_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H183 zenon_H10b zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_H22e zenon_H9 zenon_H28f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_He8. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.16 apply (zenon_L353_); trivial. % 1.00/1.16 apply (zenon_L405_); trivial. % 1.00/1.16 (* end of lemma zenon_L407_ *) % 1.00/1.16 assert (zenon_L408_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H191 zenon_H192 zenon_H10b zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_H22e zenon_H9 zenon_H28f zenon_H2b2 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_He8 zenon_H158 zenon_H3a zenon_H39 zenon_H3b zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H166 zenon_H173. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.16 apply (zenon_L357_); trivial. % 1.00/1.16 apply (zenon_L407_); trivial. % 1.00/1.16 (* end of lemma zenon_L408_ *) % 1.00/1.16 assert (zenon_L409_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H195 zenon_H173 zenon_H10b zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_H22e zenon_H9 zenon_H28f zenon_H2b2 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H174 zenon_H166 zenon_He8 zenon_H16 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H3b zenon_H39 zenon_H3a zenon_H158 zenon_H192. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.16 apply (zenon_L343_); trivial. % 1.00/1.16 apply (zenon_L406_); trivial. % 1.00/1.16 apply (zenon_L407_); trivial. % 1.00/1.16 apply (zenon_L408_); trivial. % 1.00/1.16 (* end of lemma zenon_L409_ *) % 1.00/1.16 assert (zenon_L410_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H108 zenon_He8 zenon_H1a zenon_H19 zenon_H18 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H1dc zenon_H28f zenon_H29f zenon_H29e zenon_H29d zenon_H63 zenon_H64 zenon_H65. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.16 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.16 apply (zenon_L339_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.16 apply (zenon_L313_); trivial. % 1.00/1.16 apply (zenon_L27_); trivial. % 1.00/1.16 (* end of lemma zenon_L410_ *) % 1.00/1.16 assert (zenon_L411_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1a1 zenon_H36 zenon_H10b zenon_H1dc zenon_H28f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H29d zenon_H29e zenon_H29f zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_H1fa zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_He8. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.16 apply (zenon_L174_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.16 apply (zenon_L402_); trivial. % 1.00/1.16 apply (zenon_L410_); trivial. % 1.00/1.16 (* end of lemma zenon_L411_ *) % 1.00/1.16 assert (zenon_L412_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H252 zenon_H23e zenon_H251 zenon_H196 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H7f zenon_H61 zenon_H192 zenon_H158 zenon_H166 zenon_H174 zenon_H22e zenon_H173 zenon_H195 zenon_Hd zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c zenon_H2b2 zenon_H28f zenon_H1dc zenon_H10b zenon_H36 zenon_H1a0 zenon_H209. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.16 apply (zenon_L334_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.16 apply (zenon_L7_); trivial. % 1.00/1.16 apply (zenon_L404_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.16 apply (zenon_L409_); trivial. % 1.00/1.16 apply (zenon_L404_); trivial. % 1.00/1.16 apply (zenon_L411_); trivial. % 1.00/1.16 apply (zenon_L295_); trivial. % 1.00/1.16 (* end of lemma zenon_L412_ *) % 1.00/1.16 assert (zenon_L413_ : ((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501)))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H27a zenon_H279 zenon_H276 zenon_H23e zenon_H1c9 zenon_H29f zenon_H29e zenon_H29d zenon_H1fa zenon_Ha4 zenon_Hc3 zenon_He8 zenon_H143 zenon_H1a0 zenon_H209 zenon_H36 zenon_H10b zenon_H1dc zenon_H28f zenon_H2b2 zenon_H23c zenon_H27f zenon_H27e zenon_H27d zenon_Hd zenon_H195 zenon_H173 zenon_H22e zenon_H174 zenon_H166 zenon_H158 zenon_H192 zenon_H61 zenon_H7f zenon_H196 zenon_H251 zenon_H250. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.16 apply (zenon_L392_); trivial. % 1.00/1.16 apply (zenon_L412_); trivial. % 1.00/1.16 apply (zenon_L396_); trivial. % 1.00/1.16 (* end of lemma zenon_L413_ *) % 1.00/1.16 assert (zenon_L414_ : ((ndr1_0)/\((c0_1 (a499))/\((c2_1 (a499))/\(~(c1_1 (a499)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H2bf zenon_H278 zenon_H250 zenon_H166 zenon_H174 zenon_H195 zenon_Hd zenon_H2b2 zenon_H10b zenon_H209 zenon_H23c zenon_H144 zenon_H198 zenon_H1f1 zenon_H173 zenon_H1dc zenon_H1c3 zenon_H158 zenon_H19e zenon_H5b zenon_Hb4 zenon_Hb2 zenon_H28d zenon_H192 zenon_H22e zenon_H1fc zenon_H116 zenon_H2e zenon_H33 zenon_H36 zenon_H1a0 zenon_H61 zenon_H7 zenon_Hc0 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H1fa zenon_H28f zenon_Ha4 zenon_H90 zenon_H70 zenon_H7f zenon_H83 zenon_Hc3 zenon_He8 zenon_H143 zenon_H146 zenon_H29d zenon_H29e zenon_H29f zenon_H1c9 zenon_H196 zenon_H251 zenon_H23e zenon_H270 zenon_H276 zenon_H22a zenon_H216 zenon_H13 zenon_H184 zenon_H1da zenon_H279. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.16 apply (zenon_L323_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L314_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.16 apply (zenon_L4_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.16 apply (zenon_L290_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.16 apply (zenon_L283_); trivial. % 1.00/1.16 apply (zenon_L398_); trivial. % 1.00/1.16 apply (zenon_L400_); trivial. % 1.00/1.16 apply (zenon_L321_); trivial. % 1.00/1.16 apply (zenon_L295_); trivial. % 1.00/1.16 apply (zenon_L412_); trivial. % 1.00/1.16 apply (zenon_L389_); trivial. % 1.00/1.16 apply (zenon_L413_); trivial. % 1.00/1.16 (* end of lemma zenon_L414_ *) % 1.00/1.16 assert (zenon_L415_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1de zenon_H16 zenon_H2c2 zenon_H2c3 zenon_H2c4. % 1.00/1.16 generalize (zenon_H1de (a497)). zenon_intro zenon_H2c5. % 1.00/1.16 apply (zenon_imply_s _ _ zenon_H2c5); [ zenon_intro zenon_H15 | zenon_intro zenon_H2c6 ]. % 1.00/1.16 exact (zenon_H15 zenon_H16). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2c7 ]. % 1.00/1.16 exact (zenon_H2c2 zenon_H2c8). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2c9 ]. % 1.00/1.16 exact (zenon_H2c3 zenon_H2ca). % 1.00/1.16 exact (zenon_H2c9 zenon_H2c4). % 1.00/1.16 (* end of lemma zenon_L415_ *) % 1.00/1.16 assert (zenon_L416_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp6)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1e2 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H16 zenon_Hf zenon_H3. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1de | zenon_intro zenon_H1e3 ]. % 1.00/1.16 apply (zenon_L415_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H10 | zenon_intro zenon_H4 ]. % 1.00/1.16 exact (zenon_Hf zenon_H10). % 1.00/1.16 exact (zenon_H3 zenon_H4). % 1.00/1.16 (* end of lemma zenon_L416_ *) % 1.00/1.16 assert (zenon_L417_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H32 zenon_H33 zenon_H2e zenon_H2b zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.16 apply (zenon_L416_); trivial. % 1.00/1.16 apply (zenon_L15_); trivial. % 1.00/1.16 (* end of lemma zenon_L417_ *) % 1.00/1.16 assert (zenon_L418_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_H1 zenon_Hb zenon_Hd. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.16 apply (zenon_L7_); trivial. % 1.00/1.16 apply (zenon_L417_); trivial. % 1.00/1.16 (* end of lemma zenon_L418_ *) % 1.00/1.16 assert (zenon_L419_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H61 zenon_H5b zenon_H57 zenon_H47 zenon_H4b zenon_H5c zenon_Hd zenon_Hb zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2b zenon_H2e zenon_H33 zenon_H36. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_L418_); trivial. % 1.00/1.16 apply (zenon_L25_); trivial. % 1.00/1.16 (* end of lemma zenon_L419_ *) % 1.00/1.16 assert (zenon_L420_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W))))) -> (~(c3_1 (a527))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H291 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H96 zenon_H95 zenon_H94 zenon_H93 zenon_H16 zenon_H4b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.00/1.16 apply (zenon_L415_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.00/1.16 apply (zenon_L38_); trivial. % 1.00/1.16 exact (zenon_H4b zenon_H4c). % 1.00/1.16 (* end of lemma zenon_L420_ *) % 1.00/1.16 assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp5)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H56 zenon_H1f8 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_He3. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 1.00/1.16 apply (zenon_L415_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 1.00/1.16 apply (zenon_L22_); trivial. % 1.00/1.16 exact (zenon_He3 zenon_He4). % 1.00/1.16 (* end of lemma zenon_L421_ *) % 1.00/1.16 assert (zenon_L422_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> False). % 1.00/1.16 do 0 intro. intros zenon_Hb6 zenon_H5b zenon_H1f8 zenon_He3 zenon_H291 zenon_H4b zenon_H96 zenon_H95 zenon_H93 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 1.00/1.16 apply (zenon_L420_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 1.00/1.16 apply (zenon_L43_); trivial. % 1.00/1.16 exact (zenon_H2b zenon_H2c). % 1.00/1.16 apply (zenon_L421_); trivial. % 1.00/1.16 (* end of lemma zenon_L422_ *) % 1.00/1.16 assert (zenon_L423_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> False). % 1.00/1.16 do 0 intro. intros zenon_Hbc zenon_Hbd zenon_H5b zenon_H1f8 zenon_He3 zenon_H291 zenon_H4b zenon_H96 zenon_H95 zenon_H93 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H1 zenon_H90. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 1.00/1.16 apply (zenon_L37_); trivial. % 1.00/1.16 apply (zenon_L422_); trivial. % 1.00/1.16 (* end of lemma zenon_L423_ *) % 1.00/1.16 assert (zenon_L424_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp4)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H5e zenon_H291 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H4b. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.00/1.16 apply (zenon_L415_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.00/1.16 apply (zenon_L53_); trivial. % 1.00/1.16 exact (zenon_H4b zenon_H4c). % 1.00/1.16 (* end of lemma zenon_L424_ *) % 1.00/1.16 assert (zenon_L425_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H61 zenon_H291 zenon_H4b zenon_Hd zenon_Hb zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2b zenon_H2e zenon_H33 zenon_H36. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_L418_); trivial. % 1.00/1.16 apply (zenon_L424_); trivial. % 1.00/1.16 (* end of lemma zenon_L425_ *) % 1.00/1.16 assert (zenon_L426_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H13f zenon_Hc0 zenon_Hbd zenon_H5b zenon_H291 zenon_H4b zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H1e2 zenon_H3 zenon_H93 zenon_H95 zenon_H96 zenon_Ha2 zenon_Ha4 zenon_H1dc zenon_H198 zenon_H47 zenon_H1f1 zenon_He3 zenon_H1f8 zenon_H33 zenon_H83. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.16 apply (zenon_L147_); trivial. % 1.00/1.16 apply (zenon_L423_); trivial. % 1.00/1.16 (* end of lemma zenon_L426_ *) % 1.00/1.16 assert (zenon_L427_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a559))) -> (~(c2_1 (a559))) -> (~(c0_1 (a559))) -> (c1_1 (a514)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a514))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c2_1 (a554))) -> (c0_1 (a554)) -> (~(c3_1 (a554))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp19)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1dc zenon_H75 zenon_H74 zenon_H73 zenon_H64 zenon_Hda zenon_H63 zenon_H1c3 zenon_H16a zenon_H16c zenon_H16b zenon_H16 zenon_H1c1 zenon_H104. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.16 apply (zenon_L31_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.16 apply (zenon_L49_); trivial. % 1.00/1.16 apply (zenon_L132_); trivial. % 1.00/1.16 (* end of lemma zenon_L427_ *) % 1.00/1.16 assert (zenon_L428_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp9)) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp19)) -> (~(hskp18)) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> (~(c2_1 (a554))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H7e zenon_He8 zenon_Hc1 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc3 zenon_H104 zenon_H1c1 zenon_H16b zenon_H16c zenon_H16a zenon_H1c3 zenon_H1dc zenon_H63 zenon_H64 zenon_H65. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.00/1.16 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.16 apply (zenon_L48_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.16 apply (zenon_L427_); trivial. % 1.00/1.16 apply (zenon_L27_); trivial. % 1.00/1.16 (* end of lemma zenon_L428_ *) % 1.00/1.16 assert (zenon_L429_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(hskp19)) -> (~(hskp18)) -> (~(c2_1 (a554))) -> (c0_1 (a554)) -> (~(c3_1 (a554))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H83 zenon_He8 zenon_H1c3 zenon_H104 zenon_H1c1 zenon_H16a zenon_H16c zenon_H16b zenon_H1dc zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc1 zenon_Hc3 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.16 apply (zenon_L30_); trivial. % 1.00/1.16 apply (zenon_L428_); trivial. % 1.00/1.16 (* end of lemma zenon_L429_ *) % 1.00/1.16 assert (zenon_L430_ : ((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp18)) -> (~(hskp19)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H175 zenon_Hc0 zenon_Hbd zenon_H5b zenon_H1f8 zenon_He3 zenon_H291 zenon_H4b zenon_H96 zenon_H95 zenon_H93 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hb4 zenon_Hb2 zenon_H2b zenon_Hb7 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_Hc3 zenon_Hc1 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_H1dc zenon_H1c1 zenon_H104 zenon_H1c3 zenon_He8 zenon_H83. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.16 apply (zenon_L429_); trivial. % 1.00/1.16 apply (zenon_L423_); trivial. % 1.00/1.16 (* end of lemma zenon_L430_ *) % 1.00/1.16 assert (zenon_L431_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a527))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_He7 zenon_H1fc zenon_H1fa zenon_H173 zenon_H1f8 zenon_He3 zenon_H291 zenon_H4b zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hc3 zenon_Hc1 zenon_H1dc zenon_H1c3 zenon_He8 zenon_H83 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H28f zenon_H95 zenon_H158 zenon_H96 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H1 zenon_H90 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_Hb2 zenon_Hb4 zenon_H5b zenon_Hc0 zenon_He5 zenon_H144. % 1.00/1.16 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.16 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.16 apply (zenon_L274_); trivial. % 1.00/1.16 apply (zenon_L430_); trivial. % 1.00/1.16 apply (zenon_L76_); trivial. % 1.00/1.16 apply (zenon_L148_); trivial. % 1.00/1.16 (* end of lemma zenon_L431_ *) % 1.00/1.16 assert (zenon_L432_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1a1 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_H1fa zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_He8. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.16 apply (zenon_L174_); trivial. % 1.00/1.16 apply (zenon_L417_); trivial. % 1.00/1.16 (* end of lemma zenon_L432_ *) % 1.00/1.16 assert (zenon_L433_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H252 zenon_H1a0 zenon_H1fa zenon_H22e zenon_He8 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_Hd zenon_H4b zenon_H291 zenon_H61. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L425_); trivial. % 1.00/1.16 apply (zenon_L432_); trivial. % 1.00/1.16 (* end of lemma zenon_L433_ *) % 1.00/1.16 assert (zenon_L434_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (~(hskp31)) -> (~(hskp1)) -> False). % 1.00/1.16 do 0 intro. intros zenon_Hb4 zenon_H262 zenon_H261 zenon_H260 zenon_H16 zenon_H92 zenon_H49 zenon_Hb2. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb5 ]. % 1.00/1.16 apply (zenon_L223_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H4a | zenon_intro zenon_Hb3 ]. % 1.00/1.16 exact (zenon_H49 zenon_H4a). % 1.00/1.16 exact (zenon_Hb2 zenon_Hb3). % 1.00/1.16 (* end of lemma zenon_L434_ *) % 1.00/1.16 assert (zenon_L435_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp1)) -> (~(hskp31)) -> (ndr1_0) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp4)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H291 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hb2 zenon_H49 zenon_H16 zenon_H260 zenon_H261 zenon_H262 zenon_Hb4 zenon_H4b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.00/1.16 apply (zenon_L415_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.00/1.16 apply (zenon_L434_); trivial. % 1.00/1.16 exact (zenon_H4b zenon_H4c). % 1.00/1.16 (* end of lemma zenon_L435_ *) % 1.00/1.16 assert (zenon_L436_ : ((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H27a zenon_H5b zenon_H1f8 zenon_He3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hb4 zenon_Hb2 zenon_H4b zenon_H291. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.16 apply (zenon_L435_); trivial. % 1.00/1.16 apply (zenon_L421_); trivial. % 1.00/1.16 (* end of lemma zenon_L436_ *) % 1.00/1.16 assert (zenon_L437_ : ((~(hskp6))\/((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H278 zenon_H23e zenon_H251 zenon_H195 zenon_H173 zenon_H166 zenon_H158 zenon_H174 zenon_H184 zenon_H192 zenon_H198 zenon_H196 zenon_H61 zenon_H5b zenon_H57 zenon_H4b zenon_H5c zenon_Hd zenon_H1e2 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2b zenon_H2e zenon_H33 zenon_H36 zenon_H146 zenon_Hc0 zenon_Hbd zenon_H1f8 zenon_He3 zenon_H291 zenon_Hb4 zenon_Hb2 zenon_Hb7 zenon_H90 zenon_H70 zenon_H7f zenon_H83 zenon_H7 zenon_H1a0 zenon_H1fc zenon_H22e zenon_H1fa zenon_H19e zenon_H1dc zenon_H1c3 zenon_Ha4 zenon_H28f zenon_H1f1 zenon_H144 zenon_He5 zenon_He8 zenon_Hc3 zenon_H143 zenon_H209 zenon_H250. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L419_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.16 apply (zenon_L4_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.16 apply (zenon_L34_); trivial. % 1.00/1.16 apply (zenon_L423_); trivial. % 1.00/1.16 apply (zenon_L424_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L425_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.16 apply (zenon_L4_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.16 apply (zenon_L98_); trivial. % 1.00/1.16 apply (zenon_L423_); trivial. % 1.00/1.16 apply (zenon_L94_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L419_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.16 apply (zenon_L4_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.16 apply (zenon_L274_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.16 apply (zenon_L30_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 1.00/1.16 apply (zenon_L133_); trivial. % 1.00/1.16 apply (zenon_L422_); trivial. % 1.00/1.16 apply (zenon_L45_); trivial. % 1.00/1.16 apply (zenon_L426_); trivial. % 1.00/1.16 apply (zenon_L289_); trivial. % 1.00/1.16 apply (zenon_L431_); trivial. % 1.00/1.16 apply (zenon_L417_); trivial. % 1.00/1.16 apply (zenon_L424_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L419_); trivial. % 1.00/1.16 apply (zenon_L151_); trivial. % 1.00/1.16 apply (zenon_L433_); trivial. % 1.00/1.16 apply (zenon_L436_); trivial. % 1.00/1.16 (* end of lemma zenon_L437_ *) % 1.00/1.16 assert (zenon_L438_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H195 zenon_H173 zenon_H166 zenon_H158 zenon_H174 zenon_H192 zenon_H184 zenon_H11 zenon_H83 zenon_H198 zenon_H3 zenon_H14a zenon_H14b zenon_H14c zenon_Hc1 zenon_H196 zenon_H70 zenon_H90 zenon_H19e zenon_Hbd zenon_Hc0 zenon_Hc3 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c zenon_H143. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.16 apply (zenon_L103_); trivial. % 1.00/1.16 apply (zenon_L257_); trivial. % 1.00/1.16 apply (zenon_L94_); trivial. % 1.00/1.16 (* end of lemma zenon_L438_ *) % 1.00/1.16 assert (zenon_L439_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H251 zenon_H195 zenon_H173 zenon_H166 zenon_H158 zenon_H174 zenon_H192 zenon_H184 zenon_H198 zenon_H196 zenon_H19e zenon_H61 zenon_H5b zenon_H57 zenon_H47 zenon_H4b zenon_H5c zenon_Hd zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2b zenon_H2e zenon_H33 zenon_H36 zenon_H146 zenon_H143 zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_Hc1 zenon_Hc3 zenon_H83 zenon_H7f zenon_H11 zenon_H70 zenon_H90 zenon_Hb7 zenon_Hb2 zenon_Hb4 zenon_Ha4 zenon_Hbd zenon_Hc0 zenon_H7 zenon_H1a0. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L419_); trivial. % 1.00/1.16 apply (zenon_L259_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L419_); trivial. % 1.00/1.16 apply (zenon_L438_); trivial. % 1.00/1.16 (* end of lemma zenon_L439_ *) % 1.00/1.16 assert (zenon_L440_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H61 zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_H5c zenon_H4b zenon_Hb7 zenon_Hd zenon_Hb zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2b zenon_H2e zenon_H33 zenon_H36. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_L418_); trivial. % 1.00/1.16 apply (zenon_L186_); trivial. % 1.00/1.16 (* end of lemma zenon_L440_ *) % 1.00/1.16 assert (zenon_L441_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_H291 zenon_H83 zenon_H198 zenon_Hc1 zenon_H196 zenon_H70 zenon_H90 zenon_Hb2 zenon_Hb4 zenon_Hbd zenon_Hc0 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_Hd zenon_Hb7 zenon_H4b zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_H61. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L440_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_L193_); trivial. % 1.00/1.16 apply (zenon_L424_); trivial. % 1.00/1.16 (* end of lemma zenon_L441_ *) % 1.00/1.16 assert (zenon_L442_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H251 zenon_H198 zenon_Hc1 zenon_H196 zenon_H61 zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_H5c zenon_H4b zenon_Hb7 zenon_Hd zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2b zenon_H2e zenon_H33 zenon_H36 zenon_Hc0 zenon_Hbd zenon_Hb4 zenon_Hb2 zenon_H90 zenon_H70 zenon_H11 zenon_H7f zenon_H83 zenon_H291 zenon_H1a0. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L440_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_L190_); trivial. % 1.00/1.16 apply (zenon_L424_); trivial. % 1.00/1.16 apply (zenon_L441_); trivial. % 1.00/1.16 (* end of lemma zenon_L442_ *) % 1.00/1.16 assert (zenon_L443_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> (~(hskp24)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(c1_1 (a527))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_Hc0 zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_Hb4 zenon_Hb2 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H90 zenon_H1 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H93 zenon_H96 zenon_H156 zenon_H158 zenon_H95 zenon_H28f zenon_H2b zenon_Hb7 zenon_Hbd zenon_H83. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.16 apply (zenon_L270_); trivial. % 1.00/1.16 apply (zenon_L189_); trivial. % 1.00/1.16 (* end of lemma zenon_L443_ *) % 1.00/1.16 assert (zenon_L444_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H13f zenon_Hc0 zenon_Hbd zenon_H5b zenon_Hb4 zenon_Hb2 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H242 zenon_H243 zenon_H244 zenon_H1dc zenon_H198 zenon_H47 zenon_H1f1 zenon_H2b zenon_Hb7 zenon_H33 zenon_H83. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.16 apply (zenon_L30_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.16 apply (zenon_L416_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 1.00/1.16 apply (zenon_L184_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 1.00/1.16 apply (zenon_L144_); trivial. % 1.00/1.16 exact (zenon_H2b zenon_H2c). % 1.00/1.16 apply (zenon_L189_); trivial. % 1.00/1.16 (* end of lemma zenon_L444_ *) % 1.00/1.16 assert (zenon_L445_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a527))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_He7 zenon_H1fc zenon_H173 zenon_Hc3 zenon_Hc1 zenon_H1dc zenon_H1c3 zenon_He8 zenon_H83 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H28f zenon_H95 zenon_H158 zenon_H96 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H1 zenon_H90 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_Hb2 zenon_Hb4 zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_Hc0 zenon_H33 zenon_H1f1 zenon_H47 zenon_H198 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_H144. % 1.00/1.16 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.16 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.16 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.16 apply (zenon_L443_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.16 apply (zenon_L429_); trivial. % 1.00/1.16 apply (zenon_L189_); trivial. % 1.00/1.16 apply (zenon_L444_); trivial. % 1.00/1.16 apply (zenon_L204_); trivial. % 1.00/1.16 (* end of lemma zenon_L445_ *) % 1.00/1.16 assert (zenon_L446_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H5c zenon_H4b zenon_H83 zenon_He8 zenon_H3 zenon_H198 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H70 zenon_H90 zenon_Hb7 zenon_H2b zenon_Hb2 zenon_Hb4 zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_Hbd zenon_Hc0. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_L208_); trivial. % 1.00/1.16 apply (zenon_L186_); trivial. % 1.00/1.16 (* end of lemma zenon_L446_ *) % 1.00/1.16 assert (zenon_L447_ : ((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H23f zenon_H1a0 zenon_H83 zenon_He8 zenon_H198 zenon_H70 zenon_H90 zenon_Hb2 zenon_Hb4 zenon_Hbd zenon_Hc0 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_Hd zenon_Hb7 zenon_H4b zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_H61. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L440_); trivial. % 1.00/1.16 apply (zenon_L446_); trivial. % 1.00/1.16 (* end of lemma zenon_L447_ *) % 1.00/1.16 assert (zenon_L448_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H252 zenon_H1a0 zenon_H1fa zenon_H22e zenon_He8 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_Hd zenon_Hb7 zenon_H4b zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_H61. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L440_); trivial. % 1.00/1.16 apply (zenon_L432_); trivial. % 1.00/1.16 (* end of lemma zenon_L448_ *) % 1.00/1.16 assert (zenon_L449_ : ((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H255 zenon_H250 zenon_H1fa zenon_H22e zenon_H209 zenon_H7 zenon_H1fc zenon_H192 zenon_H28d zenon_H27d zenon_H27e zenon_H27f zenon_H19e zenon_H158 zenon_H28f zenon_Ha4 zenon_H1c3 zenon_H1dc zenon_H173 zenon_H1f1 zenon_H144 zenon_He8 zenon_Hc3 zenon_H143 zenon_H146 zenon_H1a0 zenon_H291 zenon_H83 zenon_H7f zenon_H70 zenon_H90 zenon_Hb2 zenon_Hb4 zenon_Hbd zenon_Hc0 zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_Hd zenon_Hb7 zenon_H4b zenon_H5c zenon_H5b zenon_H61 zenon_H196 zenon_H198 zenon_H251 zenon_H23e. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.16 apply (zenon_L442_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L440_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.16 apply (zenon_L4_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.16 apply (zenon_L272_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.16 apply (zenon_L443_); trivial. % 1.00/1.16 apply (zenon_L275_); trivial. % 1.00/1.16 apply (zenon_L444_); trivial. % 1.00/1.16 apply (zenon_L204_); trivial. % 1.00/1.16 apply (zenon_L445_); trivial. % 1.00/1.16 apply (zenon_L186_); trivial. % 1.00/1.16 apply (zenon_L447_); trivial. % 1.00/1.16 apply (zenon_L448_); trivial. % 1.00/1.16 (* end of lemma zenon_L449_ *) % 1.00/1.16 assert (zenon_L450_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (ndr1_0) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H5b zenon_H57 zenon_H47 zenon_Hb zenon_H16 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hb4 zenon_Hb2 zenon_H262 zenon_H261 zenon_H260 zenon_H4b zenon_H291. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.16 apply (zenon_L435_); trivial. % 1.00/1.16 apply (zenon_L23_); trivial. % 1.00/1.16 (* end of lemma zenon_L450_ *) % 1.00/1.16 assert (zenon_L451_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H183 zenon_H291 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H65 zenon_H64 zenon_H63 zenon_H260 zenon_H261 zenon_H262 zenon_H22e zenon_H9 zenon_H1fa zenon_H4b. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.00/1.16 apply (zenon_L415_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.00/1.16 apply (zenon_L222_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.00/1.16 apply (zenon_L223_); trivial. % 1.00/1.16 apply (zenon_L27_); trivial. % 1.00/1.16 exact (zenon_H4b zenon_H4c). % 1.00/1.16 (* end of lemma zenon_L451_ *) % 1.00/1.16 assert (zenon_L452_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp4)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H183 zenon_H291 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1a zenon_H19 zenon_H18 zenon_H27d zenon_H27e zenon_H27f zenon_H28d zenon_H4b. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.00/1.16 apply (zenon_L415_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.00/1.16 apply (zenon_L291_); trivial. % 1.00/1.16 exact (zenon_H4b zenon_H4c). % 1.00/1.16 (* end of lemma zenon_L452_ *) % 1.00/1.16 assert (zenon_L453_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1fa zenon_Hd9 zenon_H262 zenon_H261 zenon_H260 zenon_H92 zenon_H16 zenon_H63 zenon_H64 zenon_H65. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.00/1.16 apply (zenon_L49_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.00/1.16 apply (zenon_L223_); trivial. % 1.00/1.16 apply (zenon_L27_); trivial. % 1.00/1.16 (* end of lemma zenon_L453_ *) % 1.00/1.16 assert (zenon_L454_ : (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70)))))) -> (ndr1_0) -> (~(c2_1 (a510))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (~(c1_1 (a510))) -> (c0_1 (a510)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H159 zenon_H16 zenon_H14b zenon_H10c zenon_H14a zenon_H14c. % 1.00/1.16 generalize (zenon_H159 (a510)). zenon_intro zenon_H15c. % 1.00/1.16 apply (zenon_imply_s _ _ zenon_H15c); [ zenon_intro zenon_H15 | zenon_intro zenon_H15d ]. % 1.00/1.16 exact (zenon_H15 zenon_H16). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H152 | zenon_intro zenon_H15e ]. % 1.00/1.16 exact (zenon_H14b zenon_H152). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H15f | zenon_intro zenon_H151 ]. % 1.00/1.16 generalize (zenon_H10c (a510)). zenon_intro zenon_H2cb. % 1.00/1.16 apply (zenon_imply_s _ _ zenon_H2cb); [ zenon_intro zenon_H15 | zenon_intro zenon_H2cc ]. % 1.00/1.16 exact (zenon_H15 zenon_H16). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H150 | zenon_intro zenon_H162 ]. % 1.00/1.16 exact (zenon_H14a zenon_H150). % 1.00/1.16 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H151 | zenon_intro zenon_H163 ]. % 1.00/1.16 exact (zenon_H151 zenon_H14c). % 1.00/1.16 exact (zenon_H163 zenon_H15f). % 1.00/1.16 exact (zenon_H151 zenon_H14c). % 1.00/1.16 (* end of lemma zenon_L454_ *) % 1.00/1.16 assert (zenon_L455_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (c0_1 (a538)) -> (~(c3_1 (a538))) -> (~(c1_1 (a538))) -> (c0_1 (a510)) -> (~(c1_1 (a510))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (~(c2_1 (a510))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H166 zenon_H18a zenon_H189 zenon_H188 zenon_H14c zenon_H14a zenon_H10c zenon_H14b zenon_H16 zenon_H164. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H37 | zenon_intro zenon_H167 ]. % 1.00/1.16 apply (zenon_L91_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H159 | zenon_intro zenon_H165 ]. % 1.00/1.16 apply (zenon_L454_); trivial. % 1.00/1.16 exact (zenon_H164 zenon_H165). % 1.00/1.16 (* end of lemma zenon_L455_ *) % 1.00/1.16 assert (zenon_L456_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (~(hskp22)) -> (ndr1_0) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (c0_1 (a510)) -> (~(c1_1 (a538))) -> (~(c3_1 (a538))) -> (c0_1 (a538)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp8)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1f1 zenon_H261 zenon_H260 zenon_H17 zenon_H164 zenon_H16 zenon_H14b zenon_H14a zenon_H14c zenon_H188 zenon_H189 zenon_H18a zenon_H166 zenon_H47. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.00/1.16 apply (zenon_L303_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.00/1.16 apply (zenon_L455_); trivial. % 1.00/1.16 exact (zenon_H47 zenon_H48). % 1.00/1.16 (* end of lemma zenon_L456_ *) % 1.00/1.16 assert (zenon_L457_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp22)) -> (c0_1 (a510)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a538)) -> (~(c3_1 (a538))) -> (~(c1_1 (a538))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H19e zenon_Ha2 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1dc zenon_H166 zenon_H164 zenon_H14c zenon_H14a zenon_H14b zenon_H18a zenon_H189 zenon_H188 zenon_H47 zenon_H1f1 zenon_H260 zenon_H261 zenon_H262 zenon_H1fa zenon_H4b zenon_H291 zenon_H83. % 1.00/1.16 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.16 apply (zenon_L30_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.00/1.16 apply (zenon_L415_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.16 apply (zenon_L31_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.16 apply (zenon_L453_); trivial. % 1.00/1.16 apply (zenon_L456_); trivial. % 1.00/1.16 exact (zenon_H4b zenon_H4c). % 1.00/1.16 apply (zenon_L101_); trivial. % 1.00/1.16 (* end of lemma zenon_L457_ *) % 1.00/1.16 assert (zenon_L458_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> False). % 1.00/1.16 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_H61 zenon_Ha4 zenon_H143 zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_Hc1 zenon_Hc3 zenon_H174 zenon_Hc0 zenon_Hbd zenon_H19e zenon_H90 zenon_H70 zenon_H1dc zenon_H166 zenon_H1f1 zenon_H1fa zenon_H83 zenon_H22e zenon_H192 zenon_H195 zenon_H28d zenon_H36 zenon_H291 zenon_H4b zenon_H260 zenon_H261 zenon_H262 zenon_Hb2 zenon_Hb4 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H47 zenon_H57 zenon_H5b. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.16 apply (zenon_L450_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.16 apply (zenon_L233_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.16 apply (zenon_L457_); trivial. % 1.00/1.16 apply (zenon_L451_); trivial. % 1.00/1.16 apply (zenon_L257_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.16 apply (zenon_L233_); trivial. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.16 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.16 apply (zenon_L457_); trivial. % 1.00/1.16 apply (zenon_L452_); trivial. % 1.00/1.16 apply (zenon_L257_); trivial. % 1.00/1.16 apply (zenon_L258_); trivial. % 1.00/1.16 (* end of lemma zenon_L458_ *) % 1.00/1.16 assert (zenon_L459_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> False). % 1.00/1.16 do 0 intro. intros zenon_H1f1 zenon_H261 zenon_H260 zenon_H17 zenon_Ha2 zenon_H16 zenon_H27d zenon_H27e zenon_H27f zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H47. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.00/1.16 apply (zenon_L303_); trivial. % 1.00/1.16 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.00/1.16 apply (zenon_L263_); trivial. % 1.00/1.16 exact (zenon_H47 zenon_H48). % 1.00/1.16 (* end of lemma zenon_L459_ *) % 1.00/1.16 assert (zenon_L460_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp22)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H19e zenon_H164 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1dc zenon_Ha4 zenon_Ha2 zenon_H27f zenon_H27e zenon_H27d zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1 zenon_H260 zenon_H261 zenon_H262 zenon_H1fa zenon_H4b zenon_H291 zenon_H83. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.17 apply (zenon_L30_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.00/1.17 apply (zenon_L415_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.17 apply (zenon_L31_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.17 apply (zenon_L453_); trivial. % 1.00/1.17 apply (zenon_L459_); trivial. % 1.00/1.17 exact (zenon_H4b zenon_H4c). % 1.00/1.17 apply (zenon_L101_); trivial. % 1.00/1.17 (* end of lemma zenon_L460_ *) % 1.00/1.17 assert (zenon_L461_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H250 zenon_H218 zenon_H209 zenon_H1a0 zenon_H61 zenon_Ha4 zenon_H143 zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_Hc3 zenon_Hc0 zenon_Hbd zenon_H19e zenon_H90 zenon_H70 zenon_H7f zenon_H83 zenon_H1fa zenon_H22e zenon_H192 zenon_H28d zenon_H36 zenon_H291 zenon_H4b zenon_H260 zenon_H261 zenon_H262 zenon_Hb2 zenon_Hb4 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H16 zenon_H57 zenon_H5b zenon_H195 zenon_H1f1 zenon_H166 zenon_H1dc zenon_H174 zenon_H251 zenon_H23e. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.17 apply (zenon_L450_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.17 apply (zenon_L221_); trivial. % 1.00/1.17 apply (zenon_L451_); trivial. % 1.00/1.17 apply (zenon_L257_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.17 apply (zenon_L221_); trivial. % 1.00/1.17 apply (zenon_L452_); trivial. % 1.00/1.17 apply (zenon_L257_); trivial. % 1.00/1.17 apply (zenon_L258_); trivial. % 1.00/1.17 apply (zenon_L458_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.17 apply (zenon_L450_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.17 apply (zenon_L460_); trivial. % 1.00/1.17 apply (zenon_L451_); trivial. % 1.00/1.17 apply (zenon_L257_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.17 apply (zenon_L460_); trivial. % 1.00/1.17 apply (zenon_L452_); trivial. % 1.00/1.17 apply (zenon_L257_); trivial. % 1.00/1.17 apply (zenon_L424_); trivial. % 1.00/1.17 apply (zenon_L295_); trivial. % 1.00/1.17 apply (zenon_L296_); trivial. % 1.00/1.17 (* end of lemma zenon_L461_ *) % 1.00/1.17 assert (zenon_L462_ : ((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501)))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H27a zenon_H279 zenon_Hb7 zenon_H2b zenon_H23e zenon_H251 zenon_H174 zenon_H1dc zenon_H166 zenon_H1f1 zenon_H195 zenon_H5b zenon_H57 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_Hb4 zenon_Hb2 zenon_H4b zenon_H291 zenon_H36 zenon_H28d zenon_H192 zenon_H22e zenon_H1fa zenon_H83 zenon_H7f zenon_H70 zenon_H90 zenon_H19e zenon_Hbd zenon_Hc0 zenon_Hc3 zenon_H27d zenon_H27e zenon_H27f zenon_H23c zenon_H143 zenon_Ha4 zenon_H61 zenon_H1a0 zenon_H209 zenon_H218 zenon_H250. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.00/1.17 apply (zenon_L461_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.17 apply (zenon_L435_); trivial. % 1.00/1.17 apply (zenon_L185_); trivial. % 1.00/1.17 (* end of lemma zenon_L462_ *) % 1.00/1.17 assert (zenon_L463_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp5)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hb6 zenon_H1f8 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1fa zenon_H29e zenon_H29f zenon_H29d zenon_H28f zenon_He3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 1.00/1.17 apply (zenon_L415_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 1.00/1.17 apply (zenon_L316_); trivial. % 1.00/1.17 exact (zenon_He3 zenon_He4). % 1.00/1.17 (* end of lemma zenon_L463_ *) % 1.00/1.17 assert (zenon_L464_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hbc zenon_Hbd zenon_H1f8 zenon_He3 zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H28f zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1 zenon_H90. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 1.00/1.17 apply (zenon_L37_); trivial. % 1.00/1.17 apply (zenon_L463_); trivial. % 1.00/1.17 (* end of lemma zenon_L464_ *) % 1.00/1.17 assert (zenon_L465_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H83 zenon_H33 zenon_H1f8 zenon_He3 zenon_H1f1 zenon_H47 zenon_H142 zenon_H135 zenon_H134 zenon_H198 zenon_H1dc zenon_H93 zenon_H95 zenon_H96 zenon_Ha2 zenon_Ha4 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.17 apply (zenon_L30_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.17 apply (zenon_L416_); trivial. % 1.00/1.17 apply (zenon_L145_); trivial. % 1.00/1.17 (* end of lemma zenon_L465_ *) % 1.00/1.17 assert (zenon_L466_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H13f zenon_Hc0 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H28f zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H95 zenon_H93 zenon_H1dc zenon_H198 zenon_H47 zenon_H1f1 zenon_He3 zenon_H1f8 zenon_H33 zenon_H83. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.17 apply (zenon_L465_); trivial. % 1.00/1.17 apply (zenon_L318_); trivial. % 1.00/1.17 (* end of lemma zenon_L466_ *) % 1.00/1.17 assert (zenon_L467_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1d3 zenon_H5b zenon_H1f8 zenon_He3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hb2 zenon_Hb4. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.17 apply (zenon_L124_); trivial. % 1.00/1.17 apply (zenon_L421_); trivial. % 1.00/1.17 (* end of lemma zenon_L467_ *) % 1.00/1.17 assert (zenon_L468_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H61 zenon_H195 zenon_H173 zenon_H14a zenon_H14b zenon_H14c zenon_H166 zenon_H158 zenon_H174 zenon_H11 zenon_H184 zenon_H192 zenon_Hd zenon_Hb zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2b zenon_H2e zenon_H33 zenon_H36. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.17 apply (zenon_L418_); trivial. % 1.00/1.17 apply (zenon_L94_); trivial. % 1.00/1.17 (* end of lemma zenon_L468_ *) % 1.00/1.17 assert (zenon_L469_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H252 zenon_H23e zenon_H184 zenon_H251 zenon_H196 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H7f zenon_H61 zenon_H11d zenon_H11b zenon_He3 zenon_H192 zenon_H158 zenon_H166 zenon_H174 zenon_H22e zenon_H173 zenon_H195 zenon_Hd zenon_H33 zenon_H2e zenon_H2b zenon_H216 zenon_H10b zenon_H116 zenon_H1dc zenon_H28f zenon_H2b2 zenon_H22a zenon_H36 zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1a0 zenon_H209. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.17 apply (zenon_L334_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.17 apply (zenon_L368_); trivial. % 1.00/1.17 apply (zenon_L432_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.17 apply (zenon_L333_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.17 apply (zenon_L468_); trivial. % 1.00/1.17 apply (zenon_L329_); trivial. % 1.00/1.17 apply (zenon_L373_); trivial. % 1.00/1.17 (* end of lemma zenon_L469_ *) % 1.00/1.17 assert (zenon_L470_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H61 zenon_H276 zenon_Hb2 zenon_H270 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H244 zenon_H243 zenon_H242 zenon_Hd zenon_Hb zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2b zenon_H2e zenon_H33 zenon_H36. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.17 apply (zenon_L418_); trivial. % 1.00/1.17 apply (zenon_L387_); trivial. % 1.00/1.17 (* end of lemma zenon_L470_ *) % 1.00/1.17 assert (zenon_L471_ : ((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H255 zenon_H250 zenon_H22e zenon_H36 zenon_H33 zenon_H2e zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1e2 zenon_Hd zenon_H209 zenon_H7 zenon_H3 zenon_H173 zenon_H1dc zenon_H158 zenon_H146 zenon_H1a0 zenon_H61 zenon_H143 zenon_H276 zenon_Hb2 zenon_H270 zenon_Hc3 zenon_He8 zenon_Ha4 zenon_H83 zenon_H7f zenon_H70 zenon_H90 zenon_H28f zenon_H1fa zenon_H2b zenon_Hb7 zenon_Hbd zenon_Hc0 zenon_H29d zenon_H29e zenon_H29f zenon_H1c9 zenon_H196 zenon_H251 zenon_H23e. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.17 apply (zenon_L386_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.17 apply (zenon_L470_); trivial. % 1.00/1.17 apply (zenon_L432_); trivial. % 1.00/1.17 (* end of lemma zenon_L471_ *) % 1.00/1.17 assert (zenon_L472_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp18)) -> (~(hskp19)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp22)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a527))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H173 zenon_H1dc zenon_H1c1 zenon_H104 zenon_H1c3 zenon_Ha2 zenon_Ha4 zenon_Hc1 zenon_H196 zenon_H164 zenon_H19e zenon_H83 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H28f zenon_H95 zenon_H158 zenon_H96 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H1 zenon_H90 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_Hc0. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.17 apply (zenon_L324_); trivial. % 1.00/1.17 apply (zenon_L271_); trivial. % 1.00/1.17 (* end of lemma zenon_L472_ *) % 1.00/1.17 assert (zenon_L473_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(c1_1 (a527))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(hskp19)) -> (~(hskp18)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H192 zenon_H28d zenon_H27d zenon_H27e zenon_H27f zenon_Hc0 zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H90 zenon_H1 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H93 zenon_H96 zenon_H158 zenon_H95 zenon_H28f zenon_H2b zenon_Hb7 zenon_Hbd zenon_H83 zenon_H19e zenon_H196 zenon_Hc1 zenon_Ha4 zenon_Ha2 zenon_H1c3 zenon_H104 zenon_H1c1 zenon_H1dc zenon_H173. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.17 apply (zenon_L472_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.17 apply (zenon_L324_); trivial. % 1.00/1.17 apply (zenon_L275_); trivial. % 1.00/1.17 (* end of lemma zenon_L473_ *) % 1.00/1.17 assert (zenon_L474_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H250 zenon_H166 zenon_H174 zenon_H195 zenon_Hd zenon_H2b2 zenon_H10b zenon_H209 zenon_H144 zenon_H198 zenon_H1f1 zenon_H173 zenon_H1dc zenon_H1c3 zenon_H19e zenon_H158 zenon_H28d zenon_H192 zenon_H22e zenon_H1fc zenon_H1e2 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2e zenon_H33 zenon_H36 zenon_H1a0 zenon_H61 zenon_He8 zenon_H7 zenon_H3 zenon_Hc0 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H1fa zenon_H28f zenon_Ha4 zenon_H90 zenon_H70 zenon_H7f zenon_H83 zenon_Hc3 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c zenon_H143 zenon_H146 zenon_H16 zenon_H29d zenon_H29e zenon_H29f zenon_H1c9 zenon_H196 zenon_H251 zenon_H23e. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.17 apply (zenon_L314_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.17 apply (zenon_L4_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.17 apply (zenon_L319_); trivial. % 1.00/1.17 apply (zenon_L257_); trivial. % 1.00/1.17 apply (zenon_L321_); trivial. % 1.00/1.17 apply (zenon_L322_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.17 apply (zenon_L314_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.17 apply (zenon_L4_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.17 apply (zenon_L473_); trivial. % 1.00/1.17 apply (zenon_L282_); trivial. % 1.00/1.17 apply (zenon_L289_); trivial. % 1.00/1.17 apply (zenon_L320_); trivial. % 1.00/1.17 apply (zenon_L417_); trivial. % 1.00/1.17 apply (zenon_L258_); trivial. % 1.00/1.17 apply (zenon_L295_); trivial. % 1.00/1.17 apply (zenon_L412_); trivial. % 1.00/1.17 (* end of lemma zenon_L474_ *) % 1.00/1.17 assert (zenon_L475_ : ((ndr1_0)/\((c1_1 (a498))/\((~(c0_1 (a498)))/\(~(c2_1 (a498)))))) -> ((~(hskp5))\/((ndr1_0)/\((c0_1 (a499))/\((c2_1 (a499))/\(~(c1_1 (a499))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H2cd zenon_H2ce zenon_H19e zenon_H28d zenon_H23c zenon_H279 zenon_H276 zenon_H270 zenon_H23e zenon_H251 zenon_H196 zenon_H1c9 zenon_H146 zenon_H143 zenon_He8 zenon_Hc3 zenon_H83 zenon_H7f zenon_H70 zenon_H90 zenon_Ha4 zenon_H28f zenon_H1fa zenon_H2b zenon_Hb7 zenon_Hbd zenon_Hc0 zenon_H7 zenon_H61 zenon_H1a0 zenon_H144 zenon_H1e2 zenon_H198 zenon_H1f1 zenon_H33 zenon_H158 zenon_H1c3 zenon_H1dc zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1f8 zenon_H173 zenon_Hb4 zenon_Hb2 zenon_H5b zenon_H1fc zenon_H209 zenon_H36 zenon_H22a zenon_H2b2 zenon_H116 zenon_H10b zenon_H216 zenon_H2e zenon_Hd zenon_H195 zenon_H22e zenon_H174 zenon_H166 zenon_H192 zenon_H11d zenon_H184 zenon_H250 zenon_H278. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.17 apply (zenon_L323_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.17 apply (zenon_L314_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.17 apply (zenon_L4_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.17 apply (zenon_L324_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.17 apply (zenon_L325_); trivial. % 1.00/1.17 apply (zenon_L464_); trivial. % 1.00/1.17 apply (zenon_L466_); trivial. % 1.00/1.17 apply (zenon_L467_); trivial. % 1.00/1.17 apply (zenon_L320_); trivial. % 1.00/1.17 apply (zenon_L321_); trivial. % 1.00/1.17 apply (zenon_L330_); trivial. % 1.00/1.17 apply (zenon_L469_); trivial. % 1.00/1.17 apply (zenon_L471_); trivial. % 1.00/1.17 apply (zenon_L397_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.00/1.17 apply (zenon_L474_); trivial. % 1.00/1.17 apply (zenon_L471_); trivial. % 1.00/1.17 apply (zenon_L413_); trivial. % 1.00/1.17 (* end of lemma zenon_L475_ *) % 1.00/1.17 assert (zenon_L476_ : ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp19)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_H1c1 zenon_H104. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1c5 ]. % 1.00/1.17 generalize (zenon_H1bd (a496)). zenon_intro zenon_H2d4. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2d4); [ zenon_intro zenon_H15 | zenon_intro zenon_H2d5 ]. % 1.00/1.17 exact (zenon_H15 zenon_H16). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d6 ]. % 1.00/1.17 exact (zenon_H2d3 zenon_H2d7). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2d8 ]. % 1.00/1.17 exact (zenon_H2d2 zenon_H2d9). % 1.00/1.17 exact (zenon_H2d1 zenon_H2d8). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H105 ]. % 1.00/1.17 exact (zenon_H1c1 zenon_H1c2). % 1.00/1.17 exact (zenon_H104 zenon_H105). % 1.00/1.17 (* end of lemma zenon_L476_ *) % 1.00/1.17 assert (zenon_L477_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H144 zenon_H1c9 zenon_H47 zenon_Hb zenon_He3 zenon_H4b zenon_He5 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.17 apply (zenon_L476_); trivial. % 1.00/1.17 apply (zenon_L122_); trivial. % 1.00/1.17 (* end of lemma zenon_L477_ *) % 1.00/1.17 assert (zenon_L478_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1fc zenon_H5b zenon_H57 zenon_Hb2 zenon_Hb4 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_He5 zenon_H4b zenon_He3 zenon_Hb zenon_H47 zenon_H1c9 zenon_H144. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.17 apply (zenon_L477_); trivial. % 1.00/1.17 apply (zenon_L125_); trivial. % 1.00/1.17 (* end of lemma zenon_L478_ *) % 1.00/1.17 assert (zenon_L479_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp22)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H19e zenon_H164 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H1e2 zenon_H3 zenon_H93 zenon_H95 zenon_H96 zenon_Ha2 zenon_Ha4 zenon_H1dc zenon_H198 zenon_H134 zenon_H135 zenon_H142 zenon_H47 zenon_H1f1 zenon_He3 zenon_H1f8 zenon_H33 zenon_H83. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.17 apply (zenon_L147_); trivial. % 1.00/1.17 apply (zenon_L101_); trivial. % 1.00/1.17 (* end of lemma zenon_L479_ *) % 1.00/1.17 assert (zenon_L480_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33)))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H72 zenon_H16 zenon_Hc9 zenon_H2d3 zenon_H2d2 zenon_H2d1. % 1.00/1.17 generalize (zenon_H72 (a496)). zenon_intro zenon_H2da. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2da); [ zenon_intro zenon_H15 | zenon_intro zenon_H2db ]. % 1.00/1.17 exact (zenon_H15 zenon_H16). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2d6 ]. % 1.00/1.17 generalize (zenon_Hc9 (a496)). zenon_intro zenon_H2dd. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2dd); [ zenon_intro zenon_H15 | zenon_intro zenon_H2de ]. % 1.00/1.17 exact (zenon_H15 zenon_H16). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2df ]. % 1.00/1.17 exact (zenon_H2d3 zenon_H2d7). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e0 ]. % 1.00/1.17 exact (zenon_H2d2 zenon_H2d9). % 1.00/1.17 exact (zenon_H2e0 zenon_H2dc). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2d8 ]. % 1.00/1.17 exact (zenon_H2d2 zenon_H2d9). % 1.00/1.17 exact (zenon_H2d1 zenon_H2d8). % 1.00/1.17 (* end of lemma zenon_L480_ *) % 1.00/1.17 assert (zenon_L481_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp15)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (~(c0_1 (a540))) -> (c1_1 (a540)) -> (c3_1 (a540)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(hskp9)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H196 zenon_H9 zenon_H63 zenon_H64 zenon_H17a zenon_H17b zenon_H17c zenon_H22e zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_H72 zenon_Hc1. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hda | zenon_intro zenon_H197 ]. % 1.00/1.17 apply (zenon_L222_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hc2 ]. % 1.00/1.17 apply (zenon_L480_); trivial. % 1.00/1.17 exact (zenon_Hc1 zenon_Hc2). % 1.00/1.17 (* end of lemma zenon_L481_ *) % 1.00/1.17 assert (zenon_L482_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (c0_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a500)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp6)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1dc zenon_Hc1 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H22e zenon_H17c zenon_H17b zenon_H17a zenon_H64 zenon_H63 zenon_H9 zenon_H196 zenon_H198 zenon_H47 zenon_H16 zenon_H38 zenon_H22 zenon_H23 zenon_H24 zenon_H134 zenon_H135 zenon_H142 zenon_H1f1 zenon_H3. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.17 apply (zenon_L481_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.17 apply (zenon_L140_); trivial. % 1.00/1.17 apply (zenon_L143_); trivial. % 1.00/1.17 (* end of lemma zenon_L482_ *) % 1.00/1.17 assert (zenon_L483_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H183 zenon_H33 zenon_H1f8 zenon_He3 zenon_H196 zenon_Hc1 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H9 zenon_H22e zenon_H1f1 zenon_H47 zenon_H142 zenon_H135 zenon_H134 zenon_H198 zenon_H1dc zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H95 zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_H3 zenon_H1e2. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.17 apply (zenon_L137_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 1.00/1.17 apply (zenon_L136_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 1.00/1.17 apply (zenon_L482_); trivial. % 1.00/1.17 exact (zenon_He3 zenon_He4). % 1.00/1.17 (* end of lemma zenon_L483_ *) % 1.00/1.17 assert (zenon_L484_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_He7 zenon_H1fc zenon_H1fa zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_Hc3 zenon_Hc1 zenon_He5 zenon_H4b zenon_He3 zenon_H63 zenon_H64 zenon_H65 zenon_He8 zenon_H144. % 1.00/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.17 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.17 apply (zenon_L476_); trivial. % 1.00/1.17 apply (zenon_L76_); trivial. % 1.00/1.17 apply (zenon_L148_); trivial. % 1.00/1.17 (* end of lemma zenon_L484_ *) % 1.00/1.17 assert (zenon_L485_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H143 zenon_Hc3 zenon_He8 zenon_H144 zenon_H192 zenon_H196 zenon_Hc1 zenon_H9 zenon_H22e zenon_H83 zenon_H33 zenon_H1f8 zenon_He3 zenon_H1f1 zenon_H47 zenon_H198 zenon_H1dc zenon_Ha4 zenon_H96 zenon_H95 zenon_H93 zenon_H3 zenon_H1e2 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H90 zenon_H1 zenon_H19e zenon_Hbd zenon_Hc0 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_He5 zenon_H4b zenon_H1fa zenon_H1fc. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.17 apply (zenon_L476_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.17 apply (zenon_L479_); trivial. % 1.00/1.17 apply (zenon_L483_); trivial. % 1.00/1.17 apply (zenon_L148_); trivial. % 1.00/1.17 apply (zenon_L484_); trivial. % 1.00/1.17 (* end of lemma zenon_L485_ *) % 1.00/1.17 assert (zenon_L486_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (c0_1 (a496)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H37 zenon_H16 zenon_H2d3 zenon_H2d1 zenon_H2dc. % 1.00/1.17 generalize (zenon_H37 (a496)). zenon_intro zenon_H2e1. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2e1); [ zenon_intro zenon_H15 | zenon_intro zenon_H2e2 ]. % 1.00/1.17 exact (zenon_H15 zenon_H16). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e3 ]. % 1.00/1.17 exact (zenon_H2d3 zenon_H2d7). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e0 ]. % 1.00/1.17 exact (zenon_H2d1 zenon_H2d8). % 1.00/1.17 exact (zenon_H2e0 zenon_H2dc). % 1.00/1.17 (* end of lemma zenon_L486_ *) % 1.00/1.17 assert (zenon_L487_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H72 zenon_H16 zenon_H37 zenon_H2d3 zenon_H2d1 zenon_H2d2. % 1.00/1.17 generalize (zenon_H72 (a496)). zenon_intro zenon_H2da. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2da); [ zenon_intro zenon_H15 | zenon_intro zenon_H2db ]. % 1.00/1.17 exact (zenon_H15 zenon_H16). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2d6 ]. % 1.00/1.17 apply (zenon_L486_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2d8 ]. % 1.00/1.17 exact (zenon_H2d2 zenon_H2d9). % 1.00/1.17 exact (zenon_H2d1 zenon_H2d8). % 1.00/1.17 (* end of lemma zenon_L487_ *) % 1.00/1.17 assert (zenon_L488_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c3_1 (a534))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H121 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H135 zenon_H134 zenon_H72 zenon_H142 zenon_H16 zenon_H11f. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H37 | zenon_intro zenon_H122 ]. % 1.00/1.17 apply (zenon_L487_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H17 | zenon_intro zenon_H120 ]. % 1.00/1.17 apply (zenon_L142_); trivial. % 1.00/1.17 exact (zenon_H11f zenon_H120). % 1.00/1.17 (* end of lemma zenon_L488_ *) % 1.00/1.17 assert (zenon_L489_ : (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c2_1 (a528)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H153 zenon_H16 zenon_H18 zenon_H1a zenon_H2e4. % 1.00/1.17 generalize (zenon_H153 (a528)). zenon_intro zenon_H2e5. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2e5); [ zenon_intro zenon_H15 | zenon_intro zenon_H2e6 ]. % 1.00/1.17 exact (zenon_H15 zenon_H16). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H1e | zenon_intro zenon_H2e7 ]. % 1.00/1.17 exact (zenon_H18 zenon_H1e). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H1f | zenon_intro zenon_H2e8 ]. % 1.00/1.17 exact (zenon_H1f zenon_H1a). % 1.00/1.17 exact (zenon_H2e8 zenon_H2e4). % 1.00/1.17 (* end of lemma zenon_L489_ *) % 1.00/1.17 assert (zenon_L490_ : (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hd9 zenon_H16 zenon_H153 zenon_H18 zenon_H1a zenon_H19. % 1.00/1.17 generalize (zenon_Hd9 (a528)). zenon_intro zenon_H2e9. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2e9); [ zenon_intro zenon_H15 | zenon_intro zenon_H2ea ]. % 1.00/1.17 exact (zenon_H15 zenon_H16). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H1d ]. % 1.00/1.17 apply (zenon_L489_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ]. % 1.00/1.17 exact (zenon_H20 zenon_H19). % 1.00/1.17 exact (zenon_H1f zenon_H1a). % 1.00/1.17 (* end of lemma zenon_L490_ *) % 1.00/1.17 assert (zenon_L491_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp23)) -> (~(c3_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H1dc zenon_H11f zenon_H142 zenon_H134 zenon_H135 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H121 zenon_H153 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.17 apply (zenon_L488_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.17 apply (zenon_L490_); trivial. % 1.00/1.17 apply (zenon_L12_); trivial. % 1.00/1.17 (* end of lemma zenon_L491_ *) % 1.00/1.17 assert (zenon_L492_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H5e zenon_H143 zenon_H1fc zenon_H1fa zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_Hc3 zenon_Hc1 zenon_He5 zenon_H4b zenon_He3 zenon_He8 zenon_H144 zenon_H63 zenon_H64 zenon_H65 zenon_Ha4. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.17 apply (zenon_L54_); trivial. % 1.00/1.17 apply (zenon_L484_); trivial. % 1.00/1.17 (* end of lemma zenon_L492_ *) % 1.00/1.17 assert (zenon_L493_ : (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15)))))) -> (ndr1_0) -> (~(c1_1 (a527))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (c2_1 (a527)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H238 zenon_H16 zenon_H95 zenon_H1de zenon_H96. % 1.00/1.17 generalize (zenon_H238 (a527)). zenon_intro zenon_H2eb. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2eb); [ zenon_intro zenon_H15 | zenon_intro zenon_H2ec ]. % 1.00/1.17 exact (zenon_H15 zenon_H16). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H99 ]. % 1.00/1.17 exact (zenon_H95 zenon_Ha1). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ]. % 1.00/1.17 apply (zenon_L134_); trivial. % 1.00/1.17 exact (zenon_H9b zenon_H96). % 1.00/1.17 (* end of lemma zenon_L493_ *) % 1.00/1.17 assert (zenon_L494_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H146 zenon_H143 zenon_H228 zenon_H1d6 zenon_Hc3 zenon_Hc1 zenon_H11b zenon_H23c zenon_H20b zenon_H20c zenon_H20d zenon_H4b zenon_H218 zenon_H1 zenon_H3 zenon_H7. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.17 apply (zenon_L4_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.17 apply (zenon_L163_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.17 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.17 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1de | zenon_intro zenon_H229 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.00/1.17 apply (zenon_L48_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.00/1.17 apply (zenon_L493_); trivial. % 1.00/1.17 exact (zenon_H11b zenon_H11c). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H20a | zenon_intro zenon_H1d7 ]. % 1.00/1.17 apply (zenon_L159_); trivial. % 1.00/1.17 exact (zenon_H1d6 zenon_H1d7). % 1.00/1.17 (* end of lemma zenon_L494_ *) % 1.00/1.17 assert (zenon_L495_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(hskp4)) -> (~(hskp31)) -> (ndr1_0) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp21)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H174 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H72 zenon_H4b zenon_H49 zenon_H16 zenon_H3b zenon_H3a zenon_H39 zenon_H5c zenon_H168. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H176 ]. % 1.00/1.17 apply (zenon_L480_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H153 | zenon_intro zenon_H169 ]. % 1.00/1.17 apply (zenon_L194_); trivial. % 1.00/1.17 exact (zenon_H168 zenon_H169). % 1.00/1.17 (* end of lemma zenon_L495_ *) % 1.00/1.17 assert (zenon_L496_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (c2_1 (a522)) -> (c1_1 (a522)) -> (c0_1 (a522)) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H24b zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H72 zenon_H4f zenon_H4e zenon_H4d zenon_H16 zenon_H1d6. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H24c ]. % 1.00/1.17 apply (zenon_L480_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1d7 ]. % 1.00/1.17 apply (zenon_L22_); trivial. % 1.00/1.17 exact (zenon_H1d6 zenon_H1d7). % 1.00/1.17 (* end of lemma zenon_L496_ *) % 1.00/1.17 assert (zenon_L497_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp3)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H56 zenon_H7f zenon_H1d6 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H24b zenon_H11 zenon_H7c. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 1.00/1.17 apply (zenon_L496_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 1.00/1.17 exact (zenon_H11 zenon_H12). % 1.00/1.17 exact (zenon_H7c zenon_H7d). % 1.00/1.17 (* end of lemma zenon_L497_ *) % 1.00/1.17 assert (zenon_L498_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H191 zenon_H5b zenon_H7f zenon_H7c zenon_H11 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1d6 zenon_H24b zenon_H4b zenon_H5c. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.17 apply (zenon_L196_); trivial. % 1.00/1.17 apply (zenon_L497_); trivial. % 1.00/1.17 (* end of lemma zenon_L498_ *) % 1.00/1.17 assert (zenon_L499_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H5e zenon_H195 zenon_H7f zenon_H7c zenon_H11 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H174 zenon_H24b zenon_H1d6 zenon_H5b. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 1.00/1.17 apply (zenon_L495_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 1.00/1.17 exact (zenon_H11 zenon_H12). % 1.00/1.17 exact (zenon_H7c zenon_H7d). % 1.00/1.17 apply (zenon_L497_); trivial. % 1.00/1.17 apply (zenon_L498_); trivial. % 1.00/1.17 (* end of lemma zenon_L499_ *) % 1.00/1.17 assert (zenon_L500_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a532))) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> False). % 1.00/1.17 do 0 intro. intros zenon_Hc4 zenon_H16 zenon_Hd2 zenon_Hc7 zenon_Hc5. % 1.00/1.17 generalize (zenon_Hc4 (a532)). zenon_intro zenon_Hca. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_Hca); [ zenon_intro zenon_H15 | zenon_intro zenon_Hcb ]. % 1.00/1.17 exact (zenon_H15 zenon_H16). % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcc ]. % 1.00/1.17 exact (zenon_Hd2 zenon_Hcd). % 1.00/1.17 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd4 ]. % 1.00/1.17 exact (zenon_Hc7 zenon_Hd1). % 1.00/1.17 exact (zenon_Hd4 zenon_Hc5). % 1.00/1.17 (* end of lemma zenon_L500_ *) % 1.00/1.17 assert (zenon_L501_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a532))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (c3_1 (a532)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H10c zenon_H16 zenon_Hc7 zenon_Hc4 zenon_Hc5. % 1.00/1.17 generalize (zenon_H10c (a532)). zenon_intro zenon_H2ed. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2ed); [ zenon_intro zenon_H15 | zenon_intro zenon_H2ee ]. % 1.00/1.17 exact (zenon_H15 zenon_H16). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H2ef ]. % 1.00/1.17 exact (zenon_Hc7 zenon_Hd1). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd4 ]. % 1.00/1.17 apply (zenon_L500_); trivial. % 1.00/1.17 exact (zenon_Hd4 zenon_Hc5). % 1.00/1.17 (* end of lemma zenon_L501_ *) % 1.00/1.17 assert (zenon_L502_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a532)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (~(c1_1 (a532))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H2b2 zenon_Hc5 zenon_Hc4 zenon_Hc7 zenon_H20d zenon_H20c zenon_Hf3 zenon_H16 zenon_Hef. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H10c | zenon_intro zenon_H2b3 ]. % 1.00/1.17 apply (zenon_L501_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2ae | zenon_intro zenon_Hf0 ]. % 1.00/1.17 apply (zenon_L344_); trivial. % 1.00/1.17 exact (zenon_Hef zenon_Hf0). % 1.00/1.17 (* end of lemma zenon_L502_ *) % 1.00/1.17 assert (zenon_L503_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp21)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> (~(hskp31)) -> (~(hskp4)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c0_1 (a505))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a532)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (~(c1_1 (a532))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H28f zenon_H168 zenon_H5c zenon_H39 zenon_H3a zenon_H3b zenon_H49 zenon_H4b zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H20b zenon_H2b2 zenon_Hc5 zenon_Hc4 zenon_Hc7 zenon_H20d zenon_H20c zenon_H16 zenon_Hef. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.17 apply (zenon_L495_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.17 apply (zenon_L172_); trivial. % 1.00/1.17 apply (zenon_L502_); trivial. % 1.00/1.17 (* end of lemma zenon_L503_ *) % 1.00/1.17 assert (zenon_L504_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (~(hskp4)) -> (~(hskp31)) -> (ndr1_0) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp21)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H174 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H62 zenon_H4b zenon_H49 zenon_H16 zenon_H3b zenon_H3a zenon_H39 zenon_H5c zenon_H168. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H176 ]. % 1.00/1.17 apply (zenon_L113_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H153 | zenon_intro zenon_H169 ]. % 1.00/1.17 apply (zenon_L194_); trivial. % 1.00/1.17 exact (zenon_H168 zenon_H169). % 1.00/1.17 (* end of lemma zenon_L504_ *) % 1.00/1.17 assert (zenon_L505_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp29)) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a505))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp5)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp4)) -> (~(hskp31)) -> (ndr1_0) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp21)) -> False). % 1.00/1.17 do 0 intro. intros zenon_He8 zenon_Hef zenon_H20c zenon_H20d zenon_Hc7 zenon_Hc5 zenon_H2b2 zenon_H20b zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H28f zenon_He3 zenon_H134 zenon_H135 zenon_He5 zenon_H174 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H4b zenon_H49 zenon_H16 zenon_H3b zenon_H3a zenon_H39 zenon_H5c zenon_H168. % 1.00/1.17 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.17 apply (zenon_L503_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.17 apply (zenon_L75_); trivial. % 1.00/1.17 apply (zenon_L504_); trivial. % 1.00/1.17 (* end of lemma zenon_L505_ *) % 1.00/1.17 assert (zenon_L506_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp3)) -> (c0_1 (a522)) -> (c1_1 (a522)) -> (c2_1 (a522)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c0_1 (a505))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a532)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (~(c1_1 (a532))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H28f zenon_H1d6 zenon_H4d zenon_H4e zenon_H4f zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H24b zenon_H20b zenon_H2b2 zenon_Hc5 zenon_Hc4 zenon_Hc7 zenon_H20d zenon_H20c zenon_H16 zenon_Hef. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.17 apply (zenon_L496_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.17 apply (zenon_L172_); trivial. % 1.00/1.17 apply (zenon_L502_); trivial. % 1.00/1.17 (* end of lemma zenon_L506_ *) % 1.00/1.17 assert (zenon_L507_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a534)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a534))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H135 zenon_Hda zenon_H134 zenon_H16 zenon_H9. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H20a | zenon_intro zenon_H22f ]. % 1.00/1.17 apply (zenon_L159_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Ha ]. % 1.00/1.17 apply (zenon_L74_); trivial. % 1.00/1.17 exact (zenon_H9 zenon_Ha). % 1.00/1.17 (* end of lemma zenon_L507_ *) % 1.00/1.17 assert (zenon_L508_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> (~(hskp29)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H5b zenon_H9 zenon_H22e zenon_H24b zenon_H1d6 zenon_H28f zenon_Hc7 zenon_Hc5 zenon_Hef zenon_H2b2 zenon_H20d zenon_H20c zenon_H20b zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H39 zenon_H3a zenon_H3b zenon_H168 zenon_H174 zenon_He5 zenon_He3 zenon_H135 zenon_H134 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_He8. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.17 apply (zenon_L505_); trivial. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.00/1.17 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.17 apply (zenon_L506_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.17 apply (zenon_L507_); trivial. % 1.00/1.17 apply (zenon_L306_); trivial. % 1.00/1.17 (* end of lemma zenon_L508_ *) % 1.00/1.17 assert (zenon_L509_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp21)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> (~(hskp31)) -> (~(hskp4)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H28f zenon_H168 zenon_H5c zenon_H39 zenon_H3a zenon_H3b zenon_H49 zenon_H4b zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_Hc4 zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_H16 zenon_H9. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.17 apply (zenon_L495_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.17 apply (zenon_L172_); trivial. % 1.00/1.17 apply (zenon_L349_); trivial. % 1.00/1.17 (* end of lemma zenon_L509_ *) % 1.00/1.17 assert (zenon_L510_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp9)) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp15)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp3)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H56 zenon_He8 zenon_Hc1 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc3 zenon_H9 zenon_H134 zenon_H135 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H24b zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1d6. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.00/1.17 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.17 apply (zenon_L48_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.17 apply (zenon_L507_); trivial. % 1.00/1.17 apply (zenon_L306_); trivial. % 1.00/1.17 (* end of lemma zenon_L510_ *) % 1.00/1.17 assert (zenon_L511_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.17 do 0 intro. intros zenon_H108 zenon_H5b zenon_H1d6 zenon_H24b zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc1 zenon_Hc3 zenon_H28f zenon_H9 zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H39 zenon_H3a zenon_H3b zenon_H168 zenon_H174 zenon_He5 zenon_He3 zenon_H135 zenon_H134 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_He8. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.17 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.17 apply (zenon_L509_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.17 apply (zenon_L75_); trivial. % 1.00/1.17 apply (zenon_L504_); trivial. % 1.00/1.17 apply (zenon_L510_); trivial. % 1.00/1.17 (* end of lemma zenon_L511_ *) % 1.00/1.17 assert (zenon_L512_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c2_1 (a500)) -> (c3_1 (a500)) -> (c0_1 (a500)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H10c zenon_H16 zenon_Hf3 zenon_H23 zenon_H24 zenon_H22. % 1.00/1.17 generalize (zenon_H10c (a500)). zenon_intro zenon_H1e9. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H1e9); [ zenon_intro zenon_H15 | zenon_intro zenon_H1ea ]. % 1.00/1.17 exact (zenon_H15 zenon_H16). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1eb ]. % 1.00/1.17 generalize (zenon_Hf3 (a500)). zenon_intro zenon_H2f0. % 1.00/1.17 apply (zenon_imply_s _ _ zenon_H2f0); [ zenon_intro zenon_H15 | zenon_intro zenon_H2f1 ]. % 1.00/1.17 exact (zenon_H15 zenon_H16). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H27 ]. % 1.00/1.17 exact (zenon_H1f0 zenon_H1ec). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 1.00/1.17 exact (zenon_H2a zenon_H23). % 1.00/1.17 exact (zenon_H29 zenon_H24). % 1.00/1.17 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 1.00/1.17 exact (zenon_H28 zenon_H22). % 1.00/1.17 exact (zenon_H29 zenon_H24). % 1.00/1.17 (* end of lemma zenon_L512_ *) % 1.00/1.17 assert (zenon_L513_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a500)) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H2b2 zenon_H22 zenon_H24 zenon_H23 zenon_H20d zenon_H20c zenon_Hf3 zenon_H16 zenon_Hef. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H10c | zenon_intro zenon_H2b3 ]. % 1.00/1.17 apply (zenon_L512_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2ae | zenon_intro zenon_Hf0 ]. % 1.00/1.17 apply (zenon_L344_); trivial. % 1.00/1.17 exact (zenon_Hef zenon_Hf0). % 1.00/1.17 (* end of lemma zenon_L513_ *) % 1.00/1.17 assert (zenon_L514_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp3)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a500)) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(hskp29)) -> False). % 1.00/1.17 do 0 intro. intros zenon_H56 zenon_H28f zenon_H1d6 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H24b zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2b2 zenon_H22 zenon_H24 zenon_H23 zenon_H20d zenon_H20c zenon_Hef. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.00/1.17 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.17 apply (zenon_L496_); trivial. % 1.00/1.17 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.17 apply (zenon_L123_); trivial. % 1.00/1.17 apply (zenon_L513_); trivial. % 1.00/1.17 (* end of lemma zenon_L514_ *) % 1.00/1.17 assert (zenon_L515_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(hskp29)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (c0_1 (a500)) -> (c3_1 (a500)) -> (c2_1 (a500)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H5b zenon_H1d6 zenon_H24b zenon_H174 zenon_H168 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2b2 zenon_Hef zenon_H20d zenon_H20c zenon_H22 zenon_H24 zenon_H23 zenon_H28f. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.18 apply (zenon_L495_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.18 apply (zenon_L123_); trivial. % 1.00/1.18 apply (zenon_L513_); trivial. % 1.00/1.18 apply (zenon_L514_); trivial. % 1.00/1.18 (* end of lemma zenon_L515_ *) % 1.00/1.18 assert (zenon_L516_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp3)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (~(hskp15)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H56 zenon_H28f zenon_H1d6 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H24b zenon_H1cc zenon_H1cb zenon_H1ca zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_H9. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.18 apply (zenon_L496_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.18 apply (zenon_L123_); trivial. % 1.00/1.18 apply (zenon_L349_); trivial. % 1.00/1.18 (* end of lemma zenon_L516_ *) % 1.00/1.18 assert (zenon_L517_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H108 zenon_H5b zenon_H1d6 zenon_H24b zenon_H174 zenon_H168 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H22e zenon_H9 zenon_H20d zenon_H20c zenon_H20b zenon_H28f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.18 apply (zenon_L495_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.18 apply (zenon_L123_); trivial. % 1.00/1.18 apply (zenon_L349_); trivial. % 1.00/1.18 apply (zenon_L516_); trivial. % 1.00/1.18 (* end of lemma zenon_L517_ *) % 1.00/1.18 assert (zenon_L518_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c1_1 (a538))) -> (~(c3_1 (a538))) -> (c0_1 (a538)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H108 zenon_H5b zenon_H28f zenon_H20b zenon_H20c zenon_H20d zenon_H9 zenon_H22e zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1d6 zenon_H24b zenon_H188 zenon_H189 zenon_H18a zenon_H4b zenon_H5c. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.18 apply (zenon_L196_); trivial. % 1.00/1.18 apply (zenon_L516_); trivial. % 1.00/1.18 (* end of lemma zenon_L518_ *) % 1.00/1.18 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H191 zenon_H33 zenon_H10b zenon_H9 zenon_H22e zenon_H5c zenon_H4b zenon_H24b zenon_H1d6 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2b2 zenon_H28f zenon_H5b zenon_H20b zenon_H20c zenon_H20d zenon_H214 zenon_H216. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.18 apply (zenon_L161_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.18 apply (zenon_L196_); trivial. % 1.00/1.18 apply (zenon_L514_); trivial. % 1.00/1.18 apply (zenon_L518_); trivial. % 1.00/1.18 (* end of lemma zenon_L519_ *) % 1.00/1.18 assert (zenon_L520_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H216 zenon_H214 zenon_H20d zenon_H20c zenon_H20b zenon_H5b zenon_H1d6 zenon_H24b zenon_H174 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2b2 zenon_H28f zenon_H9 zenon_H22e zenon_H10b zenon_H33. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.18 apply (zenon_L161_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.18 apply (zenon_L515_); trivial. % 1.00/1.18 apply (zenon_L517_); trivial. % 1.00/1.18 apply (zenon_L519_); trivial. % 1.00/1.18 (* end of lemma zenon_L520_ *) % 1.00/1.18 assert (zenon_L521_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (c3_1 (a530)) -> (c2_1 (a530)) -> (~(c1_1 (a530))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H2b2 zenon_H1de zenon_H223 zenon_H21c zenon_H21b zenon_H16 zenon_Hef. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H10c | zenon_intro zenon_H2b3 ]. % 1.00/1.18 apply (zenon_L165_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2ae | zenon_intro zenon_Hf0 ]. % 1.00/1.18 apply (zenon_L335_); trivial. % 1.00/1.18 exact (zenon_Hef zenon_Hf0). % 1.00/1.18 (* end of lemma zenon_L521_ *) % 1.00/1.18 assert (zenon_L522_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp29)) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H228 zenon_Hef zenon_H21b zenon_H21c zenon_H223 zenon_H2b2 zenon_H20d zenon_H20c zenon_H20b zenon_H16 zenon_H1d6. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1de | zenon_intro zenon_H229 ]. % 1.00/1.18 apply (zenon_L521_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H20a | zenon_intro zenon_H1d7 ]. % 1.00/1.18 apply (zenon_L159_); trivial. % 1.00/1.18 exact (zenon_H1d6 zenon_H1d7). % 1.00/1.18 (* end of lemma zenon_L522_ *) % 1.00/1.18 assert (zenon_L523_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a530)) -> (c2_1 (a530)) -> (~(c1_1 (a530))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H191 zenon_H10b zenon_H5b zenon_H28f zenon_H9 zenon_H22e zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H24b zenon_H4b zenon_H5c zenon_H2b2 zenon_H223 zenon_H21c zenon_H21b zenon_H20b zenon_H20c zenon_H20d zenon_H1d6 zenon_H228. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.18 apply (zenon_L522_); trivial. % 1.00/1.18 apply (zenon_L518_); trivial. % 1.00/1.18 (* end of lemma zenon_L523_ *) % 1.00/1.18 assert (zenon_L524_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H21b zenon_H21c zenon_H223 zenon_H2b2 zenon_H28f zenon_H9 zenon_H22e zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H39 zenon_H3a zenon_H3b zenon_H174 zenon_H24b zenon_H5b zenon_H10b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.18 apply (zenon_L522_); trivial. % 1.00/1.18 apply (zenon_L517_); trivial. % 1.00/1.18 apply (zenon_L523_); trivial. % 1.00/1.18 (* end of lemma zenon_L524_ *) % 1.00/1.18 assert (zenon_L525_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H22a zenon_H228 zenon_H218 zenon_H4b zenon_H20d zenon_H20c zenon_H20b zenon_H16 zenon_H144 zenon_H195 zenon_H11d zenon_H11b zenon_H5b zenon_H9 zenon_H22e zenon_H24b zenon_H1d6 zenon_H28f zenon_H2b2 zenon_H5c zenon_H39 zenon_H3a zenon_H3b zenon_H174 zenon_He5 zenon_He3 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_He8 zenon_Hc3 zenon_Hc1 zenon_H10b zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H33 zenon_H216 zenon_H1fc zenon_H143. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.18 apply (zenon_L163_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.18 apply (zenon_L476_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.18 apply (zenon_L508_); trivial. % 1.00/1.18 apply (zenon_L511_); trivial. % 1.00/1.18 apply (zenon_L365_); trivial. % 1.00/1.18 apply (zenon_L520_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.18 apply (zenon_L163_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.18 apply (zenon_L476_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.18 apply (zenon_L522_); trivial. % 1.00/1.18 apply (zenon_L511_); trivial. % 1.00/1.18 apply (zenon_L365_); trivial. % 1.00/1.18 apply (zenon_L524_); trivial. % 1.00/1.18 (* end of lemma zenon_L525_ *) % 1.00/1.18 assert (zenon_L526_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp9)) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp4)) -> (~(hskp5)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp3)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H56 zenon_He8 zenon_Hc1 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc3 zenon_H4b zenon_He3 zenon_H134 zenon_H135 zenon_He5 zenon_H24b zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1d6. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_L48_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.18 apply (zenon_L75_); trivial. % 1.00/1.18 apply (zenon_L306_); trivial. % 1.00/1.18 (* end of lemma zenon_L526_ *) % 1.00/1.18 assert (zenon_L527_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (c0_1 (a538)) -> (~(c3_1 (a538))) -> (~(c1_1 (a538))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H121 zenon_H18a zenon_H189 zenon_H188 zenon_H1a zenon_H19 zenon_H18 zenon_H16 zenon_H11f. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H37 | zenon_intro zenon_H122 ]. % 1.00/1.18 apply (zenon_L91_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H17 | zenon_intro zenon_H120 ]. % 1.00/1.18 apply (zenon_L12_); trivial. % 1.00/1.18 exact (zenon_H11f zenon_H120). % 1.00/1.18 (* end of lemma zenon_L527_ *) % 1.00/1.18 assert (zenon_L528_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (ndr1_0) -> (~(hskp9)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1c4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H72 zenon_H1a zenon_H19 zenon_H18 zenon_H16 zenon_Hc1. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c6 ]. % 1.00/1.18 apply (zenon_L480_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H17 | zenon_intro zenon_Hc2 ]. % 1.00/1.18 apply (zenon_L12_); trivial. % 1.00/1.18 exact (zenon_Hc1 zenon_Hc2). % 1.00/1.18 (* end of lemma zenon_L528_ *) % 1.00/1.18 assert (zenon_L529_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H130 zenon_H1dc zenon_Hc1 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c4 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.18 apply (zenon_L528_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.18 apply (zenon_L71_); trivial. % 1.00/1.18 apply (zenon_L12_); trivial. % 1.00/1.18 (* end of lemma zenon_L529_ *) % 1.00/1.18 assert (zenon_L530_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H191 zenon_H145 zenon_H1dc zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hc1 zenon_H1c4 zenon_H18 zenon_H19 zenon_H1a zenon_H121. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.18 apply (zenon_L527_); trivial. % 1.00/1.18 apply (zenon_L529_); trivial. % 1.00/1.18 (* end of lemma zenon_L530_ *) % 1.00/1.18 assert (zenon_L531_ : (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H159 zenon_H16 zenon_H153 zenon_H18 zenon_H1a zenon_H19. % 1.00/1.18 generalize (zenon_H159 (a528)). zenon_intro zenon_H2f2. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H2f2); [ zenon_intro zenon_H15 | zenon_intro zenon_H2f3 ]. % 1.00/1.18 exact (zenon_H15 zenon_H16). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f4 ]. % 1.00/1.18 apply (zenon_L489_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H1e | zenon_intro zenon_H20 ]. % 1.00/1.18 exact (zenon_H18 zenon_H1e). % 1.00/1.18 exact (zenon_H20 zenon_H19). % 1.00/1.18 (* end of lemma zenon_L531_ *) % 1.00/1.18 assert (zenon_L532_ : ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70)))))) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (c0_1 (a500)) -> (ndr1_0) -> (~(hskp0)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H29b zenon_H19 zenon_H1a zenon_H18 zenon_H159 zenon_H24 zenon_H23 zenon_H22 zenon_H16 zenon_H299. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H153 | zenon_intro zenon_H29c ]. % 1.00/1.18 apply (zenon_L531_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H21 | zenon_intro zenon_H29a ]. % 1.00/1.18 apply (zenon_L13_); trivial. % 1.00/1.18 exact (zenon_H299 zenon_H29a). % 1.00/1.18 (* end of lemma zenon_L532_ *) % 1.00/1.18 assert (zenon_L533_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(hskp0)) -> (ndr1_0) -> (c0_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a500)) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp22)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H166 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H72 zenon_H299 zenon_H16 zenon_H22 zenon_H23 zenon_H24 zenon_H18 zenon_H1a zenon_H19 zenon_H29b zenon_H164. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H37 | zenon_intro zenon_H167 ]. % 1.00/1.18 apply (zenon_L487_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H159 | zenon_intro zenon_H165 ]. % 1.00/1.18 apply (zenon_L532_); trivial. % 1.00/1.18 exact (zenon_H164 zenon_H165). % 1.00/1.18 (* end of lemma zenon_L533_ *) % 1.00/1.18 assert (zenon_L534_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp22)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (c0_1 (a500)) -> (~(hskp0)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1dc zenon_H164 zenon_H29b zenon_H24 zenon_H23 zenon_H22 zenon_H299 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H166 zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.18 apply (zenon_L533_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.18 apply (zenon_L57_); trivial. % 1.00/1.18 apply (zenon_L12_); trivial. % 1.00/1.18 (* end of lemma zenon_L534_ *) % 1.00/1.18 assert (zenon_L535_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp22)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (c0_1 (a500)) -> (~(hskp0)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H108 zenon_H28f zenon_H1cc zenon_H1cb zenon_H1ca zenon_H1dc zenon_H164 zenon_H29b zenon_H24 zenon_H23 zenon_H22 zenon_H299 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H166 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.18 apply (zenon_L533_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.18 apply (zenon_L123_); trivial. % 1.00/1.18 apply (zenon_L534_); trivial. % 1.00/1.18 (* end of lemma zenon_L535_ *) % 1.00/1.18 assert (zenon_L536_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H2d zenon_H10b zenon_H1dc zenon_H166 zenon_H164 zenon_H18 zenon_H1a zenon_H19 zenon_H299 zenon_H29b zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2b2 zenon_H20d zenon_H20c zenon_H28f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.18 apply (zenon_L533_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.18 apply (zenon_L123_); trivial. % 1.00/1.18 apply (zenon_L513_); trivial. % 1.00/1.18 apply (zenon_L535_); trivial. % 1.00/1.18 (* end of lemma zenon_L536_ *) % 1.00/1.18 assert (zenon_L537_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> (ndr1_0) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp26)) -> (~(hskp25)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H33 zenon_H10b zenon_H1dc zenon_H166 zenon_H164 zenon_H18 zenon_H1a zenon_H19 zenon_H299 zenon_H29b zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2b2 zenon_H20d zenon_H20c zenon_H28f zenon_Hc3 zenon_Hc1 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_H16 zenon_H70 zenon_H6e zenon_H6c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.18 apply (zenon_L244_); trivial. % 1.00/1.18 apply (zenon_L536_); trivial. % 1.00/1.18 (* end of lemma zenon_L537_ *) % 1.00/1.18 assert (zenon_L538_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a559))) -> (~(c2_1 (a559))) -> (~(c0_1 (a559))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a500)) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H28f zenon_H75 zenon_H74 zenon_H73 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2b2 zenon_H22 zenon_H24 zenon_H23 zenon_H20d zenon_H20c zenon_H16 zenon_Hef. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.18 apply (zenon_L31_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.18 apply (zenon_L123_); trivial. % 1.00/1.18 apply (zenon_L513_); trivial. % 1.00/1.18 (* end of lemma zenon_L538_ *) % 1.00/1.18 assert (zenon_L539_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c3_1 (a559))) -> (~(c2_1 (a559))) -> (~(c0_1 (a559))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H198 zenon_H75 zenon_H74 zenon_H73 zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H16 zenon_H3. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 1.00/1.18 apply (zenon_L31_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 1.00/1.18 apply (zenon_L57_); trivial. % 1.00/1.18 exact (zenon_H3 zenon_H4). % 1.00/1.18 (* end of lemma zenon_L539_ *) % 1.00/1.18 assert (zenon_L540_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c3_1 (a559))) -> (~(c2_1 (a559))) -> (~(c0_1 (a559))) -> (~(hskp6)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H108 zenon_H28f zenon_H1cc zenon_H1cb zenon_H1ca zenon_H198 zenon_H75 zenon_H74 zenon_H73 zenon_H3. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.18 apply (zenon_L31_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.18 apply (zenon_L123_); trivial. % 1.00/1.18 apply (zenon_L539_); trivial. % 1.00/1.18 (* end of lemma zenon_L540_ *) % 1.00/1.18 assert (zenon_L541_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a559))) -> (~(c2_1 (a559))) -> (~(c3_1 (a559))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H2d zenon_H10b zenon_H3 zenon_H198 zenon_H73 zenon_H74 zenon_H75 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2b2 zenon_H20d zenon_H20c zenon_H28f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.18 apply (zenon_L538_); trivial. % 1.00/1.18 apply (zenon_L540_); trivial. % 1.00/1.18 (* end of lemma zenon_L541_ *) % 1.00/1.18 assert (zenon_L542_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H7e zenon_H33 zenon_H10b zenon_H3 zenon_H198 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2b2 zenon_H28f zenon_H20b zenon_H20c zenon_H20d zenon_H214 zenon_H216. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.18 apply (zenon_L161_); trivial. % 1.00/1.18 apply (zenon_L541_); trivial. % 1.00/1.18 (* end of lemma zenon_L542_ *) % 1.00/1.18 assert (zenon_L543_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a505))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (~(hskp22)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H83 zenon_H3 zenon_H198 zenon_H20b zenon_H214 zenon_H216 zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H6c zenon_H70 zenon_H16 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc1 zenon_Hc3 zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H164 zenon_H166 zenon_H1dc zenon_H10b zenon_H33. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.18 apply (zenon_L537_); trivial. % 1.00/1.18 apply (zenon_L542_); trivial. % 1.00/1.18 (* end of lemma zenon_L543_ *) % 1.00/1.18 assert (zenon_L544_ : (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a558))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a558))) -> (c2_1 (a558)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H153 zenon_H16 zenon_H86 zenon_H1de zenon_H85 zenon_H87. % 1.00/1.18 generalize (zenon_H153 (a558)). zenon_intro zenon_H2f5. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H2f5); [ zenon_intro zenon_H15 | zenon_intro zenon_H2f6 ]. % 1.00/1.18 exact (zenon_H15 zenon_H16). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H8d | zenon_intro zenon_H2f7 ]. % 1.00/1.18 exact (zenon_H86 zenon_H8d). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H8c ]. % 1.00/1.18 generalize (zenon_H1de (a558)). zenon_intro zenon_H2f9. % 1.00/1.18 apply (zenon_imply_s _ _ zenon_H2f9); [ zenon_intro zenon_H15 | zenon_intro zenon_H2fa ]. % 1.00/1.18 exact (zenon_H15 zenon_H16). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H8b | zenon_intro zenon_H2fb ]. % 1.00/1.18 exact (zenon_H85 zenon_H8b). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H2fc | zenon_intro zenon_H8c ]. % 1.00/1.18 exact (zenon_H2f8 zenon_H2fc). % 1.00/1.18 exact (zenon_H8c zenon_H87). % 1.00/1.18 exact (zenon_H8c zenon_H87). % 1.00/1.18 (* end of lemma zenon_L544_ *) % 1.00/1.18 assert (zenon_L545_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (c2_1 (a558)) -> (~(c0_1 (a558))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c3_1 (a558))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H174 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H72 zenon_H87 zenon_H85 zenon_H1de zenon_H86 zenon_H16 zenon_H168. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H176 ]. % 1.00/1.18 apply (zenon_L480_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H153 | zenon_intro zenon_H169 ]. % 1.00/1.18 apply (zenon_L544_); trivial. % 1.00/1.18 exact (zenon_H168 zenon_H169). % 1.00/1.18 (* end of lemma zenon_L545_ *) % 1.00/1.18 assert (zenon_L546_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp29)) -> (c2_1 (a500)) -> (c3_1 (a500)) -> (c0_1 (a500)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (c2_1 (a558)) -> (~(c0_1 (a558))) -> (~(c3_1 (a558))) -> (~(hskp21)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H228 zenon_Hef zenon_H23 zenon_H24 zenon_H22 zenon_H2b2 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H174 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H87 zenon_H85 zenon_H86 zenon_H168 zenon_H28f zenon_H20d zenon_H20c zenon_H20b zenon_H16 zenon_H1d6. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1de | zenon_intro zenon_H229 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.18 apply (zenon_L545_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.18 apply (zenon_L123_); trivial. % 1.00/1.18 apply (zenon_L513_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H20a | zenon_intro zenon_H1d7 ]. % 1.00/1.18 apply (zenon_L159_); trivial. % 1.00/1.18 exact (zenon_H1d6 zenon_H1d7). % 1.00/1.18 (* end of lemma zenon_L546_ *) % 1.00/1.18 assert (zenon_L547_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (c0_1 (a554)) -> (~(c3_1 (a554))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp7)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H11d zenon_H16c zenon_H16b zenon_H17 zenon_H16 zenon_He3 zenon_H11b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H37 | zenon_intro zenon_H11e ]. % 1.00/1.18 apply (zenon_L381_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_He4 | zenon_intro zenon_H11c ]. % 1.00/1.18 exact (zenon_He3 zenon_He4). % 1.00/1.18 exact (zenon_H11b zenon_H11c). % 1.00/1.18 (* end of lemma zenon_L547_ *) % 1.00/1.18 assert (zenon_L548_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c3_1 (a558))) -> (~(c0_1 (a558))) -> (c2_1 (a558)) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c0_1 (a505))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H2d zenon_H10b zenon_H1dc zenon_H16b zenon_H16c zenon_He3 zenon_H11b zenon_H11d zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H86 zenon_H85 zenon_H87 zenon_H168 zenon_H174 zenon_H20b zenon_H1d6 zenon_H228. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.18 apply (zenon_L546_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1de | zenon_intro zenon_H229 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.18 apply (zenon_L545_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.18 apply (zenon_L123_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.18 apply (zenon_L545_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.18 apply (zenon_L57_); trivial. % 1.00/1.18 apply (zenon_L547_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H20a | zenon_intro zenon_H1d7 ]. % 1.00/1.18 apply (zenon_L159_); trivial. % 1.00/1.18 exact (zenon_H1d6 zenon_H1d7). % 1.00/1.18 (* end of lemma zenon_L548_ *) % 1.00/1.18 assert (zenon_L549_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> False). % 1.00/1.18 do 0 intro. intros zenon_Hbc zenon_H33 zenon_H10b zenon_H1dc zenon_H16b zenon_H16c zenon_He3 zenon_H11b zenon_H11d zenon_H28f zenon_H2b2 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H168 zenon_H174 zenon_H1d6 zenon_H228 zenon_H20b zenon_H20c zenon_H20d zenon_H214 zenon_H216. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.18 apply (zenon_L161_); trivial. % 1.00/1.18 apply (zenon_L548_); trivial. % 1.00/1.18 (* end of lemma zenon_L549_ *) % 1.00/1.18 assert (zenon_L550_ : ((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H175 zenon_Hc0 zenon_He3 zenon_H11b zenon_H11d zenon_H168 zenon_H174 zenon_H1d6 zenon_H228 zenon_H33 zenon_H10b zenon_H1dc zenon_H166 zenon_H164 zenon_H18 zenon_H1a zenon_H19 zenon_H299 zenon_H29b zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2b2 zenon_H20d zenon_H20c zenon_H28f zenon_Hc3 zenon_Hc1 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_H70 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116 zenon_H216 zenon_H214 zenon_H20b zenon_H198 zenon_H3 zenon_H83. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.18 apply (zenon_L543_); trivial. % 1.00/1.18 apply (zenon_L549_); trivial. % 1.00/1.18 (* end of lemma zenon_L550_ *) % 1.00/1.18 assert (zenon_L551_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H28d zenon_H17c zenon_H17b zenon_H17a zenon_H6e zenon_H6c zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H179 | zenon_intro zenon_H28e ]. % 1.00/1.18 apply (zenon_L89_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H10c | zenon_intro zenon_H17 ]. % 1.00/1.18 apply (zenon_L243_); trivial. % 1.00/1.18 apply (zenon_L12_); trivial. % 1.00/1.18 (* end of lemma zenon_L551_ *) % 1.00/1.18 assert (zenon_L552_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (ndr1_0) -> (~(c0_1 (a540))) -> (c1_1 (a540)) -> (c3_1 (a540)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H83 zenon_H33 zenon_H10b zenon_H3 zenon_H198 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2b2 zenon_H28f zenon_H20b zenon_H20c zenon_H20d zenon_H214 zenon_H216 zenon_H16 zenon_H17a zenon_H17b zenon_H17c zenon_H70 zenon_H6c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H18 zenon_H19 zenon_H1a zenon_H28d. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.18 apply (zenon_L551_); trivial. % 1.00/1.18 apply (zenon_L542_); trivial. % 1.00/1.18 (* end of lemma zenon_L552_ *) % 1.00/1.18 assert (zenon_L553_ : ((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H175 zenon_Hc0 zenon_H1dc zenon_He3 zenon_H11b zenon_H11d zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H168 zenon_H174 zenon_H1d6 zenon_H228 zenon_H28d zenon_H1a zenon_H19 zenon_H18 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H17c zenon_H17b zenon_H17a zenon_H216 zenon_H214 zenon_H20d zenon_H20c zenon_H20b zenon_H28f zenon_H2b2 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H198 zenon_H3 zenon_H10b zenon_H33 zenon_H83. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.18 apply (zenon_L552_); trivial. % 1.00/1.18 apply (zenon_L549_); trivial. % 1.00/1.18 (* end of lemma zenon_L553_ *) % 1.00/1.18 assert (zenon_L554_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H183 zenon_H173 zenon_Hc0 zenon_H1dc zenon_He3 zenon_H11b zenon_H11d zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H168 zenon_H174 zenon_H1d6 zenon_H228 zenon_H28d zenon_H1a zenon_H19 zenon_H18 zenon_H70 zenon_H216 zenon_H214 zenon_H20d zenon_H20c zenon_H20b zenon_H28f zenon_H2b2 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H198 zenon_H3 zenon_H10b zenon_H33 zenon_H83 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H3b zenon_H39 zenon_H3a zenon_H158. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.18 apply (zenon_L343_); trivial. % 1.00/1.18 apply (zenon_L553_); trivial. % 1.00/1.18 (* end of lemma zenon_L554_ *) % 1.00/1.18 assert (zenon_L555_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H173 zenon_He8 zenon_H166 zenon_H164 zenon_H168 zenon_H174 zenon_H134 zenon_H135 zenon_He3 zenon_H4b zenon_He5 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc1 zenon_Hc3 zenon_H16 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H3b zenon_H39 zenon_H3a zenon_H158. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.18 apply (zenon_L343_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_L48_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.18 apply (zenon_L75_); trivial. % 1.00/1.18 apply (zenon_L347_); trivial. % 1.00/1.18 (* end of lemma zenon_L555_ *) % 1.00/1.18 assert (zenon_L556_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> (c3_1 (a530)) -> (c2_1 (a530)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a530))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H28d zenon_H17c zenon_H17b zenon_H17a zenon_H223 zenon_H21c zenon_H1de zenon_H21b zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H179 | zenon_intro zenon_H28e ]. % 1.00/1.18 apply (zenon_L89_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H10c | zenon_intro zenon_H17 ]. % 1.00/1.18 apply (zenon_L165_); trivial. % 1.00/1.18 apply (zenon_L12_); trivial. % 1.00/1.18 (* end of lemma zenon_L556_ *) % 1.00/1.18 assert (zenon_L557_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp3)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H183 zenon_H228 zenon_H1a zenon_H19 zenon_H18 zenon_H21b zenon_H21c zenon_H223 zenon_H28d zenon_H20d zenon_H20c zenon_H20b zenon_H1d6. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1de | zenon_intro zenon_H229 ]. % 1.00/1.18 apply (zenon_L556_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H20a | zenon_intro zenon_H1d7 ]. % 1.00/1.18 apply (zenon_L159_); trivial. % 1.00/1.18 exact (zenon_H1d6 zenon_H1d7). % 1.00/1.18 (* end of lemma zenon_L557_ *) % 1.00/1.18 assert (zenon_L558_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp29)) -> (ndr1_0) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(hskp28)) -> (~(hskp6)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H1e2 zenon_Hef zenon_H16 zenon_H21b zenon_H21c zenon_H223 zenon_H2b2 zenon_Hf zenon_H3. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1de | zenon_intro zenon_H1e3 ]. % 1.00/1.18 apply (zenon_L521_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H10 | zenon_intro zenon_H4 ]. % 1.00/1.18 exact (zenon_Hf zenon_H10). % 1.00/1.18 exact (zenon_H3 zenon_H4). % 1.00/1.18 (* end of lemma zenon_L558_ *) % 1.00/1.18 assert (zenon_L559_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H7e zenon_H33 zenon_H20d zenon_H20c zenon_H1e2 zenon_H3 zenon_H21b zenon_H21c zenon_H223 zenon_H2b2 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H198 zenon_H28f zenon_H10b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.18 apply (zenon_L558_); trivial. % 1.00/1.18 apply (zenon_L540_); trivial. % 1.00/1.18 apply (zenon_L541_); trivial. % 1.00/1.18 (* end of lemma zenon_L559_ *) % 1.00/1.18 assert (zenon_L560_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (~(hskp22)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H83 zenon_H1e2 zenon_H3 zenon_H21b zenon_H21c zenon_H223 zenon_H198 zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H6c zenon_H70 zenon_H16 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc1 zenon_Hc3 zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H164 zenon_H166 zenon_H1dc zenon_H10b zenon_H33. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.18 apply (zenon_L537_); trivial. % 1.00/1.18 apply (zenon_L559_); trivial. % 1.00/1.18 (* end of lemma zenon_L560_ *) % 1.00/1.18 assert (zenon_L561_ : ((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c0_1 (a505))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c3_1 (a530)) -> (c2_1 (a530)) -> (~(c1_1 (a530))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H175 zenon_Hc0 zenon_He3 zenon_H11b zenon_H11d zenon_H168 zenon_H174 zenon_H20b zenon_H1d6 zenon_H228 zenon_H33 zenon_H10b zenon_H1dc zenon_H166 zenon_H164 zenon_H18 zenon_H1a zenon_H19 zenon_H299 zenon_H29b zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2b2 zenon_H20d zenon_H20c zenon_H28f zenon_Hc3 zenon_Hc1 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_H70 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116 zenon_H198 zenon_H223 zenon_H21c zenon_H21b zenon_H3 zenon_H1e2 zenon_H83. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.18 apply (zenon_L560_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.18 apply (zenon_L167_); trivial. % 1.00/1.18 apply (zenon_L548_); trivial. % 1.00/1.18 (* end of lemma zenon_L561_ *) % 1.00/1.18 assert (zenon_L562_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H191 zenon_H192 zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H21b zenon_H21c zenon_H223 zenon_H18 zenon_H19 zenon_H1a zenon_H28d zenon_H158 zenon_H3a zenon_H39 zenon_H3b zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H166 zenon_H173. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.18 apply (zenon_L357_); trivial. % 1.00/1.18 apply (zenon_L557_); trivial. % 1.00/1.18 (* end of lemma zenon_L562_ *) % 1.00/1.18 assert (zenon_L563_ : ((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp7)) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp3)) -> False). % 1.00/1.18 do 0 intro. intros zenon_H147 zenon_H228 zenon_H11b zenon_H1fd zenon_H1fe zenon_H1ff zenon_H23c zenon_H20d zenon_H20c zenon_H20b zenon_H1d6. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1de | zenon_intro zenon_H229 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.00/1.18 apply (zenon_L150_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.00/1.18 apply (zenon_L493_); trivial. % 1.00/1.18 exact (zenon_H11b zenon_H11c). % 1.00/1.18 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H20a | zenon_intro zenon_H1d7 ]. % 1.00/1.18 apply (zenon_L159_); trivial. % 1.00/1.18 exact (zenon_H1d6 zenon_H1d7). % 1.00/1.18 (* end of lemma zenon_L563_ *) % 1.00/1.18 assert (zenon_L564_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H146 zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H1fd zenon_H1fe zenon_H1ff zenon_H11b zenon_H23c zenon_H1 zenon_H3 zenon_H7. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.18 apply (zenon_L4_); trivial. % 1.00/1.18 apply (zenon_L563_); trivial. % 1.00/1.18 (* end of lemma zenon_L564_ *) % 1.00/1.18 assert (zenon_L565_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H24d zenon_H61 zenon_H195 zenon_H174 zenon_H4b zenon_H5c zenon_H24b zenon_H5b zenon_H7 zenon_H3 zenon_H23c zenon_H11b zenon_H1ff zenon_H1fe zenon_H1fd zenon_H20b zenon_H20c zenon_H20d zenon_H1d6 zenon_H228 zenon_H146. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.18 apply (zenon_L564_); trivial. % 1.00/1.18 apply (zenon_L198_); trivial. % 1.00/1.18 (* end of lemma zenon_L565_ *) % 1.00/1.18 assert (zenon_L566_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H251 zenon_H146 zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H1fd zenon_H1fe zenon_H1ff zenon_H11b zenon_H23c zenon_H3 zenon_H7 zenon_H5b zenon_H24b zenon_H174 zenon_H4b zenon_H5c zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H11 zenon_H7f zenon_H195 zenon_H61. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.18 apply (zenon_L564_); trivial. % 1.00/1.18 apply (zenon_L499_); trivial. % 1.00/1.18 apply (zenon_L565_); trivial. % 1.00/1.18 (* end of lemma zenon_L566_ *) % 1.00/1.18 assert (zenon_L567_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(hskp5)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp4)) -> (~(hskp31)) -> (ndr1_0) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp21)) -> False). % 1.00/1.18 do 0 intro. intros zenon_He8 zenon_H1ff zenon_H1fe zenon_H1fd zenon_He3 zenon_H134 zenon_H135 zenon_He5 zenon_H174 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H4b zenon_H49 zenon_H16 zenon_H3b zenon_H3a zenon_H39 zenon_H5c zenon_H168. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_L150_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.18 apply (zenon_L75_); trivial. % 1.00/1.18 apply (zenon_L504_); trivial. % 1.00/1.18 (* end of lemma zenon_L567_ *) % 1.00/1.18 assert (zenon_L568_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H13f zenon_H195 zenon_H11d zenon_H11b zenon_He8 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H5c zenon_H39 zenon_H3a zenon_H3b zenon_H174 zenon_He3 zenon_H4b zenon_He5 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H22e zenon_H9 zenon_H20d zenon_H20c zenon_H20b zenon_H24b zenon_H1d6 zenon_H5b. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.18 apply (zenon_L567_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_L150_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.18 apply (zenon_L507_); trivial. % 1.00/1.18 apply (zenon_L306_); trivial. % 1.00/1.18 apply (zenon_L365_); trivial. % 1.00/1.18 (* end of lemma zenon_L568_ *) % 1.00/1.18 assert (zenon_L569_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H22a zenon_H228 zenon_H23c zenon_H144 zenon_H195 zenon_H11d zenon_H11b zenon_He8 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H5c zenon_H39 zenon_H3a zenon_H3b zenon_H174 zenon_He3 zenon_H4b zenon_He5 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H22e zenon_H9 zenon_H20d zenon_H20c zenon_H20b zenon_H24b zenon_H1d6 zenon_H5b zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H33 zenon_H10b zenon_H28f zenon_H2b2 zenon_H216 zenon_H1fc. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.18 apply (zenon_L476_); trivial. % 1.00/1.18 apply (zenon_L568_); trivial. % 1.00/1.18 apply (zenon_L520_); trivial. % 1.00/1.18 apply (zenon_L182_); trivial. % 1.00/1.18 (* end of lemma zenon_L569_ *) % 1.00/1.18 assert (zenon_L570_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (ndr1_0) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp26)) -> (~(hskp25)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H33 zenon_H10b zenon_H1dc zenon_H166 zenon_H164 zenon_H18 zenon_H1a zenon_H19 zenon_H299 zenon_H29b zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2b2 zenon_H20d zenon_H20c zenon_H28f zenon_H16 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H70 zenon_H6e zenon_H6c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.18 apply (zenon_L251_); trivial. % 1.00/1.18 apply (zenon_L536_); trivial. % 1.00/1.18 (* end of lemma zenon_L570_ *) % 1.00/1.18 assert (zenon_L571_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a505))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (~(hskp22)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H83 zenon_H3 zenon_H198 zenon_H20b zenon_H214 zenon_H216 zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H6c zenon_H70 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H16 zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H164 zenon_H166 zenon_H1dc zenon_H10b zenon_H33. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.18 apply (zenon_L570_); trivial. % 1.00/1.18 apply (zenon_L542_); trivial. % 1.00/1.18 (* end of lemma zenon_L571_ *) % 1.00/1.18 assert (zenon_L572_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.00/1.18 do 0 intro. intros zenon_H252 zenon_H23e zenon_H251 zenon_H173 zenon_H166 zenon_H158 zenon_H184 zenon_H192 zenon_H146 zenon_H143 zenon_H228 zenon_H1d6 zenon_Hc3 zenon_H11b zenon_H23c zenon_H4b zenon_H218 zenon_H3 zenon_H7 zenon_H5b zenon_H24b zenon_H174 zenon_H5c zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H7f zenon_H195 zenon_H61 zenon_H22a zenon_H144 zenon_H11d zenon_H22e zenon_H28f zenon_H2b2 zenon_He5 zenon_He3 zenon_He8 zenon_H10b zenon_H1c3 zenon_H33 zenon_H216 zenon_H1fc zenon_Hc0 zenon_H299 zenon_H29b zenon_H70 zenon_H116 zenon_H198 zenon_H83 zenon_H28d zenon_H121 zenon_H1c4 zenon_H1dc zenon_H145 zenon_H1e2 zenon_H36 zenon_H209. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.18 apply (zenon_L494_); trivial. % 1.00/1.18 apply (zenon_L499_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.18 apply (zenon_L494_); trivial. % 1.00/1.18 apply (zenon_L94_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.18 apply (zenon_L494_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.18 apply (zenon_L525_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.18 apply (zenon_L163_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.18 apply (zenon_L476_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_L48_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.18 apply (zenon_L75_); trivial. % 1.00/1.18 apply (zenon_L504_); trivial. % 1.00/1.18 apply (zenon_L526_); trivial. % 1.00/1.18 apply (zenon_L530_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.18 apply (zenon_L343_); trivial. % 1.00/1.18 apply (zenon_L550_); trivial. % 1.00/1.18 apply (zenon_L554_); trivial. % 1.00/1.18 apply (zenon_L365_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.18 apply (zenon_L163_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.18 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.18 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.18 apply (zenon_L476_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.18 apply (zenon_L555_); trivial. % 1.00/1.18 apply (zenon_L557_); trivial. % 1.00/1.18 apply (zenon_L365_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.18 apply (zenon_L343_); trivial. % 1.00/1.18 apply (zenon_L561_); trivial. % 1.00/1.18 apply (zenon_L557_); trivial. % 1.00/1.18 apply (zenon_L562_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.18 apply (zenon_L566_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.18 apply (zenon_L564_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.18 apply (zenon_L569_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.18 apply (zenon_L476_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.18 apply (zenon_L567_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.00/1.18 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.18 apply (zenon_L150_); trivial. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.18 apply (zenon_L75_); trivial. % 1.00/1.18 apply (zenon_L306_); trivial. % 1.00/1.18 apply (zenon_L365_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.18 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.18 apply (zenon_L343_); trivial. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.18 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.18 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.18 apply (zenon_L571_); trivial. % 1.00/1.18 apply (zenon_L549_); trivial. % 1.00/1.18 apply (zenon_L554_); trivial. % 1.00/1.18 apply (zenon_L365_); trivial. % 1.00/1.18 apply (zenon_L182_); trivial. % 1.00/1.18 (* end of lemma zenon_L572_ *) % 1.00/1.18 assert (zenon_L573_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp30)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H272 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H16 zenon_H49 zenon_H8e. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H273 ]. % 1.00/1.19 apply (zenon_L123_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H4a | zenon_intro zenon_H8f ]. % 1.00/1.19 exact (zenon_H49 zenon_H4a). % 1.00/1.19 exact (zenon_H8e zenon_H8f). % 1.00/1.19 (* end of lemma zenon_L573_ *) % 1.00/1.19 assert (zenon_L574_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (ndr1_0) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> (~(hskp30)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H5b zenon_H57 zenon_H47 zenon_Hb zenon_H16 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H8e zenon_H272. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.19 apply (zenon_L573_); trivial. % 1.00/1.19 apply (zenon_L23_); trivial. % 1.00/1.19 (* end of lemma zenon_L574_ *) % 1.00/1.19 assert (zenon_L575_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp1)) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hb6 zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H28f zenon_Hb2. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 1.00/1.19 apply (zenon_L184_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.19 apply (zenon_L487_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.19 apply (zenon_L123_); trivial. % 1.00/1.19 apply (zenon_L99_); trivial. % 1.00/1.19 exact (zenon_Hb2 zenon_Hb3). % 1.00/1.19 (* end of lemma zenon_L575_ *) % 1.00/1.19 assert (zenon_L576_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1d3 zenon_Hbd zenon_H270 zenon_Hb2 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H28f zenon_H244 zenon_H243 zenon_H242 zenon_H272 zenon_Hb zenon_H47 zenon_H57 zenon_H5b. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 1.00/1.19 apply (zenon_L574_); trivial. % 1.00/1.19 apply (zenon_L575_); trivial. % 1.00/1.19 (* end of lemma zenon_L576_ *) % 1.00/1.19 assert (zenon_L577_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (c0_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a500)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp6)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1dc zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H37 zenon_H198 zenon_H47 zenon_H16 zenon_H38 zenon_H22 zenon_H23 zenon_H24 zenon_H134 zenon_H135 zenon_H142 zenon_H1f1 zenon_H3. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.19 apply (zenon_L487_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.19 apply (zenon_L140_); trivial. % 1.00/1.19 apply (zenon_L143_); trivial. % 1.00/1.19 (* end of lemma zenon_L577_ *) % 1.00/1.19 assert (zenon_L578_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp9)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp5)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp6)) -> (~(c3_1 (a558))) -> (~(c0_1 (a558))) -> (c2_1 (a558)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp1)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H2d zenon_H276 zenon_Hc1 zenon_H22e zenon_H17c zenon_H17b zenon_H17a zenon_H64 zenon_H63 zenon_H9 zenon_H196 zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_He3 zenon_H1dc zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H198 zenon_H47 zenon_H134 zenon_H135 zenon_H142 zenon_H1f1 zenon_H3 zenon_H86 zenon_H85 zenon_H87 zenon_H1f8 zenon_Hb2. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.00/1.19 apply (zenon_L184_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.00/1.19 apply (zenon_L481_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 1.00/1.19 apply (zenon_L184_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 1.00/1.19 apply (zenon_L544_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 1.00/1.19 apply (zenon_L577_); trivial. % 1.00/1.19 exact (zenon_He3 zenon_He4). % 1.00/1.19 exact (zenon_Hb2 zenon_Hb3). % 1.00/1.19 (* end of lemma zenon_L578_ *) % 1.00/1.19 assert (zenon_L579_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hbc zenon_H33 zenon_H276 zenon_H1f8 zenon_He3 zenon_H1f1 zenon_H47 zenon_H142 zenon_H135 zenon_H134 zenon_H198 zenon_H1dc zenon_Hb2 zenon_H270 zenon_H22e zenon_H9 zenon_H17c zenon_H17b zenon_H17a zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hc1 zenon_H196 zenon_H244 zenon_H243 zenon_H242 zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H95 zenon_H93 zenon_H65 zenon_H64 zenon_H63 zenon_H3 zenon_H1e2. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.19 apply (zenon_L137_); trivial. % 1.00/1.19 apply (zenon_L578_); trivial. % 1.00/1.19 (* end of lemma zenon_L579_ *) % 1.00/1.19 assert (zenon_L580_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp1)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1d3 zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_H3 zenon_H1fa zenon_H63 zenon_H64 zenon_H65 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H198 zenon_Hb2. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 1.00/1.19 apply (zenon_L184_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 1.00/1.19 apply (zenon_L487_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 1.00/1.19 apply (zenon_L284_); trivial. % 1.00/1.19 exact (zenon_H3 zenon_H4). % 1.00/1.19 exact (zenon_Hb2 zenon_Hb3). % 1.00/1.19 (* end of lemma zenon_L580_ *) % 1.00/1.19 assert (zenon_L581_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H143 zenon_Hc3 zenon_He5 zenon_H4b zenon_He8 zenon_H144 zenon_H192 zenon_H276 zenon_Hb2 zenon_H270 zenon_H22e zenon_H9 zenon_Hc1 zenon_H196 zenon_H244 zenon_H243 zenon_H242 zenon_H83 zenon_H33 zenon_H1f8 zenon_He3 zenon_H1f1 zenon_H47 zenon_H198 zenon_H1dc zenon_Ha4 zenon_H96 zenon_H95 zenon_H93 zenon_H3 zenon_H1e2 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H90 zenon_H1 zenon_H19e zenon_Hbd zenon_Hc0 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fa zenon_H1fc. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.19 apply (zenon_L476_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.19 apply (zenon_L479_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.19 apply (zenon_L147_); trivial. % 1.00/1.19 apply (zenon_L579_); trivial. % 1.00/1.19 apply (zenon_L580_); trivial. % 1.00/1.19 apply (zenon_L484_); trivial. % 1.00/1.19 (* end of lemma zenon_L581_ *) % 1.00/1.19 assert (zenon_L582_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp23)) -> (~(c3_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H1dc zenon_H11f zenon_H142 zenon_H134 zenon_H135 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H121 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.00/1.19 apply (zenon_L184_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.00/1.19 apply (zenon_L488_); trivial. % 1.00/1.19 apply (zenon_L491_); trivial. % 1.00/1.19 (* end of lemma zenon_L582_ *) % 1.00/1.19 assert (zenon_L583_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H13f zenon_H145 zenon_Hc1 zenon_H1c4 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1dc zenon_H19 zenon_H1a zenon_H18 zenon_H276. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.19 apply (zenon_L582_); trivial. % 1.00/1.19 apply (zenon_L529_); trivial. % 1.00/1.19 (* end of lemma zenon_L583_ *) % 1.00/1.19 assert (zenon_L584_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H144 zenon_H145 zenon_Hc1 zenon_H1c4 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H1dc zenon_H19 zenon_H1a zenon_H18 zenon_H276 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.19 apply (zenon_L476_); trivial. % 1.00/1.19 apply (zenon_L583_); trivial. % 1.00/1.19 (* end of lemma zenon_L584_ *) % 1.00/1.19 assert (zenon_L585_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1a0 zenon_H61 zenon_H7 zenon_H3 zenon_H143 zenon_Hc3 zenon_He8 zenon_H192 zenon_H276 zenon_H22e zenon_Hc1 zenon_H196 zenon_H83 zenon_H33 zenon_H1f8 zenon_H1f1 zenon_H198 zenon_H1dc zenon_Ha4 zenon_H1e2 zenon_H70 zenon_H90 zenon_H19e zenon_Hc0 zenon_H1fa zenon_H145 zenon_H1c4 zenon_H121 zenon_H36 zenon_H146 zenon_H144 zenon_H1c9 zenon_H47 zenon_He3 zenon_H4b zenon_He5 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H5b zenon_H57 zenon_H272 zenon_H242 zenon_H243 zenon_H244 zenon_H28f zenon_Hb2 zenon_H270 zenon_Hbd zenon_H1fc. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.19 apply (zenon_L477_); trivial. % 1.00/1.19 apply (zenon_L576_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.19 apply (zenon_L4_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.19 apply (zenon_L581_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.19 apply (zenon_L584_); trivial. % 1.00/1.19 apply (zenon_L148_); trivial. % 1.00/1.19 apply (zenon_L492_); trivial. % 1.00/1.19 (* end of lemma zenon_L585_ *) % 1.00/1.19 assert (zenon_L586_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (c1_1 (a541)) -> (c0_1 (a541)) -> (~(c2_1 (a541))) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H198 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H37 zenon_H129 zenon_H128 zenon_H127 zenon_H16 zenon_H3. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 1.00/1.19 apply (zenon_L487_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 1.00/1.19 apply (zenon_L71_); trivial. % 1.00/1.19 exact (zenon_H3 zenon_H4). % 1.00/1.19 (* end of lemma zenon_L586_ *) % 1.00/1.19 assert (zenon_L587_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp6)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp1)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H130 zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_H3 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H198 zenon_Hb2. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 1.00/1.19 apply (zenon_L184_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 1.00/1.19 apply (zenon_L586_); trivial. % 1.00/1.19 exact (zenon_Hb2 zenon_Hb3). % 1.00/1.19 (* end of lemma zenon_L587_ *) % 1.00/1.19 assert (zenon_L588_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H61 zenon_H4b zenon_H5c zenon_Hd zenon_Hb zenon_H144 zenon_H145 zenon_H270 zenon_Hb2 zenon_H3 zenon_H198 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H1dc zenon_H276 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_Hb4 zenon_H47 zenon_H57 zenon_H5b zenon_H1fc zenon_H36. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.19 apply (zenon_L7_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.19 apply (zenon_L476_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.19 apply (zenon_L582_); trivial. % 1.00/1.19 apply (zenon_L587_); trivial. % 1.00/1.19 apply (zenon_L125_); trivial. % 1.00/1.19 apply (zenon_L25_); trivial. % 1.00/1.19 (* end of lemma zenon_L588_ *) % 1.00/1.19 assert (zenon_L589_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> (~(c3_1 (a534))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1dc zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H37 zenon_H64 zenon_H63 zenon_H16 zenon_H142 zenon_Hda zenon_H134 zenon_H135. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.19 apply (zenon_L487_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.19 apply (zenon_L49_); trivial. % 1.00/1.19 apply (zenon_L201_); trivial. % 1.00/1.19 (* end of lemma zenon_L589_ *) % 1.00/1.19 assert (zenon_L590_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp1)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H13f zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_H65 zenon_H64 zenon_H63 zenon_H1dc zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1fd zenon_H1fe zenon_H1ff zenon_He8 zenon_Hb2. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 1.00/1.19 apply (zenon_L184_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.19 apply (zenon_L150_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.19 apply (zenon_L589_); trivial. % 1.00/1.19 apply (zenon_L27_); trivial. % 1.00/1.19 exact (zenon_Hb2 zenon_Hb3). % 1.00/1.19 (* end of lemma zenon_L590_ *) % 1.00/1.19 assert (zenon_L591_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (c3_1 (a514)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H144 zenon_H270 zenon_Hb2 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H1dc zenon_H64 zenon_H63 zenon_H65 zenon_He8 zenon_H244 zenon_H243 zenon_H242 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.19 apply (zenon_L476_); trivial. % 1.00/1.19 apply (zenon_L590_); trivial. % 1.00/1.19 (* end of lemma zenon_L591_ *) % 1.00/1.19 assert (zenon_L592_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1a1 zenon_H1fc zenon_H1fa zenon_H3 zenon_H198 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H242 zenon_H243 zenon_H244 zenon_He8 zenon_H1dc zenon_H1ff zenon_H1fe zenon_H1fd zenon_Hb2 zenon_H270 zenon_H144. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.19 apply (zenon_L591_); trivial. % 1.00/1.19 apply (zenon_L580_); trivial. % 1.00/1.19 (* end of lemma zenon_L592_ *) % 1.00/1.19 assert (zenon_L593_ : ((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H23f zenon_H1a0 zenon_H1fa zenon_He8 zenon_H36 zenon_H1fc zenon_H5b zenon_H57 zenon_H47 zenon_Hb4 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H276 zenon_H1dc zenon_H121 zenon_H244 zenon_H243 zenon_H242 zenon_H198 zenon_H3 zenon_Hb2 zenon_H270 zenon_H145 zenon_H144 zenon_Hd zenon_H5c zenon_H4b zenon_H61. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.19 apply (zenon_L588_); trivial. % 1.00/1.19 apply (zenon_L592_); trivial. % 1.00/1.19 (* end of lemma zenon_L593_ *) % 1.00/1.19 assert (zenon_L594_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp13)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H33 zenon_H10b zenon_H1dc zenon_H166 zenon_H164 zenon_H18 zenon_H1a zenon_H19 zenon_H299 zenon_H29b zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2b2 zenon_H20d zenon_H20c zenon_H28f zenon_H1 zenon_H11 zenon_H13. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.19 apply (zenon_L10_); trivial. % 1.00/1.19 apply (zenon_L536_); trivial. % 1.00/1.19 (* end of lemma zenon_L594_ *) % 1.00/1.19 assert (zenon_L595_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a500)) -> (c3_1 (a500)) -> (c0_1 (a500)) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp29)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (ndr1_0) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> (~(hskp30)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H5b zenon_H28f zenon_H23 zenon_H24 zenon_H22 zenon_H20c zenon_H20d zenon_Hef zenon_H2b2 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1d6 zenon_H24b zenon_H16 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H8e zenon_H272. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.19 apply (zenon_L573_); trivial. % 1.00/1.19 apply (zenon_L514_); trivial. % 1.00/1.19 (* end of lemma zenon_L595_ *) % 1.00/1.19 assert (zenon_L596_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(hskp10)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H184 zenon_H17c zenon_H17b zenon_H17a zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_H72 zenon_H11. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H179 | zenon_intro zenon_H187 ]. % 1.00/1.19 apply (zenon_L89_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H12 ]. % 1.00/1.19 apply (zenon_L480_); trivial. % 1.00/1.19 exact (zenon_H11 zenon_H12). % 1.00/1.19 (* end of lemma zenon_L596_ *) % 1.00/1.19 assert (zenon_L597_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp10)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c0_1 (a540))) -> (c1_1 (a540)) -> (c3_1 (a540)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hb6 zenon_H28f zenon_H11 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H17a zenon_H17b zenon_H17c zenon_H184 zenon_H1cc zenon_H1cb zenon_H1ca. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.19 apply (zenon_L596_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.19 apply (zenon_L123_); trivial. % 1.00/1.19 apply (zenon_L99_); trivial. % 1.00/1.19 (* end of lemma zenon_L597_ *) % 1.00/1.19 assert (zenon_L598_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp3)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H56 zenon_H28f zenon_H1cc zenon_H1cb zenon_H1ca zenon_H1dc zenon_H1d6 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H24b zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.19 apply (zenon_L496_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.19 apply (zenon_L123_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.19 apply (zenon_L496_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.19 apply (zenon_L57_); trivial. % 1.00/1.19 apply (zenon_L12_); trivial. % 1.00/1.19 (* end of lemma zenon_L598_ *) % 1.00/1.19 assert (zenon_L599_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a504)) -> (c3_1 (a504)) -> (c0_1 (a504)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (ndr1_0) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> (~(hskp30)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H5b zenon_H28f zenon_Hf4 zenon_Hf5 zenon_Hf6 zenon_H18 zenon_H19 zenon_H1a zenon_H1dc zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1d6 zenon_H24b zenon_H16 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H8e zenon_H272. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.19 apply (zenon_L573_); trivial. % 1.00/1.19 apply (zenon_L598_); trivial. % 1.00/1.19 (* end of lemma zenon_L599_ *) % 1.00/1.19 assert (zenon_L600_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(hskp13)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1d3 zenon_H192 zenon_H5b zenon_H1d6 zenon_H24b zenon_H272 zenon_H184 zenon_Hbd zenon_H13 zenon_H11 zenon_H1 zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H166 zenon_H1dc zenon_H10b zenon_H33. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.19 apply (zenon_L594_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.19 apply (zenon_L10_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 1.00/1.19 apply (zenon_L595_); trivial. % 1.00/1.19 apply (zenon_L597_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 1.00/1.19 apply (zenon_L599_); trivial. % 1.00/1.19 apply (zenon_L597_); trivial. % 1.00/1.19 (* end of lemma zenon_L600_ *) % 1.00/1.19 assert (zenon_L601_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c1_1 (a541)) -> (c0_1 (a541)) -> (~(c2_1 (a541))) -> (~(hskp6)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H7e zenon_H198 zenon_H129 zenon_H128 zenon_H127 zenon_H3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 1.00/1.19 apply (zenon_L31_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 1.00/1.19 apply (zenon_L71_); trivial. % 1.00/1.19 exact (zenon_H3 zenon_H4). % 1.00/1.19 (* end of lemma zenon_L601_ *) % 1.00/1.19 assert (zenon_L602_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a541)) -> (c0_1 (a541)) -> (~(c2_1 (a541))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H83 zenon_H198 zenon_H3 zenon_H129 zenon_H128 zenon_H127 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.19 apply (zenon_L30_); trivial. % 1.00/1.19 apply (zenon_L601_); trivial. % 1.00/1.19 (* end of lemma zenon_L602_ *) % 1.00/1.19 assert (zenon_L603_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp21)) -> (~(c3_1 (a558))) -> (~(c0_1 (a558))) -> (c2_1 (a558)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H228 zenon_H168 zenon_H86 zenon_H85 zenon_H87 zenon_H72 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H20d zenon_H20c zenon_H20b zenon_H16 zenon_H1d6. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1de | zenon_intro zenon_H229 ]. % 1.00/1.19 apply (zenon_L545_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H20a | zenon_intro zenon_H1d7 ]. % 1.00/1.19 apply (zenon_L159_); trivial. % 1.00/1.19 exact (zenon_H1d6 zenon_H1d7). % 1.00/1.19 (* end of lemma zenon_L603_ *) % 1.00/1.19 assert (zenon_L604_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (c2_1 (a558)) -> (~(c0_1 (a558))) -> (~(c3_1 (a558))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H228 zenon_H87 zenon_H85 zenon_H86 zenon_H153 zenon_H20d zenon_H20c zenon_H20b zenon_H16 zenon_H1d6. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H1de | zenon_intro zenon_H229 ]. % 1.00/1.19 apply (zenon_L544_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H20a | zenon_intro zenon_H1d7 ]. % 1.00/1.19 apply (zenon_L159_); trivial. % 1.00/1.19 exact (zenon_H1d6 zenon_H1d7). % 1.00/1.19 (* end of lemma zenon_L604_ *) % 1.00/1.19 assert (zenon_L605_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp3)) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hbc zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H174 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H168 zenon_H228 zenon_H20d zenon_H20c zenon_H20b zenon_H1d6. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.00/1.19 apply (zenon_L184_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.00/1.19 apply (zenon_L603_); trivial. % 1.00/1.19 apply (zenon_L604_); trivial. % 1.00/1.19 (* end of lemma zenon_L605_ *) % 1.00/1.19 assert (zenon_L606_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H130 zenon_Hc0 zenon_H276 zenon_H174 zenon_H168 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H20b zenon_H20c zenon_H20d zenon_H1d6 zenon_H228 zenon_H244 zenon_H243 zenon_H242 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H3 zenon_H198 zenon_H83. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.19 apply (zenon_L602_); trivial. % 1.00/1.19 apply (zenon_L605_); trivial. % 1.00/1.19 (* end of lemma zenon_L606_ *) % 1.00/1.19 assert (zenon_L607_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (ndr1_0) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H145 zenon_Hc0 zenon_H174 zenon_H168 zenon_H20b zenon_H20c zenon_H20d zenon_H1d6 zenon_H228 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H3 zenon_H198 zenon_H83 zenon_H16 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H135 zenon_H134 zenon_H142 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1dc zenon_H19 zenon_H1a zenon_H18 zenon_H276. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.19 apply (zenon_L582_); trivial. % 1.00/1.19 apply (zenon_L606_); trivial. % 1.00/1.19 (* end of lemma zenon_L607_ *) % 1.00/1.19 assert (zenon_L608_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a541)) -> (c0_1 (a541)) -> (~(c2_1 (a541))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H7e zenon_H1dc zenon_H129 zenon_H128 zenon_H127 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.19 apply (zenon_L31_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.19 apply (zenon_L71_); trivial. % 1.00/1.19 apply (zenon_L12_); trivial. % 1.00/1.19 (* end of lemma zenon_L608_ *) % 1.00/1.19 assert (zenon_L609_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (c1_1 (a541)) -> (c0_1 (a541)) -> (~(c2_1 (a541))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H83 zenon_H1dc zenon_H1a zenon_H19 zenon_H18 zenon_H129 zenon_H128 zenon_H127 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.19 apply (zenon_L30_); trivial. % 1.00/1.19 apply (zenon_L608_); trivial. % 1.00/1.19 (* end of lemma zenon_L609_ *) % 1.00/1.19 assert (zenon_L610_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (c2_1 (a558)) -> (~(c0_1 (a558))) -> (~(c3_1 (a558))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp3)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H56 zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H24b zenon_H228 zenon_H87 zenon_H85 zenon_H86 zenon_H20d zenon_H20c zenon_H20b zenon_H1d6. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.00/1.19 apply (zenon_L184_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.00/1.19 apply (zenon_L496_); trivial. % 1.00/1.19 apply (zenon_L604_); trivial. % 1.00/1.19 (* end of lemma zenon_L610_ *) % 1.00/1.19 assert (zenon_L611_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c1_1 (a538))) -> (~(c3_1 (a538))) -> (c0_1 (a538)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hbc zenon_H5b zenon_H276 zenon_H20b zenon_H20c zenon_H20d zenon_H228 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1d6 zenon_H24b zenon_H244 zenon_H243 zenon_H242 zenon_H188 zenon_H189 zenon_H18a zenon_H4b zenon_H5c. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.00/1.19 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.19 apply (zenon_L196_); trivial. % 1.00/1.19 apply (zenon_L610_); trivial. % 1.00/1.19 (* end of lemma zenon_L611_ *) % 1.00/1.19 assert (zenon_L612_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H191 zenon_H145 zenon_Hc0 zenon_H5b zenon_H276 zenon_H20b zenon_H20c zenon_H20d zenon_H228 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1d6 zenon_H24b zenon_H244 zenon_H243 zenon_H242 zenon_H4b zenon_H5c zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H1dc zenon_H83 zenon_H18 zenon_H19 zenon_H1a zenon_H121. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.19 apply (zenon_L527_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.19 apply (zenon_L609_); trivial. % 1.00/1.19 apply (zenon_L611_); trivial. % 1.00/1.19 (* end of lemma zenon_L612_ *) % 1.00/1.19 assert (zenon_L613_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H13f zenon_H195 zenon_H5b zenon_H24b zenon_H4b zenon_H5c zenon_H276 zenon_H18 zenon_H1a zenon_H19 zenon_H1dc zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H121 zenon_H244 zenon_H243 zenon_H242 zenon_H83 zenon_H198 zenon_H3 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H174 zenon_Hc0 zenon_H145. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.19 apply (zenon_L607_); trivial. % 1.00/1.19 apply (zenon_L612_); trivial. % 1.00/1.19 (* end of lemma zenon_L613_ *) % 1.00/1.19 assert (zenon_L614_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H144 zenon_H195 zenon_H5b zenon_H24b zenon_H4b zenon_H5c zenon_H276 zenon_H18 zenon_H1a zenon_H19 zenon_H1dc zenon_H121 zenon_H244 zenon_H243 zenon_H242 zenon_H83 zenon_H198 zenon_H3 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H174 zenon_Hc0 zenon_H145 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.19 apply (zenon_L476_); trivial. % 1.00/1.19 apply (zenon_L613_); trivial. % 1.00/1.19 (* end of lemma zenon_L614_ *) % 1.00/1.19 assert (zenon_L615_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_Hc0 zenon_H276 zenon_H174 zenon_H168 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H20b zenon_H20c zenon_H20d zenon_H1d6 zenon_H228 zenon_H244 zenon_H243 zenon_H242 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H1fa zenon_H1cc zenon_H1cb zenon_H1ca zenon_H3 zenon_H198 zenon_H83. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.19 apply (zenon_L286_); trivial. % 1.00/1.19 apply (zenon_L605_); trivial. % 1.00/1.19 (* end of lemma zenon_L615_ *) % 1.00/1.19 assert (zenon_L616_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1a1 zenon_H36 zenon_H1fc zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H145 zenon_Hc0 zenon_H174 zenon_H1d6 zenon_H228 zenon_H70 zenon_H3 zenon_H198 zenon_H83 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H1dc zenon_H276 zenon_H5c zenon_H4b zenon_H24b zenon_H5b zenon_H195 zenon_H144 zenon_H1fa zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_He8. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.19 apply (zenon_L174_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.19 apply (zenon_L614_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.19 apply (zenon_L615_); trivial. % 1.00/1.19 apply (zenon_L612_); trivial. % 1.00/1.19 (* end of lemma zenon_L616_ *) % 1.00/1.19 assert (zenon_L617_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (~(hskp21)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H174 zenon_H14c zenon_H14b zenon_H14a zenon_H19 zenon_H1a zenon_H18 zenon_H16 zenon_Hd9 zenon_H168. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H176 ]. % 1.00/1.19 apply (zenon_L79_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H153 | zenon_intro zenon_H169 ]. % 1.00/1.19 apply (zenon_L490_); trivial. % 1.00/1.19 exact (zenon_H168 zenon_H169). % 1.00/1.19 (* end of lemma zenon_L617_ *) % 1.00/1.19 assert (zenon_L618_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp23)) -> (~(c3_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp21)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1dc zenon_H11f zenon_H142 zenon_H134 zenon_H135 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H121 zenon_H168 zenon_H14a zenon_H14b zenon_H14c zenon_H174 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.19 apply (zenon_L488_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.19 apply (zenon_L617_); trivial. % 1.00/1.19 apply (zenon_L12_); trivial. % 1.00/1.19 (* end of lemma zenon_L618_ *) % 1.00/1.19 assert (zenon_L619_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp6)) -> (~(c2_1 (a541))) -> (c0_1 (a541)) -> (c1_1 (a541)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(hskp22)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H166 zenon_H3 zenon_H127 zenon_H128 zenon_H129 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H198 zenon_H19 zenon_H1a zenon_H18 zenon_H153 zenon_H16 zenon_H164. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H37 | zenon_intro zenon_H167 ]. % 1.00/1.19 apply (zenon_L586_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H159 | zenon_intro zenon_H165 ]. % 1.00/1.19 apply (zenon_L531_); trivial. % 1.00/1.19 exact (zenon_H164 zenon_H165). % 1.00/1.19 (* end of lemma zenon_L619_ *) % 1.00/1.19 assert (zenon_L620_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp6)) -> (~(c2_1 (a541))) -> (c0_1 (a541)) -> (c1_1 (a541)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (~(hskp22)) -> False). % 1.00/1.19 do 0 intro. intros zenon_H2d zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H29b zenon_H299 zenon_H166 zenon_H3 zenon_H127 zenon_H128 zenon_H129 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H198 zenon_H19 zenon_H1a zenon_H18 zenon_H164. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.00/1.19 apply (zenon_L184_); trivial. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.00/1.19 apply (zenon_L533_); trivial. % 1.00/1.19 apply (zenon_L619_); trivial. % 1.00/1.19 (* end of lemma zenon_L620_ *) % 1.00/1.19 assert (zenon_L621_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (~(hskp22)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp13)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H130 zenon_H33 zenon_H276 zenon_H198 zenon_H3 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H164 zenon_H166 zenon_H244 zenon_H243 zenon_H242 zenon_H1 zenon_H11 zenon_H13. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.19 apply (zenon_L10_); trivial. % 1.00/1.19 apply (zenon_L620_); trivial. % 1.00/1.19 (* end of lemma zenon_L621_ *) % 1.00/1.19 assert (zenon_L622_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp13)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H13f zenon_H195 zenon_H5b zenon_H24b zenon_H1d6 zenon_H4b zenon_H5c zenon_H145 zenon_H33 zenon_H276 zenon_H198 zenon_H3 zenon_H29b zenon_H299 zenon_H166 zenon_H244 zenon_H243 zenon_H242 zenon_H1 zenon_H11 zenon_H13 zenon_H121 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H174 zenon_H19 zenon_H1a zenon_H18 zenon_H14c zenon_H14b zenon_H14a zenon_H1dc zenon_H184 zenon_H192. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.19 apply (zenon_L618_); trivial. % 1.00/1.19 apply (zenon_L621_); trivial. % 1.00/1.19 apply (zenon_L90_); trivial. % 1.00/1.19 apply (zenon_L197_); trivial. % 1.00/1.19 (* end of lemma zenon_L622_ *) % 1.00/1.19 assert (zenon_L623_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp13)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H144 zenon_H195 zenon_H5b zenon_H24b zenon_H1d6 zenon_H4b zenon_H5c zenon_H145 zenon_H33 zenon_H276 zenon_H198 zenon_H3 zenon_H29b zenon_H299 zenon_H166 zenon_H244 zenon_H243 zenon_H242 zenon_H1 zenon_H11 zenon_H13 zenon_H121 zenon_H174 zenon_H19 zenon_H1a zenon_H18 zenon_H14c zenon_H14b zenon_H14a zenon_H1dc zenon_H184 zenon_H192 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.19 apply (zenon_L476_); trivial. % 1.00/1.19 apply (zenon_L622_); trivial. % 1.00/1.19 (* end of lemma zenon_L623_ *) % 1.00/1.19 assert (zenon_L624_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H13f zenon_H195 zenon_H5b zenon_H24b zenon_H4b zenon_H5c zenon_H1dc zenon_H14a zenon_H14b zenon_H14c zenon_H18 zenon_H1a zenon_H19 zenon_H174 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H121 zenon_H83 zenon_H198 zenon_H3 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H242 zenon_H243 zenon_H244 zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H276 zenon_Hc0 zenon_H145. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.19 apply (zenon_L618_); trivial. % 1.00/1.19 apply (zenon_L606_); trivial. % 1.00/1.19 apply (zenon_L197_); trivial. % 1.00/1.19 (* end of lemma zenon_L624_ *) % 1.00/1.19 assert (zenon_L625_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H1a1 zenon_H36 zenon_H1fc zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H145 zenon_Hc0 zenon_H276 zenon_H1d6 zenon_H228 zenon_H244 zenon_H243 zenon_H242 zenon_H70 zenon_H3 zenon_H198 zenon_H83 zenon_H121 zenon_H174 zenon_H14c zenon_H14b zenon_H14a zenon_H1dc zenon_H5c zenon_H4b zenon_H24b zenon_H5b zenon_H195 zenon_H144 zenon_H1fa zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_He8. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.19 apply (zenon_L174_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.19 apply (zenon_L476_); trivial. % 1.00/1.19 apply (zenon_L624_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.19 apply (zenon_L615_); trivial. % 1.00/1.19 apply (zenon_L197_); trivial. % 1.00/1.19 (* end of lemma zenon_L625_ *) % 1.00/1.19 assert (zenon_L626_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_Hc0 zenon_H228 zenon_H70 zenon_H83 zenon_H1fa zenon_H20b zenon_H22e zenon_He8 zenon_H36 zenon_H1fc zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H10b zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H192 zenon_H184 zenon_H1dc zenon_H174 zenon_H121 zenon_H13 zenon_H11 zenon_H242 zenon_H243 zenon_H244 zenon_H166 zenon_H299 zenon_H29b zenon_H3 zenon_H198 zenon_H276 zenon_H33 zenon_H145 zenon_H5c zenon_H4b zenon_H1d6 zenon_H24b zenon_H5b zenon_H195 zenon_H144 zenon_Hd zenon_H158 zenon_H173 zenon_H61. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.19 apply (zenon_L7_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.19 apply (zenon_L623_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.19 apply (zenon_L594_); trivial. % 1.00/1.19 apply (zenon_L90_); trivial. % 1.00/1.19 apply (zenon_L94_); trivial. % 1.00/1.19 apply (zenon_L625_); trivial. % 1.00/1.19 (* end of lemma zenon_L626_ *) % 1.00/1.19 assert (zenon_L627_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H183 zenon_Hc0 zenon_H276 zenon_H174 zenon_H168 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1d6 zenon_H228 zenon_H244 zenon_H243 zenon_H242 zenon_H28d zenon_H1a zenon_H19 zenon_H18 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H216 zenon_H214 zenon_H20d zenon_H20c zenon_H20b zenon_H28f zenon_H2b2 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H198 zenon_H3 zenon_H10b zenon_H33 zenon_H83. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.19 apply (zenon_L552_); trivial. % 1.00/1.19 apply (zenon_L605_); trivial. % 1.00/1.19 (* end of lemma zenon_L627_ *) % 1.00/1.19 assert (zenon_L628_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a505))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H192 zenon_H28d zenon_H83 zenon_H3 zenon_H198 zenon_H20b zenon_H214 zenon_H216 zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H16 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc1 zenon_Hc3 zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H166 zenon_H1dc zenon_H10b zenon_H33 zenon_H242 zenon_H243 zenon_H244 zenon_H228 zenon_H1d6 zenon_H168 zenon_H174 zenon_H276 zenon_Hc0. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.19 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.19 apply (zenon_L543_); trivial. % 1.00/1.19 apply (zenon_L605_); trivial. % 1.00/1.19 apply (zenon_L627_); trivial. % 1.00/1.19 (* end of lemma zenon_L628_ *) % 1.00/1.19 assert (zenon_L629_ : ((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> False). % 1.00/1.19 do 0 intro. intros zenon_H22b zenon_H143 zenon_H1fc zenon_H195 zenon_Hc0 zenon_H174 zenon_H1d6 zenon_H228 zenon_H33 zenon_H10b zenon_H166 zenon_H299 zenon_H29b zenon_H2b2 zenon_H28f zenon_Hc3 zenon_H70 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116 zenon_H198 zenon_H3 zenon_H1e2 zenon_H83 zenon_H28d zenon_H192 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H276 zenon_H18 zenon_H1a zenon_H19 zenon_H1dc zenon_H121 zenon_H244 zenon_H243 zenon_H242 zenon_H1c4 zenon_Hc1 zenon_H145 zenon_H144 zenon_H20b zenon_H20c zenon_H20d zenon_H4b zenon_H218. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.00/1.19 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.00/1.19 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.19 apply (zenon_L163_); trivial. % 1.00/1.19 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_L584_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.20 apply (zenon_L560_); trivial. % 1.00/1.20 apply (zenon_L605_); trivial. % 1.00/1.20 apply (zenon_L557_); trivial. % 1.00/1.20 apply (zenon_L530_); trivial. % 1.00/1.20 (* end of lemma zenon_L629_ *) % 1.00/1.20 assert (zenon_L630_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp21)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp4)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H168 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H5c zenon_H39 zenon_H3a zenon_H3b zenon_H16 zenon_H49 zenon_H4b. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.00/1.20 apply (zenon_L184_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.00/1.20 apply (zenon_L495_); trivial. % 1.00/1.20 apply (zenon_L194_); trivial. % 1.00/1.20 (* end of lemma zenon_L630_ *) % 1.00/1.20 assert (zenon_L631_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H144 zenon_H195 zenon_H276 zenon_H5c zenon_H4b zenon_H39 zenon_H3a zenon_H3b zenon_H174 zenon_H244 zenon_H243 zenon_H242 zenon_Hc3 zenon_Hc1 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_H22e zenon_H9 zenon_H20d zenon_H20c zenon_H20b zenon_H24b zenon_H1d6 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_He8 zenon_H5b zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.20 apply (zenon_L476_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.20 apply (zenon_L630_); trivial. % 1.00/1.20 apply (zenon_L510_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.20 apply (zenon_L196_); trivial. % 1.00/1.20 apply (zenon_L510_); trivial. % 1.00/1.20 (* end of lemma zenon_L631_ *) % 1.00/1.20 assert (zenon_L632_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H108 zenon_H5b zenon_H28f zenon_H20b zenon_H20c zenon_H20d zenon_H9 zenon_H22e zenon_H1cc zenon_H1cb zenon_H1ca zenon_H1d6 zenon_H24b zenon_H242 zenon_H243 zenon_H244 zenon_H174 zenon_H168 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H276. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.20 apply (zenon_L630_); trivial. % 1.00/1.20 apply (zenon_L516_); trivial. % 1.00/1.20 (* end of lemma zenon_L632_ *) % 1.00/1.20 assert (zenon_L633_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H216 zenon_H214 zenon_H20d zenon_H20c zenon_H20b zenon_H5b zenon_H28f zenon_H2b2 zenon_H1d6 zenon_H24b zenon_H242 zenon_H243 zenon_H244 zenon_H174 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H276 zenon_H22e zenon_H9 zenon_H10b zenon_H33. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.20 apply (zenon_L161_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.20 apply (zenon_L630_); trivial. % 1.00/1.20 apply (zenon_L514_); trivial. % 1.00/1.20 apply (zenon_L632_); trivial. % 1.00/1.20 apply (zenon_L519_); trivial. % 1.00/1.20 (* end of lemma zenon_L633_ *) % 1.00/1.20 assert (zenon_L634_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H21b zenon_H21c zenon_H223 zenon_H2b2 zenon_H276 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H39 zenon_H3a zenon_H3b zenon_H174 zenon_H244 zenon_H243 zenon_H242 zenon_H24b zenon_H22e zenon_H9 zenon_H28f zenon_H5b zenon_H10b. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.20 apply (zenon_L522_); trivial. % 1.00/1.20 apply (zenon_L632_); trivial. % 1.00/1.20 apply (zenon_L523_); trivial. % 1.00/1.20 (* end of lemma zenon_L634_ *) % 1.00/1.20 assert (zenon_L635_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a541)) -> (c0_1 (a541)) -> (~(c2_1 (a541))) -> (ndr1_0) -> (~(c0_1 (a540))) -> (c1_1 (a540)) -> (c3_1 (a540)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H83 zenon_H198 zenon_H3 zenon_H129 zenon_H128 zenon_H127 zenon_H16 zenon_H17a zenon_H17b zenon_H17c zenon_H70 zenon_H6c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H18 zenon_H19 zenon_H1a zenon_H28d. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.20 apply (zenon_L551_); trivial. % 1.00/1.20 apply (zenon_L601_); trivial. % 1.00/1.20 (* end of lemma zenon_L635_ *) % 1.00/1.20 assert (zenon_L636_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(c1_1 (a538))) -> (~(c3_1 (a538))) -> (c0_1 (a538)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H183 zenon_H145 zenon_Hc0 zenon_H5b zenon_H276 zenon_H20b zenon_H20c zenon_H20d zenon_H228 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1d6 zenon_H24b zenon_H244 zenon_H243 zenon_H242 zenon_H4b zenon_H5c zenon_H28d zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H3 zenon_H198 zenon_H83 zenon_H188 zenon_H189 zenon_H18a zenon_H18 zenon_H19 zenon_H1a zenon_H121. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.20 apply (zenon_L527_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.20 apply (zenon_L635_); trivial. % 1.00/1.20 apply (zenon_L611_); trivial. % 1.00/1.20 (* end of lemma zenon_L636_ *) % 1.00/1.20 assert (zenon_L637_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H191 zenon_H192 zenon_H145 zenon_Hc0 zenon_H5b zenon_H276 zenon_H20b zenon_H20c zenon_H20d zenon_H228 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1d6 zenon_H24b zenon_H244 zenon_H243 zenon_H242 zenon_H4b zenon_H5c zenon_H28d zenon_H70 zenon_H3 zenon_H198 zenon_H83 zenon_H18 zenon_H19 zenon_H1a zenon_H121 zenon_H158 zenon_H3a zenon_H39 zenon_H3b zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H166 zenon_H173. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_L357_); trivial. % 1.00/1.20 apply (zenon_L636_); trivial. % 1.00/1.20 (* end of lemma zenon_L637_ *) % 1.00/1.20 assert (zenon_L638_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp22)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp13)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (ndr1_0) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H145 zenon_H33 zenon_H198 zenon_H3 zenon_H29b zenon_H299 zenon_H164 zenon_H166 zenon_H1 zenon_H11 zenon_H13 zenon_H16 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H135 zenon_H134 zenon_H142 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1dc zenon_H19 zenon_H1a zenon_H18 zenon_H276. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.20 apply (zenon_L582_); trivial. % 1.00/1.20 apply (zenon_L621_); trivial. % 1.00/1.20 (* end of lemma zenon_L638_ *) % 1.00/1.20 assert (zenon_L639_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c3_1 (a534))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (c1_1 (a534)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a534))) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H198 zenon_H142 zenon_H17 zenon_H135 zenon_Hda zenon_H134 zenon_H16 zenon_H3. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 1.00/1.20 apply (zenon_L142_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 1.00/1.20 apply (zenon_L74_); trivial. % 1.00/1.20 exact (zenon_H3 zenon_H4). % 1.00/1.20 (* end of lemma zenon_L639_ *) % 1.00/1.20 assert (zenon_L640_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp10)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c0_1 (a540))) -> (c1_1 (a540)) -> (c3_1 (a540)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a534))) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1dc zenon_H11 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H17a zenon_H17b zenon_H17c zenon_H184 zenon_H198 zenon_H142 zenon_H135 zenon_Hda zenon_H134 zenon_H16 zenon_H3. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.20 apply (zenon_L596_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.20 apply (zenon_L74_); trivial. % 1.00/1.20 apply (zenon_L639_); trivial. % 1.00/1.20 (* end of lemma zenon_L640_ *) % 1.00/1.20 assert (zenon_L641_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (~(hskp3)) -> (~(hskp13)) -> (ndr1_0) -> (c1_1 (a504)) -> (c3_1 (a504)) -> (c0_1 (a504)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> (~(hskp6)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H198 zenon_H135 zenon_H134 zenon_H142 zenon_H17 zenon_H1d6 zenon_H1 zenon_H16 zenon_Hf4 zenon_Hf5 zenon_Hf6 zenon_H1d8 zenon_H3. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 1.00/1.20 apply (zenon_L142_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 1.00/1.20 apply (zenon_L127_); trivial. % 1.00/1.20 exact (zenon_H3 zenon_H4). % 1.00/1.20 (* end of lemma zenon_L641_ *) % 1.00/1.20 assert (zenon_L642_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp10)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c0_1 (a540))) -> (c1_1 (a540)) -> (c3_1 (a540)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (~(hskp3)) -> (~(hskp13)) -> (ndr1_0) -> (c1_1 (a504)) -> (c3_1 (a504)) -> (c0_1 (a504)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> (~(hskp6)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1dc zenon_H11 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H17a zenon_H17b zenon_H17c zenon_H184 zenon_Hda zenon_H198 zenon_H135 zenon_H134 zenon_H142 zenon_H1d6 zenon_H1 zenon_H16 zenon_Hf4 zenon_Hf5 zenon_Hf6 zenon_H1d8 zenon_H3. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.20 apply (zenon_L596_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.20 apply (zenon_L74_); trivial. % 1.00/1.20 apply (zenon_L641_); trivial. % 1.00/1.20 (* end of lemma zenon_L642_ *) % 1.00/1.20 assert (zenon_L643_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H198 zenon_H135 zenon_H134 zenon_H142 zenon_H17 zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H16 zenon_H3. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 1.00/1.20 apply (zenon_L142_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 1.00/1.20 apply (zenon_L57_); trivial. % 1.00/1.20 exact (zenon_H3 zenon_H4). % 1.00/1.20 (* end of lemma zenon_L643_ *) % 1.00/1.20 assert (zenon_L644_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp10)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c0_1 (a540))) -> (c1_1 (a540)) -> (c3_1 (a540)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H28f zenon_H62 zenon_H1dc zenon_H11 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H17a zenon_H17b zenon_H17c zenon_H184 zenon_H1d6 zenon_H1 zenon_H1d8 zenon_H198 zenon_H135 zenon_H134 zenon_H142 zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_H16 zenon_H3. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.20 apply (zenon_L596_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.20 apply (zenon_L352_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.20 apply (zenon_L596_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.20 apply (zenon_L127_); trivial. % 1.00/1.20 apply (zenon_L643_); trivial. % 1.00/1.20 (* end of lemma zenon_L644_ *) % 1.00/1.20 assert (zenon_L645_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1d3 zenon_H192 zenon_H28d zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H1fd zenon_H1fe zenon_H1ff zenon_H21b zenon_H21c zenon_H223 zenon_H116 zenon_H28f zenon_H2b2 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H166 zenon_H1dc zenon_H10b zenon_H33. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.20 apply (zenon_L177_); trivial. % 1.00/1.20 apply (zenon_L536_); trivial. % 1.00/1.20 apply (zenon_L557_); trivial. % 1.00/1.20 (* end of lemma zenon_L645_ *) % 1.00/1.20 assert (zenon_L646_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a541)) -> (c0_1 (a541)) -> (~(c2_1 (a541))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (~(hskp22)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (ndr1_0) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp26)) -> (~(hskp25)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H33 zenon_H276 zenon_H198 zenon_H3 zenon_H129 zenon_H128 zenon_H127 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H164 zenon_H166 zenon_H244 zenon_H243 zenon_H242 zenon_H16 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H70 zenon_H6e zenon_H6c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.20 apply (zenon_L251_); trivial. % 1.00/1.20 apply (zenon_L620_); trivial. % 1.00/1.20 (* end of lemma zenon_L646_ *) % 1.00/1.20 assert (zenon_L647_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (ndr1_0) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(c2_1 (a541))) -> (c0_1 (a541)) -> (c1_1 (a541)) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H83 zenon_H1dc zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H6c zenon_H70 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H16 zenon_H242 zenon_H243 zenon_H244 zenon_H166 zenon_H164 zenon_H18 zenon_H1a zenon_H19 zenon_H299 zenon_H29b zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H127 zenon_H128 zenon_H129 zenon_H3 zenon_H198 zenon_H276 zenon_H33. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.20 apply (zenon_L646_); trivial. % 1.00/1.20 apply (zenon_L608_); trivial. % 1.00/1.20 (* end of lemma zenon_L647_ *) % 1.00/1.20 assert (zenon_L648_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (~(hskp22)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H130 zenon_Hc0 zenon_H174 zenon_H168 zenon_H20b zenon_H20c zenon_H20d zenon_H1d6 zenon_H228 zenon_H33 zenon_H276 zenon_H198 zenon_H3 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H164 zenon_H166 zenon_H244 zenon_H243 zenon_H242 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H70 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116 zenon_H1dc zenon_H83. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.20 apply (zenon_L647_); trivial. % 1.00/1.20 apply (zenon_L605_); trivial. % 1.00/1.20 (* end of lemma zenon_L648_ *) % 1.00/1.20 assert (zenon_L649_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp22)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (ndr1_0) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H145 zenon_Hc0 zenon_H174 zenon_H168 zenon_H20b zenon_H20c zenon_H20d zenon_H1d6 zenon_H228 zenon_H33 zenon_H198 zenon_H3 zenon_H29b zenon_H299 zenon_H164 zenon_H166 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H70 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116 zenon_H83 zenon_H16 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H135 zenon_H134 zenon_H142 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1dc zenon_H19 zenon_H1a zenon_H18 zenon_H276. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.20 apply (zenon_L582_); trivial. % 1.00/1.20 apply (zenon_L648_); trivial. % 1.00/1.20 (* end of lemma zenon_L649_ *) % 1.00/1.20 assert (zenon_L650_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H130 zenon_Hc0 zenon_H276 zenon_H174 zenon_H168 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H20b zenon_H20c zenon_H20d zenon_H1d6 zenon_H228 zenon_H244 zenon_H243 zenon_H242 zenon_H28d zenon_H1a zenon_H19 zenon_H18 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H17c zenon_H17b zenon_H17a zenon_H3 zenon_H198 zenon_H83. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.20 apply (zenon_L635_); trivial. % 1.00/1.20 apply (zenon_L605_); trivial. % 1.00/1.20 (* end of lemma zenon_L650_ *) % 1.00/1.20 assert (zenon_L651_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H183 zenon_H145 zenon_Hc0 zenon_H174 zenon_H168 zenon_H20b zenon_H20c zenon_H20d zenon_H1d6 zenon_H228 zenon_H28d zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H3 zenon_H198 zenon_H83 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H135 zenon_H134 zenon_H142 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1dc zenon_H19 zenon_H1a zenon_H18 zenon_H276. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.20 apply (zenon_L582_); trivial. % 1.00/1.20 apply (zenon_L650_); trivial. % 1.00/1.20 (* end of lemma zenon_L651_ *) % 1.00/1.20 assert (zenon_L652_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H192 zenon_H28d zenon_H276 zenon_H18 zenon_H1a zenon_H19 zenon_H1dc zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H142 zenon_H134 zenon_H135 zenon_H121 zenon_H244 zenon_H243 zenon_H242 zenon_H16 zenon_H83 zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H166 zenon_H299 zenon_H29b zenon_H3 zenon_H198 zenon_H33 zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H168 zenon_H174 zenon_Hc0 zenon_H145. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_L649_); trivial. % 1.00/1.20 apply (zenon_L651_); trivial. % 1.00/1.20 (* end of lemma zenon_L652_ *) % 1.00/1.20 assert (zenon_L653_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H191 zenon_H192 zenon_H28d zenon_H121 zenon_H1a zenon_H19 zenon_H18 zenon_H83 zenon_H1dc zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H242 zenon_H243 zenon_H244 zenon_H166 zenon_H299 zenon_H29b zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H3 zenon_H198 zenon_H276 zenon_H33 zenon_H5c zenon_H4b zenon_H24b zenon_H1d6 zenon_H228 zenon_H20d zenon_H20c zenon_H20b zenon_H5b zenon_Hc0 zenon_H145. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.20 apply (zenon_L527_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.20 apply (zenon_L647_); trivial. % 1.00/1.20 apply (zenon_L611_); trivial. % 1.00/1.20 apply (zenon_L636_); trivial. % 1.00/1.20 (* end of lemma zenon_L653_ *) % 1.00/1.20 assert (zenon_L654_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H13f zenon_H195 zenon_H5c zenon_H4b zenon_H24b zenon_H5b zenon_H145 zenon_Hc0 zenon_H174 zenon_H20b zenon_H20c zenon_H20d zenon_H1d6 zenon_H228 zenon_H33 zenon_H198 zenon_H3 zenon_H29b zenon_H299 zenon_H166 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H70 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116 zenon_H83 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1dc zenon_H19 zenon_H1a zenon_H18 zenon_H276 zenon_H28d zenon_H192. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_L652_); trivial. % 1.00/1.20 apply (zenon_L653_); trivial. % 1.00/1.20 (* end of lemma zenon_L654_ *) % 1.00/1.20 assert (zenon_L655_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H144 zenon_H195 zenon_H5c zenon_H4b zenon_H24b zenon_H5b zenon_H145 zenon_Hc0 zenon_H174 zenon_H20b zenon_H20c zenon_H20d zenon_H1d6 zenon_H228 zenon_H33 zenon_H198 zenon_H3 zenon_H29b zenon_H299 zenon_H166 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H70 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116 zenon_H83 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H1dc zenon_H19 zenon_H1a zenon_H18 zenon_H276 zenon_H28d zenon_H192 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.20 apply (zenon_L476_); trivial. % 1.00/1.20 apply (zenon_L654_); trivial. % 1.00/1.20 (* end of lemma zenon_L655_ *) % 1.00/1.20 assert (zenon_L656_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a505))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H192 zenon_H28d zenon_H83 zenon_H3 zenon_H198 zenon_H20b zenon_H214 zenon_H216 zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H16 zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H166 zenon_H1dc zenon_H10b zenon_H33 zenon_H242 zenon_H243 zenon_H244 zenon_H228 zenon_H1d6 zenon_H168 zenon_H174 zenon_H276 zenon_Hc0. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.20 apply (zenon_L571_); trivial. % 1.00/1.20 apply (zenon_L605_); trivial. % 1.00/1.20 apply (zenon_L627_); trivial. % 1.00/1.20 (* end of lemma zenon_L656_ *) % 1.00/1.20 assert (zenon_L657_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a505))) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H192 zenon_H28d zenon_H83 zenon_H1e2 zenon_H3 zenon_H21b zenon_H21c zenon_H223 zenon_H198 zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H16 zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H166 zenon_H1dc zenon_H10b zenon_H33 zenon_H242 zenon_H243 zenon_H244 zenon_H228 zenon_H1d6 zenon_H20b zenon_H168 zenon_H174 zenon_H276 zenon_Hc0. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.20 apply (zenon_L570_); trivial. % 1.00/1.20 apply (zenon_L559_); trivial. % 1.00/1.20 apply (zenon_L605_); trivial. % 1.00/1.20 apply (zenon_L557_); trivial. % 1.00/1.20 (* end of lemma zenon_L657_ *) % 1.00/1.20 assert (zenon_L658_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H173 zenon_He8 zenon_H166 zenon_H164 zenon_H168 zenon_H174 zenon_H20b zenon_H20c zenon_H20d zenon_H134 zenon_H135 zenon_H9 zenon_H22e zenon_H1ff zenon_H1fe zenon_H1fd zenon_H16 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H3b zenon_H39 zenon_H3a zenon_H158. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.20 apply (zenon_L343_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.20 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.20 apply (zenon_L150_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.20 apply (zenon_L507_); trivial. % 1.00/1.20 apply (zenon_L347_); trivial. % 1.00/1.20 (* end of lemma zenon_L658_ *) % 1.00/1.20 assert (zenon_L659_ : (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c2_1 (a534))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> False). % 1.00/1.20 do 0 intro. intros zenon_Hd9 zenon_H16 zenon_H134 zenon_H72 zenon_H142 zenon_H135. % 1.00/1.20 generalize (zenon_Hd9 (a534)). zenon_intro zenon_H13c. % 1.00/1.20 apply (zenon_imply_s _ _ zenon_H13c); [ zenon_intro zenon_H15 | zenon_intro zenon_H13d ]. % 1.00/1.20 exact (zenon_H15 zenon_H16). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H13b | zenon_intro zenon_H13e ]. % 1.00/1.20 exact (zenon_H134 zenon_H13b). % 1.00/1.20 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H133 | zenon_intro zenon_H13a ]. % 1.00/1.20 apply (zenon_L141_); trivial. % 1.00/1.20 exact (zenon_H13a zenon_H135). % 1.00/1.20 (* end of lemma zenon_L659_ *) % 1.00/1.20 assert (zenon_L660_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c2_1 (a534))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H135 zenon_H142 zenon_H72 zenon_H134 zenon_H16 zenon_H9. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H20a | zenon_intro zenon_H22f ]. % 1.00/1.20 apply (zenon_L159_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Ha ]. % 1.00/1.20 apply (zenon_L659_); trivial. % 1.00/1.20 exact (zenon_H9 zenon_Ha). % 1.00/1.20 (* end of lemma zenon_L660_ *) % 1.00/1.20 assert (zenon_L661_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> (~(c3_1 (a534))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H2d zenon_H10b zenon_H1fd zenon_H1fe zenon_H1ff zenon_H22e zenon_H9 zenon_H135 zenon_H134 zenon_H20d zenon_H20c zenon_H20b zenon_H28f zenon_H2b2 zenon_H17c zenon_H17b zenon_H17a zenon_H142 zenon_He8. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.20 apply (zenon_L150_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.20 apply (zenon_L507_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.20 apply (zenon_L660_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.20 apply (zenon_L352_); trivial. % 1.00/1.20 apply (zenon_L513_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.20 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.20 apply (zenon_L150_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.20 apply (zenon_L507_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.20 apply (zenon_L660_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.20 apply (zenon_L352_); trivial. % 1.00/1.20 apply (zenon_L349_); trivial. % 1.00/1.20 (* end of lemma zenon_L661_ *) % 1.00/1.20 assert (zenon_L662_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c3_1 (a534))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H183 zenon_H33 zenon_H10b zenon_H1fd zenon_H1fe zenon_H1ff zenon_H22e zenon_H9 zenon_H135 zenon_H134 zenon_H28f zenon_H2b2 zenon_H142 zenon_He8 zenon_H20b zenon_H20c zenon_H20d zenon_H214 zenon_H216. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.20 apply (zenon_L161_); trivial. % 1.00/1.20 apply (zenon_L661_); trivial. % 1.00/1.20 (* end of lemma zenon_L662_ *) % 1.00/1.20 assert (zenon_L663_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp28)) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H291 zenon_Hf zenon_H21b zenon_H21c zenon_H223 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H116 zenon_H3a zenon_H39 zenon_H3b zenon_H16 zenon_H4b. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.00/1.20 apply (zenon_L176_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.00/1.20 apply (zenon_L53_); trivial. % 1.00/1.20 exact (zenon_H4b zenon_H4c). % 1.00/1.20 (* end of lemma zenon_L663_ *) % 1.00/1.20 assert (zenon_L664_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c3_1 (a534))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c3_1 (a530)) -> (c2_1 (a530)) -> (~(c1_1 (a530))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H183 zenon_H33 zenon_H10b zenon_H22e zenon_H9 zenon_H135 zenon_H134 zenon_H20d zenon_H20c zenon_H20b zenon_H28f zenon_H2b2 zenon_H142 zenon_He8 zenon_H116 zenon_H223 zenon_H21c zenon_H21b zenon_H1ff zenon_H1fe zenon_H1fd zenon_H3b zenon_H39 zenon_H3a zenon_H4b zenon_H291. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.20 apply (zenon_L663_); trivial. % 1.00/1.20 apply (zenon_L661_); trivial. % 1.00/1.20 (* end of lemma zenon_L664_ *) % 1.00/1.20 assert (zenon_L665_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H13f zenon_H195 zenon_H5b zenon_H24b zenon_H4b zenon_H5c zenon_H158 zenon_H3a zenon_H39 zenon_H3b zenon_H173 zenon_H145 zenon_Hc0 zenon_H174 zenon_H20b zenon_H20c zenon_H20d zenon_H1d6 zenon_H228 zenon_H33 zenon_H198 zenon_H3 zenon_H29b zenon_H299 zenon_H166 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H70 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116 zenon_H83 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1dc zenon_H19 zenon_H1a zenon_H18 zenon_H276 zenon_H28d zenon_H192. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_L652_); trivial. % 1.00/1.20 apply (zenon_L637_); trivial. % 1.00/1.20 (* end of lemma zenon_L665_ *) % 1.00/1.20 assert (zenon_L666_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H252 zenon_H23e zenon_H291 zenon_H1d8 zenon_H251 zenon_H158 zenon_H173 zenon_H61 zenon_H195 zenon_H7f zenon_H5c zenon_H4b zenon_H174 zenon_Hd zenon_H144 zenon_H145 zenon_H1c4 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H1dc zenon_H276 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H33 zenon_H10b zenon_H166 zenon_H299 zenon_H29b zenon_H2b2 zenon_H28f zenon_H13 zenon_Hbd zenon_H184 zenon_H272 zenon_H24b zenon_H1d6 zenon_H5b zenon_H192 zenon_H1fc zenon_H36 zenon_He8 zenon_H22e zenon_H1fa zenon_H83 zenon_H198 zenon_H3 zenon_H70 zenon_H228 zenon_Hc0 zenon_H1a0 zenon_H143 zenon_Hc3 zenon_H116 zenon_H216 zenon_H28d zenon_H218 zenon_H1e2 zenon_H22a zenon_H209. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.20 apply (zenon_L7_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_L584_); trivial. % 1.00/1.20 apply (zenon_L600_); trivial. % 1.00/1.20 apply (zenon_L499_); trivial. % 1.00/1.20 apply (zenon_L616_); trivial. % 1.00/1.20 apply (zenon_L626_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.20 apply (zenon_L7_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.20 apply (zenon_L163_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_L584_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_L628_); trivial. % 1.00/1.20 apply (zenon_L530_); trivial. % 1.00/1.20 apply (zenon_L629_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.20 apply (zenon_L163_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_L631_); trivial. % 1.00/1.20 apply (zenon_L633_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.20 apply (zenon_L163_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_L631_); trivial. % 1.00/1.20 apply (zenon_L634_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.20 apply (zenon_L163_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.20 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_L584_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_L628_); trivial. % 1.00/1.20 apply (zenon_L637_); trivial. % 1.00/1.20 apply (zenon_L629_); trivial. % 1.00/1.20 apply (zenon_L616_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.20 apply (zenon_L7_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.20 apply (zenon_L476_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_L638_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.20 apply (zenon_L161_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.20 apply (zenon_L150_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.20 apply (zenon_L640_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.20 apply (zenon_L596_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.20 apply (zenon_L352_); trivial. % 1.00/1.20 apply (zenon_L513_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.20 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.20 apply (zenon_L150_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.20 apply (zenon_L642_); trivial. % 1.00/1.20 apply (zenon_L644_); trivial. % 1.00/1.20 apply (zenon_L600_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.20 apply (zenon_L476_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_L638_); trivial. % 1.00/1.20 apply (zenon_L557_); trivial. % 1.00/1.20 apply (zenon_L645_); trivial. % 1.00/1.20 apply (zenon_L499_); trivial. % 1.00/1.20 apply (zenon_L616_); trivial. % 1.00/1.20 apply (zenon_L626_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.20 apply (zenon_L7_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_L655_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_L656_); trivial. % 1.00/1.20 apply (zenon_L653_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_L655_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_L657_); trivial. % 1.00/1.20 apply (zenon_L653_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.20 apply (zenon_L476_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_L658_); trivial. % 1.00/1.20 apply (zenon_L662_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_L357_); trivial. % 1.00/1.20 apply (zenon_L662_); trivial. % 1.00/1.20 apply (zenon_L633_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.20 apply (zenon_L476_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_L658_); trivial. % 1.00/1.20 apply (zenon_L664_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_L357_); trivial. % 1.00/1.20 apply (zenon_L664_); trivial. % 1.00/1.20 apply (zenon_L634_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.20 apply (zenon_L476_); trivial. % 1.00/1.20 apply (zenon_L665_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_L656_); trivial. % 1.00/1.20 apply (zenon_L637_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.20 apply (zenon_L476_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.20 apply (zenon_L649_); trivial. % 1.00/1.20 apply (zenon_L557_); trivial. % 1.00/1.20 apply (zenon_L637_); trivial. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_L657_); trivial. % 1.00/1.20 apply (zenon_L562_); trivial. % 1.00/1.20 apply (zenon_L616_); trivial. % 1.00/1.20 (* end of lemma zenon_L666_ *) % 1.00/1.20 assert (zenon_L667_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H1a1 zenon_H143 zenon_H1fc zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_Hc3 zenon_Hc1 zenon_He8 zenon_H144 zenon_He5 zenon_H4b zenon_He3 zenon_Ha4 zenon_H262 zenon_H261 zenon_H260 zenon_H1fa. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.20 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.20 apply (zenon_L227_); trivial. % 1.00/1.20 apply (zenon_L484_); trivial. % 1.00/1.20 (* end of lemma zenon_L667_ *) % 1.00/1.20 assert (zenon_L668_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H174 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H72 zenon_H262 zenon_H261 zenon_H260 zenon_H16 zenon_H168. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H176 ]. % 1.00/1.20 apply (zenon_L480_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H153 | zenon_intro zenon_H169 ]. % 1.00/1.20 apply (zenon_L232_); trivial. % 1.00/1.20 exact (zenon_H168 zenon_H169). % 1.00/1.20 (* end of lemma zenon_L668_ *) % 1.00/1.20 assert (zenon_L669_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp21)) -> (ndr1_0) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 1.00/1.20 do 0 intro. intros zenon_H7f zenon_H168 zenon_H16 zenon_H260 zenon_H261 zenon_H262 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H11 zenon_H7c. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 1.00/1.20 apply (zenon_L668_); trivial. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 1.00/1.20 exact (zenon_H11 zenon_H12). % 1.00/1.20 exact (zenon_H7c zenon_H7d). % 1.00/1.20 (* end of lemma zenon_L669_ *) % 1.00/1.20 assert (zenon_L670_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H195 zenon_H5b zenon_H1d6 zenon_H24b zenon_H4b zenon_H5c zenon_H174 zenon_H262 zenon_H261 zenon_H260 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_H11 zenon_H7c zenon_H7f. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.20 apply (zenon_L669_); trivial. % 1.00/1.20 apply (zenon_L498_); trivial. % 1.00/1.20 (* end of lemma zenon_L670_ *) % 1.00/1.20 assert (zenon_L671_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> False). % 1.00/1.20 do 0 intro. intros zenon_H251 zenon_H7f zenon_H11 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H260 zenon_H261 zenon_H262 zenon_H174 zenon_H5c zenon_H4b zenon_H24b zenon_H1d6 zenon_H5b zenon_H195. % 1.00/1.20 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.20 apply (zenon_L670_); trivial. % 1.00/1.20 apply (zenon_L234_); trivial. % 1.00/1.20 (* end of lemma zenon_L671_ *) % 1.00/1.20 assert (zenon_L672_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H13f zenon_H33 zenon_H29b zenon_H299 zenon_H262 zenon_H261 zenon_H260 zenon_H1fd zenon_H1fe zenon_H1ff zenon_He5 zenon_H4b zenon_He3 zenon_H116 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_He8. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.21 apply (zenon_L150_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L75_); trivial. % 1.00/1.21 apply (zenon_L371_); trivial. % 1.00/1.21 apply (zenon_L310_); trivial. % 1.00/1.21 (* end of lemma zenon_L672_ *) % 1.00/1.21 assert (zenon_L673_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H144 zenon_H33 zenon_H29b zenon_H299 zenon_H262 zenon_H261 zenon_H260 zenon_H1fd zenon_H1fe zenon_H1ff zenon_He5 zenon_H4b zenon_He3 zenon_H116 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_He8 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.21 apply (zenon_L476_); trivial. % 1.00/1.21 apply (zenon_L672_); trivial. % 1.00/1.21 (* end of lemma zenon_L673_ *) % 1.00/1.21 assert (zenon_L674_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp21)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (ndr1_0) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H168 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H16 zenon_H260 zenon_H261 zenon_H262. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.00/1.21 apply (zenon_L184_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.00/1.21 apply (zenon_L668_); trivial. % 1.00/1.21 apply (zenon_L232_); trivial. % 1.00/1.21 (* end of lemma zenon_L674_ *) % 1.00/1.21 assert (zenon_L675_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp3)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H56 zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H1d6 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H24b zenon_H260 zenon_H261 zenon_H262. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.00/1.21 apply (zenon_L184_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.00/1.21 apply (zenon_L496_); trivial. % 1.00/1.21 apply (zenon_L232_); trivial. % 1.00/1.21 (* end of lemma zenon_L675_ *) % 1.00/1.21 assert (zenon_L676_ : ((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H255 zenon_H195 zenon_H5b zenon_H1d6 zenon_H24b zenon_H4b zenon_H5c zenon_H174 zenon_H262 zenon_H261 zenon_H260 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H276. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.21 apply (zenon_L674_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.00/1.21 apply (zenon_L196_); trivial. % 1.00/1.21 apply (zenon_L675_); trivial. % 1.00/1.21 (* end of lemma zenon_L676_ *) % 1.00/1.21 assert (zenon_L677_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H32 zenon_H143 zenon_H23c zenon_H11b zenon_Hc1 zenon_Hc3 zenon_Hc0 zenon_Hbd zenon_H19e zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H11 zenon_H7c zenon_H7f zenon_H83 zenon_Ha4 zenon_H96 zenon_H95 zenon_H93 zenon_H28d zenon_H27f zenon_H27e zenon_H27d zenon_H4b zenon_H291 zenon_H192. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.21 apply (zenon_L221_); trivial. % 1.00/1.21 apply (zenon_L292_); trivial. % 1.00/1.21 apply (zenon_L257_); trivial. % 1.00/1.21 (* end of lemma zenon_L677_ *) % 1.00/1.21 assert (zenon_L678_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H7 zenon_H3 zenon_H143 zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_Hc3 zenon_Hc0 zenon_Hbd zenon_H19e zenon_H90 zenon_H70 zenon_H11 zenon_H7c zenon_H7f zenon_H83 zenon_H196 zenon_Hc1 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H22e zenon_H192 zenon_H291 zenon_H4b zenon_H28d zenon_Ha4 zenon_H36 zenon_H146. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.21 apply (zenon_L4_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.21 apply (zenon_L221_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 1.00/1.21 apply (zenon_L481_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 1.00/1.21 exact (zenon_H11 zenon_H12). % 1.00/1.21 exact (zenon_H7c zenon_H7d). % 1.00/1.21 apply (zenon_L257_); trivial. % 1.00/1.21 apply (zenon_L677_); trivial. % 1.00/1.21 apply (zenon_L258_); trivial. % 1.00/1.21 (* end of lemma zenon_L678_ *) % 1.00/1.21 assert (zenon_L679_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H145 zenon_Hc1 zenon_H1c4 zenon_H121 zenon_H135 zenon_H134 zenon_H142 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H16 zenon_H174 zenon_H168 zenon_H19 zenon_H1a zenon_H18 zenon_H14c zenon_H14b zenon_H14a zenon_H1dc. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.21 apply (zenon_L618_); trivial. % 1.00/1.21 apply (zenon_L529_); trivial. % 1.00/1.21 (* end of lemma zenon_L679_ *) % 1.00/1.21 assert (zenon_L680_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H36 zenon_H1fc zenon_H5b zenon_H57 zenon_H47 zenon_Hb2 zenon_Hb4 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H145 zenon_Hc1 zenon_H1c4 zenon_H121 zenon_H174 zenon_H14c zenon_H14b zenon_H14a zenon_H1dc zenon_H195 zenon_H144 zenon_H1 zenon_Hb zenon_Hd. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.21 apply (zenon_L7_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.21 apply (zenon_L476_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.21 apply (zenon_L679_); trivial. % 1.00/1.21 apply (zenon_L530_); trivial. % 1.00/1.21 apply (zenon_L125_); trivial. % 1.00/1.21 (* end of lemma zenon_L680_ *) % 1.00/1.21 assert (zenon_L681_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_H83 zenon_H198 zenon_H3 zenon_H196 zenon_H70 zenon_H90 zenon_H19e zenon_Hbd zenon_Hc0 zenon_Hc3 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c zenon_H143 zenon_H36 zenon_H1fc zenon_H5b zenon_H57 zenon_H47 zenon_Hb2 zenon_Hb4 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H145 zenon_Hc1 zenon_H1c4 zenon_H121 zenon_H174 zenon_H1dc zenon_H195 zenon_H144 zenon_Hd zenon_H192 zenon_H184 zenon_H11 zenon_H158 zenon_H166 zenon_H173 zenon_H61. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.21 apply (zenon_L680_); trivial. % 1.00/1.21 apply (zenon_L94_); trivial. % 1.00/1.21 apply (zenon_L438_); trivial. % 1.00/1.21 (* end of lemma zenon_L681_ *) % 1.00/1.21 assert (zenon_L682_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H144 zenon_H192 zenon_H28d zenon_H1a zenon_H19 zenon_H18 zenon_H27d zenon_H27e zenon_H27f zenon_H196 zenon_H1c4 zenon_Hc1 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H93 zenon_H96 zenon_Ha2 zenon_Ha4 zenon_H1 zenon_H90 zenon_H19e zenon_Hbd zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.21 apply (zenon_L476_); trivial. % 1.00/1.21 apply (zenon_L266_); trivial. % 1.00/1.21 (* end of lemma zenon_L682_ *) % 1.00/1.21 assert (zenon_L683_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> (~(hskp12)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H146 zenon_H36 zenon_H143 zenon_H23c zenon_H11b zenon_Hc3 zenon_H144 zenon_H192 zenon_H28d zenon_H27d zenon_H27e zenon_H27f zenon_H196 zenon_H1c4 zenon_Hc1 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H90 zenon_H19e zenon_Hbd zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_Hb4 zenon_Hb2 zenon_H47 zenon_H57 zenon_H5b zenon_H1fc zenon_Hb zenon_Hd zenon_H1 zenon_H3 zenon_H7. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.21 apply (zenon_L4_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.21 apply (zenon_L7_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.21 apply (zenon_L682_); trivial. % 1.00/1.21 apply (zenon_L125_); trivial. % 1.00/1.21 apply (zenon_L257_); trivial. % 1.00/1.21 (* end of lemma zenon_L683_ *) % 1.00/1.21 assert (zenon_L684_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1fc zenon_H1fa zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_Hc0 zenon_Hbd zenon_H19e zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H1f1 zenon_H47 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H27d zenon_H27e zenon_H27f zenon_Ha2 zenon_Ha4 zenon_H198 zenon_H3 zenon_H1dc zenon_H83 zenon_H196 zenon_Hc1 zenon_H9 zenon_H22e zenon_H192 zenon_H144. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.21 apply (zenon_L476_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.21 apply (zenon_L280_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.21 apply (zenon_L481_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.21 apply (zenon_L276_); trivial. % 1.00/1.21 apply (zenon_L277_); trivial. % 1.00/1.21 apply (zenon_L289_); trivial. % 1.00/1.21 (* end of lemma zenon_L684_ *) % 1.00/1.21 assert (zenon_L685_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H143 zenon_H23c zenon_H11b zenon_Hc3 zenon_H144 zenon_H192 zenon_H22e zenon_H9 zenon_Hc1 zenon_H196 zenon_H83 zenon_H1dc zenon_H3 zenon_H198 zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H90 zenon_H1 zenon_H19e zenon_Hbd zenon_Hc0 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fa zenon_H1fc. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.21 apply (zenon_L684_); trivial. % 1.00/1.21 apply (zenon_L257_); trivial. % 1.00/1.21 (* end of lemma zenon_L685_ *) % 1.00/1.21 assert (zenon_L686_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H7 zenon_H3 zenon_H143 zenon_H23c zenon_H11b zenon_Hc3 zenon_H144 zenon_H192 zenon_H22e zenon_Hc1 zenon_H196 zenon_H83 zenon_H1dc zenon_H198 zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1 zenon_H70 zenon_H90 zenon_H19e zenon_Hbd zenon_Hc0 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fa zenon_H1fc zenon_H291 zenon_H4b zenon_H1c4 zenon_H28d zenon_H36 zenon_H146. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.21 apply (zenon_L4_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.21 apply (zenon_L685_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.21 apply (zenon_L682_); trivial. % 1.00/1.21 apply (zenon_L293_); trivial. % 1.00/1.21 apply (zenon_L257_); trivial. % 1.00/1.21 apply (zenon_L258_); trivial. % 1.00/1.21 (* end of lemma zenon_L686_ *) % 1.00/1.21 assert (zenon_L687_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp11)) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp1)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_H7c zenon_H11 zenon_H16 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H7f zenon_Hb2. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 1.00/1.21 apply (zenon_L184_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 1.00/1.21 apply (zenon_L487_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 1.00/1.21 exact (zenon_H11 zenon_H12). % 1.00/1.21 exact (zenon_H7c zenon_H7d). % 1.00/1.21 exact (zenon_Hb2 zenon_Hb3). % 1.00/1.21 (* end of lemma zenon_L687_ *) % 1.00/1.21 assert (zenon_L688_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (~(hskp9)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp1)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1a1 zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_H3 zenon_H196 zenon_H14c zenon_H14b zenon_H14a zenon_Hc1 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H198 zenon_Hb2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 1.00/1.21 apply (zenon_L184_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 1.00/1.21 apply (zenon_L487_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 1.00/1.21 apply (zenon_L96_); trivial. % 1.00/1.21 exact (zenon_H3 zenon_H4). % 1.00/1.21 exact (zenon_Hb2 zenon_Hb3). % 1.00/1.21 (* end of lemma zenon_L688_ *) % 1.00/1.21 assert (zenon_L689_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp17)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp1)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H13f zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_H3 zenon_H1f1 zenon_Ha2 zenon_H27d zenon_H27e zenon_H27f zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H47 zenon_H198 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H1dc zenon_Hb2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 1.00/1.21 apply (zenon_L184_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.21 apply (zenon_L487_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.21 apply (zenon_L276_); trivial. % 1.00/1.21 apply (zenon_L277_); trivial. % 1.00/1.21 exact (zenon_Hb2 zenon_Hb3). % 1.00/1.21 (* end of lemma zenon_L689_ *) % 1.00/1.21 assert (zenon_L690_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H144 zenon_H270 zenon_Hb2 zenon_H1f1 zenon_H47 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H27d zenon_H27e zenon_H27f zenon_Ha2 zenon_Ha4 zenon_H198 zenon_H3 zenon_H1dc zenon_H244 zenon_H243 zenon_H242 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.21 apply (zenon_L476_); trivial. % 1.00/1.21 apply (zenon_L689_); trivial. % 1.00/1.21 (* end of lemma zenon_L690_ *) % 1.00/1.21 assert (zenon_L691_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp6)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp1)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H108 zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_H3 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H198 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H28f zenon_Hb2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 1.00/1.21 apply (zenon_L184_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.21 apply (zenon_L487_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.21 apply (zenon_L123_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 1.00/1.21 apply (zenon_L487_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 1.00/1.21 apply (zenon_L57_); trivial. % 1.00/1.21 exact (zenon_H3 zenon_H4). % 1.00/1.21 exact (zenon_Hb2 zenon_Hb3). % 1.00/1.21 (* end of lemma zenon_L691_ *) % 1.00/1.21 assert (zenon_L692_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1d3 zenon_H10b zenon_H270 zenon_Hb2 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H198 zenon_H3 zenon_H28f zenon_H244 zenon_H243 zenon_H242 zenon_Hc3 zenon_Hc1 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_H47 zenon_Hf1. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.21 apply (zenon_L56_); trivial. % 1.00/1.21 apply (zenon_L691_); trivial. % 1.00/1.21 (* end of lemma zenon_L692_ *) % 1.00/1.21 assert (zenon_L693_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a514)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_He7 zenon_H1fc zenon_H10b zenon_H198 zenon_H3 zenon_H28f zenon_H47 zenon_Hf1 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H242 zenon_H243 zenon_H244 zenon_He8 zenon_H65 zenon_H63 zenon_H64 zenon_H1dc zenon_Hc1 zenon_Hc3 zenon_Hb2 zenon_H270 zenon_H144. % 1.00/1.21 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.21 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.21 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.21 apply (zenon_L476_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 1.00/1.21 apply (zenon_L184_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.21 apply (zenon_L48_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L589_); trivial. % 1.00/1.21 apply (zenon_L27_); trivial. % 1.00/1.21 exact (zenon_Hb2 zenon_Hb3). % 1.00/1.21 apply (zenon_L692_); trivial. % 1.00/1.21 (* end of lemma zenon_L693_ *) % 1.00/1.21 assert (zenon_L694_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1a1 zenon_H143 zenon_H10b zenon_H28f zenon_Hf1 zenon_He8 zenon_Hc1 zenon_Hc3 zenon_H144 zenon_H270 zenon_Hb2 zenon_H1f1 zenon_H47 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H27d zenon_H27e zenon_H27f zenon_Ha4 zenon_H198 zenon_H3 zenon_H1dc zenon_H244 zenon_H243 zenon_H242 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fa zenon_H1fc. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.21 apply (zenon_L690_); trivial. % 1.00/1.21 apply (zenon_L580_); trivial. % 1.00/1.21 apply (zenon_L693_); trivial. % 1.00/1.21 (* end of lemma zenon_L694_ *) % 1.00/1.21 assert (zenon_L695_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (~(hskp17)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1fa zenon_H135 zenon_H134 zenon_Hd9 zenon_Ha2 zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H16 zenon_H63 zenon_H64 zenon_H65. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.00/1.21 apply (zenon_L74_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L224_); trivial. % 1.00/1.21 apply (zenon_L27_); trivial. % 1.00/1.21 (* end of lemma zenon_L695_ *) % 1.00/1.21 assert (zenon_L696_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H13f zenon_H192 zenon_H9 zenon_H22e zenon_H83 zenon_H1dc zenon_H27f zenon_H27e zenon_H27d zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1 zenon_Ha4 zenon_Ha2 zenon_H262 zenon_H261 zenon_H260 zenon_H1fa zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H90 zenon_H1 zenon_H19e zenon_Hbd zenon_Hc0. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.21 apply (zenon_L30_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.21 apply (zenon_L31_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.21 apply (zenon_L695_); trivial. % 1.00/1.21 apply (zenon_L459_); trivial. % 1.00/1.21 apply (zenon_L101_); trivial. % 1.00/1.21 apply (zenon_L225_); trivial. % 1.00/1.21 (* end of lemma zenon_L696_ *) % 1.00/1.21 assert (zenon_L697_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp22)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H19e zenon_H164 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H1fa zenon_H1cc zenon_H1cb zenon_H1ca zenon_H1f1 zenon_H47 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H27d zenon_H27e zenon_H27f zenon_Ha2 zenon_Ha4 zenon_H261 zenon_H260 zenon_H1dc zenon_H83. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.21 apply (zenon_L30_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.21 apply (zenon_L31_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.21 apply (zenon_L284_); trivial. % 1.00/1.21 apply (zenon_L459_); trivial. % 1.00/1.21 apply (zenon_L101_); trivial. % 1.00/1.21 (* end of lemma zenon_L697_ *) % 1.00/1.21 assert (zenon_L698_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1d3 zenon_H192 zenon_H9 zenon_H22e zenon_H83 zenon_H1dc zenon_H260 zenon_H261 zenon_Ha4 zenon_Ha2 zenon_H27f zenon_H27e zenon_H27d zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1 zenon_H1fa zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H90 zenon_H1 zenon_H19e zenon_Hbd zenon_Hc0. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.21 apply (zenon_L697_); trivial. % 1.00/1.21 apply (zenon_L288_); trivial. % 1.00/1.21 (* end of lemma zenon_L698_ *) % 1.00/1.21 assert (zenon_L699_ : ((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H255 zenon_H195 zenon_H270 zenon_Hb2 zenon_H174 zenon_H262 zenon_H261 zenon_H260 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H276. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.21 apply (zenon_L674_); trivial. % 1.00/1.21 apply (zenon_L238_); trivial. % 1.00/1.21 (* end of lemma zenon_L699_ *) % 1.00/1.21 assert (zenon_L700_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(hskp9)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H196 zenon_H29f zenon_H29e zenon_H29d zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_H72 zenon_Hc1. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_Hda | zenon_intro zenon_H197 ]. % 1.00/1.21 apply (zenon_L313_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hc2 ]. % 1.00/1.21 apply (zenon_L480_); trivial. % 1.00/1.21 exact (zenon_Hc1 zenon_Hc2). % 1.00/1.21 (* end of lemma zenon_L700_ *) % 1.00/1.21 assert (zenon_L701_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (c0_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a500)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp6)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1dc zenon_Hc1 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H29d zenon_H29e zenon_H29f zenon_H196 zenon_H198 zenon_H47 zenon_H16 zenon_H38 zenon_H22 zenon_H23 zenon_H24 zenon_H134 zenon_H135 zenon_H142 zenon_H1f1 zenon_H3. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.21 apply (zenon_L700_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.21 apply (zenon_L140_); trivial. % 1.00/1.21 apply (zenon_L143_); trivial. % 1.00/1.21 (* end of lemma zenon_L701_ *) % 1.00/1.21 assert (zenon_L702_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (ndr1_0) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H23e zenon_H1c9 zenon_H47 zenon_H29f zenon_H29e zenon_H29d zenon_H16 zenon_H146 zenon_H143 zenon_He8 zenon_Hc3 zenon_H144 zenon_H33 zenon_H1f8 zenon_He3 zenon_H196 zenon_H1f1 zenon_H198 zenon_H1dc zenon_Ha4 zenon_H1e2 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fa zenon_H1fc zenon_H3 zenon_H7 zenon_H61 zenon_H1a0. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.21 apply (zenon_L314_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.21 apply (zenon_L4_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.21 apply (zenon_L476_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.21 apply (zenon_L137_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 1.00/1.21 apply (zenon_L136_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 1.00/1.21 apply (zenon_L701_); trivial. % 1.00/1.21 exact (zenon_He3 zenon_He4). % 1.00/1.21 apply (zenon_L398_); trivial. % 1.00/1.21 apply (zenon_L320_); trivial. % 1.00/1.21 apply (zenon_L321_); trivial. % 1.00/1.21 apply (zenon_L330_); trivial. % 1.00/1.21 (* end of lemma zenon_L702_ *) % 1.00/1.21 assert (zenon_L703_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (~(hskp21)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H174 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H62 zenon_H19 zenon_H1a zenon_H18 zenon_H16 zenon_Hd9 zenon_H168. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H176 ]. % 1.00/1.21 apply (zenon_L113_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H153 | zenon_intro zenon_H169 ]. % 1.00/1.21 apply (zenon_L490_); trivial. % 1.00/1.21 exact (zenon_H168 zenon_H169). % 1.00/1.21 (* end of lemma zenon_L703_ *) % 1.00/1.21 assert (zenon_L704_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp21)) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1dc zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_He8 zenon_H168 zenon_H62 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H174 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.21 apply (zenon_L332_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.21 apply (zenon_L703_); trivial. % 1.00/1.21 apply (zenon_L12_); trivial. % 1.00/1.21 (* end of lemma zenon_L704_ *) % 1.00/1.21 assert (zenon_L705_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp21)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H108 zenon_H28f zenon_H1dc zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_He8 zenon_H168 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H174 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.21 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.21 apply (zenon_L339_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L313_); trivial. % 1.00/1.21 apply (zenon_L704_); trivial. % 1.00/1.21 (* end of lemma zenon_L705_ *) % 1.00/1.21 assert (zenon_L706_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp22)) -> (~(c2_1 (a554))) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp21)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H108 zenon_He8 zenon_H1fa zenon_H29e zenon_H29f zenon_H29d zenon_H28f zenon_H9 zenon_H134 zenon_H135 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H174 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H164 zenon_H16a zenon_H16b zenon_H16c zenon_H3b zenon_H3a zenon_H39 zenon_H166 zenon_H168. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.21 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.21 apply (zenon_L350_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L507_); trivial. % 1.00/1.21 apply (zenon_L347_); trivial. % 1.00/1.21 (* end of lemma zenon_L706_ *) % 1.00/1.21 assert (zenon_L707_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (c3_1 (a540)) -> (c1_1 (a540)) -> (~(c0_1 (a540))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp15)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H108 zenon_He8 zenon_H1fa zenon_H134 zenon_H135 zenon_H28f zenon_H29d zenon_H29f zenon_H29e zenon_H17c zenon_H17b zenon_H17a zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H9. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.21 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.21 apply (zenon_L350_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L507_); trivial. % 1.00/1.21 apply (zenon_L354_); trivial. % 1.00/1.21 (* end of lemma zenon_L707_ *) % 1.00/1.21 assert (zenon_L708_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H183 zenon_H10b zenon_H134 zenon_H135 zenon_H22e zenon_H9 zenon_H28f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_He8. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.21 apply (zenon_L353_); trivial. % 1.00/1.21 apply (zenon_L707_); trivial. % 1.00/1.21 (* end of lemma zenon_L708_ *) % 1.00/1.21 assert (zenon_L709_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H191 zenon_H192 zenon_H10b zenon_H134 zenon_H135 zenon_H22e zenon_H9 zenon_H28f zenon_H2b2 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_He8 zenon_H158 zenon_H3a zenon_H39 zenon_H3b zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H166 zenon_H173. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.21 apply (zenon_L357_); trivial. % 1.00/1.21 apply (zenon_L708_); trivial. % 1.00/1.21 (* end of lemma zenon_L709_ *) % 1.00/1.21 assert (zenon_L710_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (ndr1_0) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c0_1 (a498))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1fa zenon_H1cc zenon_H1cb zenon_H1ca zenon_H16 zenon_H29e zenon_H29f zenon_H72 zenon_H29d. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.00/1.21 apply (zenon_L313_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L123_); trivial. % 1.00/1.21 apply (zenon_L315_); trivial. % 1.00/1.21 (* end of lemma zenon_L710_ *) % 1.00/1.21 assert (zenon_L711_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H28f zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H20d zenon_H20c zenon_H16 zenon_Hef. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.21 apply (zenon_L710_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.21 apply (zenon_L123_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.00/1.21 apply (zenon_L313_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L123_); trivial. % 1.00/1.21 apply (zenon_L345_); trivial. % 1.00/1.21 (* end of lemma zenon_L711_ *) % 1.00/1.21 assert (zenon_L712_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp15)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H108 zenon_H28f zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_He8 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H9. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.21 apply (zenon_L332_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.21 apply (zenon_L123_); trivial. % 1.00/1.21 apply (zenon_L349_); trivial. % 1.00/1.21 (* end of lemma zenon_L712_ *) % 1.00/1.21 assert (zenon_L713_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(c0_1 (a505))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1d3 zenon_H10b zenon_H9 zenon_H22e zenon_H20b zenon_He8 zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H20c zenon_H20d zenon_H2b2 zenon_H28f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.21 apply (zenon_L711_); trivial. % 1.00/1.21 apply (zenon_L712_); trivial. % 1.00/1.21 (* end of lemma zenon_L713_ *) % 1.00/1.21 assert (zenon_L714_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1fc zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_H192 zenon_H158 zenon_H3a zenon_H39 zenon_H3b zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_He8 zenon_H166 zenon_H174 zenon_H9 zenon_H22e zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_H2b2 zenon_H28f zenon_H10b zenon_H173 zenon_H195 zenon_H144. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.21 apply (zenon_L476_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.21 apply (zenon_L343_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.21 apply (zenon_L346_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L507_); trivial. % 1.00/1.21 apply (zenon_L347_); trivial. % 1.00/1.21 apply (zenon_L706_); trivial. % 1.00/1.21 apply (zenon_L708_); trivial. % 1.00/1.21 apply (zenon_L709_); trivial. % 1.00/1.21 apply (zenon_L713_); trivial. % 1.00/1.21 (* end of lemma zenon_L714_ *) % 1.00/1.21 assert (zenon_L715_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H5e zenon_H36 zenon_H11d zenon_H11b zenon_He3 zenon_H1dc zenon_H144 zenon_H195 zenon_H173 zenon_H10b zenon_H28f zenon_H2b2 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H22e zenon_H174 zenon_H166 zenon_He8 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H158 zenon_H192 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fc. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.21 apply (zenon_L714_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.21 apply (zenon_L343_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.21 apply (zenon_L348_); trivial. % 1.00/1.21 apply (zenon_L360_); trivial. % 1.00/1.21 apply (zenon_L363_); trivial. % 1.00/1.21 apply (zenon_L365_); trivial. % 1.00/1.21 (* end of lemma zenon_L715_ *) % 1.00/1.21 assert (zenon_L716_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H61 zenon_H144 zenon_H173 zenon_H22e zenon_H166 zenon_H158 zenon_H192 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fc zenon_Hd zenon_Hb zenon_H10b zenon_H28f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H1dc zenon_H174 zenon_He8 zenon_He3 zenon_H11b zenon_H11d zenon_H195 zenon_H36. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.21 apply (zenon_L7_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.21 apply (zenon_L346_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L313_); trivial. % 1.00/1.21 apply (zenon_L704_); trivial. % 1.00/1.21 apply (zenon_L705_); trivial. % 1.00/1.21 apply (zenon_L365_); trivial. % 1.00/1.21 apply (zenon_L715_); trivial. % 1.00/1.21 (* end of lemma zenon_L716_ *) % 1.00/1.21 assert (zenon_L717_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H108 zenon_He8 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H28f zenon_H1cc zenon_H1cb zenon_H1ca zenon_H1dc zenon_H29d zenon_H29f zenon_H29e zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.00/1.21 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.21 apply (zenon_L339_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L313_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.21 apply (zenon_L315_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.21 apply (zenon_L123_); trivial. % 1.00/1.21 apply (zenon_L361_); trivial. % 1.00/1.21 (* end of lemma zenon_L717_ *) % 1.00/1.21 assert (zenon_L718_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1d3 zenon_H10b zenon_He8 zenon_H20b zenon_H1dc zenon_H1a zenon_H19 zenon_H18 zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H20c zenon_H20d zenon_H2b2 zenon_H28f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.21 apply (zenon_L711_); trivial. % 1.00/1.21 apply (zenon_L717_); trivial. % 1.00/1.21 (* end of lemma zenon_L718_ *) % 1.00/1.21 assert (zenon_L719_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1fc zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_Hbd zenon_H19e zenon_H90 zenon_H1 zenon_Ha4 zenon_Ha2 zenon_H96 zenon_H93 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_Hc1 zenon_H1c4 zenon_H196 zenon_He8 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_H2b2 zenon_H28f zenon_H18 zenon_H19 zenon_H1a zenon_H1dc zenon_H10b zenon_H192 zenon_H144. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.21 apply (zenon_L476_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.21 apply (zenon_L265_); trivial. % 1.00/1.21 apply (zenon_L363_); trivial. % 1.00/1.21 apply (zenon_L718_); trivial. % 1.00/1.21 (* end of lemma zenon_L719_ *) % 1.00/1.21 assert (zenon_L720_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (c1_1 (a541)) -> (c0_1 (a541)) -> (~(c2_1 (a541))) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H198 zenon_H135 zenon_H134 zenon_H142 zenon_H17 zenon_H129 zenon_H128 zenon_H127 zenon_H16 zenon_H3. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 1.00/1.21 apply (zenon_L142_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 1.00/1.21 apply (zenon_L71_); trivial. % 1.00/1.21 exact (zenon_H3 zenon_H4). % 1.00/1.21 (* end of lemma zenon_L720_ *) % 1.00/1.21 assert (zenon_L721_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (~(hskp6)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H130 zenon_H1dc zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_He8 zenon_H198 zenon_H135 zenon_H134 zenon_H142 zenon_H3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.21 apply (zenon_L332_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.21 apply (zenon_L71_); trivial. % 1.00/1.21 apply (zenon_L720_); trivial. % 1.00/1.21 (* end of lemma zenon_L721_ *) % 1.00/1.21 assert (zenon_L722_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H191 zenon_H145 zenon_H1dc zenon_H142 zenon_H134 zenon_H135 zenon_H3 zenon_H198 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H18 zenon_H19 zenon_H1a zenon_H121. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.21 apply (zenon_L527_); trivial. % 1.00/1.21 apply (zenon_L721_); trivial. % 1.00/1.21 (* end of lemma zenon_L722_ *) % 1.00/1.21 assert (zenon_L723_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H144 zenon_H195 zenon_H1dc zenon_H14a zenon_H14b zenon_H14c zenon_H18 zenon_H1a zenon_H19 zenon_H174 zenon_H121 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H198 zenon_H3 zenon_H145 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.21 apply (zenon_L476_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.21 apply (zenon_L618_); trivial. % 1.00/1.21 apply (zenon_L721_); trivial. % 1.00/1.21 apply (zenon_L722_); trivial. % 1.00/1.21 (* end of lemma zenon_L723_ *) % 1.00/1.21 assert (zenon_L724_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a500)) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H28f zenon_H29d zenon_H29f zenon_H29e zenon_H62 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2b2 zenon_H22 zenon_H24 zenon_H23 zenon_H20d zenon_H20c zenon_H16 zenon_Hef. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.21 apply (zenon_L315_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.21 apply (zenon_L123_); trivial. % 1.00/1.21 apply (zenon_L513_); trivial. % 1.00/1.21 (* end of lemma zenon_L724_ *) % 1.00/1.21 assert (zenon_L725_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1d3 zenon_H33 zenon_H10b zenon_H1fa zenon_H1dc zenon_H1a zenon_H19 zenon_H18 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H29d zenon_H29e zenon_H29f zenon_H28f zenon_H2b2 zenon_He8 zenon_H20b zenon_H20c zenon_H20d zenon_H214 zenon_H216. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.21 apply (zenon_L161_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.21 apply (zenon_L150_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L313_); trivial. % 1.00/1.21 apply (zenon_L724_); trivial. % 1.00/1.21 apply (zenon_L717_); trivial. % 1.00/1.21 (* end of lemma zenon_L725_ *) % 1.00/1.21 assert (zenon_L726_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a530))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (c3_1 (a530)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H10c zenon_H16 zenon_H21b zenon_Hc4 zenon_H223. % 1.00/1.21 generalize (zenon_H10c (a530)). zenon_intro zenon_H224. % 1.00/1.21 apply (zenon_imply_s _ _ zenon_H224); [ zenon_intro zenon_H15 | zenon_intro zenon_H225 ]. % 1.00/1.21 exact (zenon_H15 zenon_H16). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H222 | zenon_intro zenon_H226 ]. % 1.00/1.21 exact (zenon_H21b zenon_H222). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H21a | zenon_intro zenon_H227 ]. % 1.00/1.21 generalize (zenon_Hc4 (a530)). zenon_intro zenon_H2fd. % 1.00/1.21 apply (zenon_imply_s _ _ zenon_H2fd); [ zenon_intro zenon_H15 | zenon_intro zenon_H2fe ]. % 1.00/1.21 exact (zenon_H15 zenon_H16). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H220 | zenon_intro zenon_H2ff ]. % 1.00/1.21 exact (zenon_H21a zenon_H220). % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H222 | zenon_intro zenon_H227 ]. % 1.00/1.21 exact (zenon_H21b zenon_H222). % 1.00/1.21 exact (zenon_H227 zenon_H223). % 1.00/1.21 exact (zenon_H227 zenon_H223). % 1.00/1.21 (* end of lemma zenon_L726_ *) % 1.00/1.21 assert (zenon_L727_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a530)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (~(c1_1 (a530))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H2b2 zenon_H223 zenon_Hc4 zenon_H21b zenon_H20d zenon_H20c zenon_Hf3 zenon_H16 zenon_Hef. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H10c | zenon_intro zenon_H2b3 ]. % 1.00/1.21 apply (zenon_L726_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2ae | zenon_intro zenon_Hf0 ]. % 1.00/1.21 apply (zenon_L344_); trivial. % 1.00/1.21 exact (zenon_Hef zenon_Hf0). % 1.00/1.21 (* end of lemma zenon_L727_ *) % 1.00/1.21 assert (zenon_L728_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a530)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (~(c1_1 (a530))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.00/1.21 do 0 intro. intros zenon_H28f zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_H20b zenon_H2b2 zenon_H223 zenon_Hc4 zenon_H21b zenon_H20d zenon_H20c zenon_H16 zenon_Hef. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.21 apply (zenon_L331_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.21 apply (zenon_L172_); trivial. % 1.00/1.21 apply (zenon_L727_); trivial. % 1.00/1.21 (* end of lemma zenon_L728_ *) % 1.00/1.21 assert (zenon_L729_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a530))) -> (c3_1 (a530)) -> (~(c0_1 (a505))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a500)) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.00/1.21 do 0 intro. intros zenon_He8 zenon_H21b zenon_H223 zenon_H20b zenon_H1fa zenon_H28f zenon_H29d zenon_H29f zenon_H29e zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2b2 zenon_H22 zenon_H24 zenon_H23 zenon_H20d zenon_H20c zenon_H16 zenon_Hef. % 1.00/1.21 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.21 apply (zenon_L728_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L313_); trivial. % 1.00/1.21 apply (zenon_L724_); trivial. % 1.00/1.21 (* end of lemma zenon_L729_ *) % 1.00/1.21 assert (zenon_L730_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a530))) -> (c3_1 (a530)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp13)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H1d3 zenon_H33 zenon_H10b zenon_H1dc zenon_H1a zenon_H19 zenon_H18 zenon_H28f zenon_H21b zenon_H223 zenon_H2b2 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_He8 zenon_H1 zenon_H11 zenon_H13. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.21 apply (zenon_L10_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.21 apply (zenon_L729_); trivial. % 1.00/1.21 apply (zenon_L717_); trivial. % 1.00/1.21 (* end of lemma zenon_L730_ *) % 1.00/1.21 assert (zenon_L731_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H36 zenon_H195 zenon_H11d zenon_H11b zenon_He3 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H29d zenon_H29e zenon_H29f zenon_H1dc zenon_H174 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_He8 zenon_Hd zenon_H1fc zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H192 zenon_H158 zenon_H166 zenon_H22e zenon_H2b2 zenon_H28f zenon_H10b zenon_H173 zenon_H144 zenon_H61. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.21 apply (zenon_L7_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.21 apply (zenon_L150_); trivial. % 1.00/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.21 apply (zenon_L313_); trivial. % 1.00/1.21 apply (zenon_L704_); trivial. % 1.00/1.21 apply (zenon_L365_); trivial. % 1.00/1.21 apply (zenon_L715_); trivial. % 1.00/1.21 apply (zenon_L329_); trivial. % 1.00/1.21 (* end of lemma zenon_L731_ *) % 1.00/1.21 assert (zenon_L732_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.00/1.21 do 0 intro. intros zenon_H252 zenon_H23e zenon_H184 zenon_H33 zenon_H216 zenon_H145 zenon_H198 zenon_H121 zenon_H13 zenon_H22a zenon_H251 zenon_H196 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H7f zenon_H61 zenon_H144 zenon_H173 zenon_H22e zenon_H166 zenon_H158 zenon_H192 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fc zenon_Hd zenon_H10b zenon_H28f zenon_H2b2 zenon_H1dc zenon_H174 zenon_He3 zenon_H11b zenon_H11d zenon_H195 zenon_H36 zenon_H146 zenon_H143 zenon_Hc3 zenon_H1c4 zenon_Ha4 zenon_H90 zenon_H19e zenon_Hbd zenon_H3 zenon_H7 zenon_H1a0 zenon_H209. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.21 apply (zenon_L334_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.21 apply (zenon_L716_); trivial. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.21 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.21 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.22 apply (zenon_L4_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.22 apply (zenon_L174_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.22 apply (zenon_L719_); trivial. % 1.00/1.22 apply (zenon_L320_); trivial. % 1.00/1.22 apply (zenon_L321_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.22 apply (zenon_L333_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.22 apply (zenon_L7_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.22 apply (zenon_L723_); trivial. % 1.00/1.22 apply (zenon_L725_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.22 apply (zenon_L723_); trivial. % 1.00/1.22 apply (zenon_L730_); trivial. % 1.00/1.22 apply (zenon_L94_); trivial. % 1.00/1.22 apply (zenon_L329_); trivial. % 1.00/1.22 apply (zenon_L731_); trivial. % 1.00/1.22 (* end of lemma zenon_L732_ *) % 1.00/1.22 assert (zenon_L733_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H130 zenon_H1dc zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_He8 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.22 apply (zenon_L332_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.22 apply (zenon_L71_); trivial. % 1.00/1.22 apply (zenon_L12_); trivial. % 1.00/1.22 (* end of lemma zenon_L733_ *) % 1.00/1.22 assert (zenon_L734_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H144 zenon_H145 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H1dc zenon_H19 zenon_H1a zenon_H18 zenon_H276 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.22 apply (zenon_L476_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.22 apply (zenon_L582_); trivial. % 1.00/1.22 apply (zenon_L733_); trivial. % 1.00/1.22 (* end of lemma zenon_L734_ *) % 1.00/1.22 assert (zenon_L735_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H32 zenon_H1fc zenon_H10b zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H2b2 zenon_H28f zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H276 zenon_H1dc zenon_H121 zenon_H244 zenon_H243 zenon_H242 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H145 zenon_H144. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.22 apply (zenon_L734_); trivial. % 1.00/1.22 apply (zenon_L718_); trivial. % 1.00/1.22 (* end of lemma zenon_L735_ *) % 1.00/1.22 assert (zenon_L736_ : ((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> (~(hskp22)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H175 zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_He8 zenon_H166 zenon_H39 zenon_H3a zenon_H3b zenon_H164. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.00/1.22 apply (zenon_L184_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.00/1.22 apply (zenon_L332_); trivial. % 1.00/1.22 apply (zenon_L87_); trivial. % 1.00/1.22 (* end of lemma zenon_L736_ *) % 1.00/1.22 assert (zenon_L737_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp22)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H173 zenon_H276 zenon_H164 zenon_H166 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H244 zenon_H243 zenon_H242 zenon_H16 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H3b zenon_H39 zenon_H3a zenon_H158. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.00/1.22 apply (zenon_L343_); trivial. % 1.00/1.22 apply (zenon_L736_); trivial. % 1.00/1.22 (* end of lemma zenon_L737_ *) % 1.00/1.22 assert (zenon_L738_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H32 zenon_H192 zenon_H10b zenon_H1dc zenon_H28f zenon_H2b2 zenon_H158 zenon_H3a zenon_H39 zenon_H3b zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H242 zenon_H243 zenon_H244 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H166 zenon_H276 zenon_H173. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.22 apply (zenon_L737_); trivial. % 1.00/1.22 apply (zenon_L363_); trivial. % 1.00/1.22 (* end of lemma zenon_L738_ *) % 1.00/1.22 assert (zenon_L739_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H61 zenon_H195 zenon_H173 zenon_H22e zenon_H174 zenon_H166 zenon_H158 zenon_H192 zenon_Hd zenon_Hb zenon_H144 zenon_H145 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H1dc zenon_H276 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H28f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H10b zenon_H1fc zenon_H36. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.22 apply (zenon_L7_); trivial. % 1.00/1.22 apply (zenon_L735_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.22 apply (zenon_L714_); trivial. % 1.00/1.22 apply (zenon_L738_); trivial. % 1.00/1.22 (* end of lemma zenon_L739_ *) % 1.00/1.22 assert (zenon_L740_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H252 zenon_H23e zenon_H184 zenon_H33 zenon_H216 zenon_H13 zenon_H22a zenon_H251 zenon_H196 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H7f zenon_H61 zenon_H195 zenon_H173 zenon_H22e zenon_H174 zenon_H166 zenon_H158 zenon_H192 zenon_Hd zenon_H144 zenon_H145 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H1dc zenon_H276 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H28f zenon_H2b2 zenon_H10b zenon_H1fc zenon_H36 zenon_H1a0 zenon_H209. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.22 apply (zenon_L334_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.22 apply (zenon_L739_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.22 apply (zenon_L174_); trivial. % 1.00/1.22 apply (zenon_L735_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.22 apply (zenon_L333_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.22 apply (zenon_L7_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.22 apply (zenon_L734_); trivial. % 1.00/1.22 apply (zenon_L725_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.22 apply (zenon_L734_); trivial. % 1.00/1.22 apply (zenon_L730_); trivial. % 1.00/1.22 apply (zenon_L94_); trivial. % 1.00/1.22 apply (zenon_L329_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.22 apply (zenon_L739_); trivial. % 1.00/1.22 apply (zenon_L329_); trivial. % 1.00/1.22 (* end of lemma zenon_L740_ *) % 1.00/1.22 assert (zenon_L741_ : ((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H255 zenon_H250 zenon_H184 zenon_H216 zenon_H13 zenon_H22a zenon_H251 zenon_H7f zenon_H195 zenon_H173 zenon_H22e zenon_H174 zenon_H166 zenon_H158 zenon_H192 zenon_Hd zenon_H145 zenon_H121 zenon_H276 zenon_H28f zenon_H2b2 zenon_H10b zenon_H36 zenon_H209 zenon_H1a0 zenon_H61 zenon_H7 zenon_H3 zenon_H1fc zenon_H1fa zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1e2 zenon_Ha4 zenon_H1dc zenon_H198 zenon_H1f1 zenon_H196 zenon_He3 zenon_H1f8 zenon_H33 zenon_H144 zenon_Hc3 zenon_He8 zenon_H143 zenon_H146 zenon_H29d zenon_H29e zenon_H29f zenon_H1c9 zenon_H23e. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.22 apply (zenon_L702_); trivial. % 1.00/1.22 apply (zenon_L740_); trivial. % 1.00/1.22 (* end of lemma zenon_L741_ *) % 1.00/1.22 assert (zenon_L742_ : ((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H23f zenon_H209 zenon_H1a0 zenon_H36 zenon_H1dc zenon_Hd zenon_H1fc zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H192 zenon_H158 zenon_H166 zenon_H22e zenon_H2b2 zenon_H28f zenon_H10b zenon_H173 zenon_H144 zenon_H61 zenon_H7f zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H174 zenon_H262 zenon_H261 zenon_H260 zenon_He3 zenon_H11b zenon_H11d zenon_H195 zenon_H251. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.22 apply (zenon_L394_); trivial. % 1.00/1.22 apply (zenon_L731_); trivial. % 1.00/1.22 (* end of lemma zenon_L742_ *) % 1.00/1.22 assert (zenon_L743_ : ((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501)))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H27a zenon_H279 zenon_H276 zenon_H23e zenon_H1c9 zenon_H29f zenon_H29e zenon_H29d zenon_H1fa zenon_Ha4 zenon_Hc3 zenon_He8 zenon_H143 zenon_H1a0 zenon_H209 zenon_H36 zenon_H195 zenon_H11d zenon_He3 zenon_H174 zenon_H1dc zenon_H2b2 zenon_H28f zenon_H10b zenon_Hd zenon_H1fc zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H192 zenon_H158 zenon_H166 zenon_H22e zenon_H173 zenon_H144 zenon_H61 zenon_H7f zenon_H196 zenon_H251 zenon_H250. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.22 apply (zenon_L392_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.22 apply (zenon_L334_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.22 apply (zenon_L716_); trivial. % 1.00/1.22 apply (zenon_L391_); trivial. % 1.00/1.22 apply (zenon_L742_); trivial. % 1.00/1.22 apply (zenon_L396_); trivial. % 1.00/1.22 (* end of lemma zenon_L743_ *) % 1.00/1.22 assert (zenon_L744_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H23e zenon_H251 zenon_H196 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H29f zenon_H29e zenon_H29d zenon_H16 zenon_H7f zenon_H1c9 zenon_H47 zenon_H1fc zenon_H1fa zenon_H1c3 zenon_H1f1 zenon_H27d zenon_H27e zenon_H27f zenon_Ha4 zenon_H198 zenon_H3 zenon_H1dc zenon_H144 zenon_Hc3 zenon_He8 zenon_H143 zenon_H1a0 zenon_H209. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 1.00/1.22 apply (zenon_L700_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 1.00/1.22 exact (zenon_H11 zenon_H12). % 1.00/1.22 exact (zenon_H7c zenon_H7d). % 1.00/1.22 apply (zenon_L322_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.22 apply (zenon_L314_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.22 apply (zenon_L476_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.00/1.22 apply (zenon_L700_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.00/1.22 apply (zenon_L276_); trivial. % 1.00/1.22 apply (zenon_L277_); trivial. % 1.00/1.22 apply (zenon_L398_); trivial. % 1.00/1.22 apply (zenon_L320_); trivial. % 1.00/1.22 apply (zenon_L330_); trivial. % 1.00/1.22 (* end of lemma zenon_L744_ *) % 1.00/1.22 assert (zenon_L745_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H13f zenon_H10b zenon_H28f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H22e zenon_H9 zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_He8. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.22 apply (zenon_L346_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.22 apply (zenon_L507_); trivial. % 1.00/1.22 apply (zenon_L401_); trivial. % 1.00/1.22 apply (zenon_L405_); trivial. % 1.00/1.22 (* end of lemma zenon_L745_ *) % 1.00/1.22 assert (zenon_L746_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(c0_1 (a505))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1d3 zenon_H10b zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_H20b zenon_H22e zenon_H9 zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H20c zenon_H20d zenon_H2b2 zenon_H28f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.22 apply (zenon_L711_); trivial. % 1.00/1.22 apply (zenon_L405_); trivial. % 1.00/1.22 (* end of lemma zenon_L746_ *) % 1.00/1.22 assert (zenon_L747_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1fc zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_He8 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c zenon_H9 zenon_H22e zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H2b2 zenon_H28f zenon_H10b zenon_H144. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.22 apply (zenon_L476_); trivial. % 1.00/1.22 apply (zenon_L745_); trivial. % 1.00/1.22 apply (zenon_L746_); trivial. % 1.00/1.22 (* end of lemma zenon_L747_ *) % 1.00/1.22 assert (zenon_L748_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H252 zenon_H23e zenon_H251 zenon_H196 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H7f zenon_H1fc zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c zenon_H22e zenon_H2b2 zenon_H28f zenon_H10b zenon_H144 zenon_H1dc zenon_H36 zenon_H209. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.22 apply (zenon_L334_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.22 apply (zenon_L747_); trivial. % 1.00/1.22 apply (zenon_L404_); trivial. % 1.00/1.22 apply (zenon_L295_); trivial. % 1.00/1.22 (* end of lemma zenon_L748_ *) % 1.00/1.22 assert (zenon_L749_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H250 zenon_H11b zenon_H23c zenon_H22e zenon_H2b2 zenon_H28f zenon_H10b zenon_H36 zenon_H209 zenon_H1a0 zenon_H143 zenon_He8 zenon_Hc3 zenon_H144 zenon_H1dc zenon_H3 zenon_H198 zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H1f1 zenon_H1c3 zenon_H1fa zenon_H1fc zenon_H1c9 zenon_H7f zenon_H16 zenon_H29d zenon_H29e zenon_H29f zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H196 zenon_H251 zenon_H23e. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.22 apply (zenon_L744_); trivial. % 1.00/1.22 apply (zenon_L748_); trivial. % 1.00/1.22 (* end of lemma zenon_L749_ *) % 1.00/1.22 assert (zenon_L750_ : ((ndr1_0)/\((c1_1 (a498))/\((~(c0_1 (a498)))/\(~(c2_1 (a498)))))) -> ((~(hskp5))\/((ndr1_0)/\((c0_1 (a499))/\((c2_1 (a499))/\(~(c1_1 (a499))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H2cd zenon_H2ce zenon_H23c zenon_H279 zenon_H276 zenon_H23e zenon_H1c9 zenon_H146 zenon_H143 zenon_He8 zenon_Hc3 zenon_H144 zenon_H33 zenon_H1f8 zenon_H196 zenon_H1f1 zenon_H198 zenon_H1dc zenon_Ha4 zenon_H1e2 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fa zenon_H1fc zenon_H7 zenon_H61 zenon_H1a0 zenon_H209 zenon_Hbd zenon_H19e zenon_H90 zenon_H1c4 zenon_H36 zenon_H195 zenon_H11d zenon_H174 zenon_H2b2 zenon_H28f zenon_H10b zenon_Hd zenon_H192 zenon_H158 zenon_H166 zenon_H22e zenon_H173 zenon_H7f zenon_H251 zenon_H22a zenon_H13 zenon_H121 zenon_H145 zenon_H216 zenon_H184 zenon_H250 zenon_H278. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.22 apply (zenon_L702_); trivial. % 1.00/1.22 apply (zenon_L732_); trivial. % 1.00/1.22 apply (zenon_L741_); trivial. % 1.00/1.22 apply (zenon_L743_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.00/1.22 apply (zenon_L749_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.00/1.22 apply (zenon_L744_); trivial. % 1.00/1.22 apply (zenon_L740_); trivial. % 1.00/1.22 apply (zenon_L413_); trivial. % 1.00/1.22 (* end of lemma zenon_L750_ *) % 1.00/1.22 assert (zenon_L751_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp4)) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp22)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp23)) -> (~(c3_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H2d zenon_H276 zenon_H4b zenon_H93 zenon_H95 zenon_H96 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H291 zenon_H164 zenon_H29b zenon_H299 zenon_H166 zenon_H1dc zenon_H11f zenon_H142 zenon_H134 zenon_H135 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H121 zenon_H18 zenon_H19 zenon_H1a. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.00/1.22 apply (zenon_L420_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.00/1.22 apply (zenon_L533_); trivial. % 1.00/1.22 apply (zenon_L491_); trivial. % 1.00/1.22 (* end of lemma zenon_L751_ *) % 1.00/1.22 assert (zenon_L752_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (~(hskp22)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (ndr1_0) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H33 zenon_H276 zenon_H121 zenon_H11f zenon_H135 zenon_H134 zenon_H142 zenon_H1dc zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H164 zenon_H166 zenon_H93 zenon_H95 zenon_H96 zenon_H4b zenon_H291 zenon_H16 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.22 apply (zenon_L416_); trivial. % 1.00/1.22 apply (zenon_L751_); trivial. % 1.00/1.22 (* end of lemma zenon_L752_ *) % 1.00/1.22 assert (zenon_L753_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c0_1 (a540))) -> (c1_1 (a540)) -> (c3_1 (a540)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp5)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H2d zenon_H1f8 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1a zenon_H19 zenon_H18 zenon_H17a zenon_H17b zenon_H17c zenon_H28d zenon_He3. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 1.00/1.22 apply (zenon_L415_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H179 | zenon_intro zenon_H28e ]. % 1.00/1.22 apply (zenon_L89_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H10c | zenon_intro zenon_H17 ]. % 1.00/1.22 apply (zenon_L139_); trivial. % 1.00/1.22 apply (zenon_L12_); trivial. % 1.00/1.22 exact (zenon_He3 zenon_He4). % 1.00/1.22 (* end of lemma zenon_L753_ *) % 1.00/1.22 assert (zenon_L754_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H183 zenon_H33 zenon_H1f8 zenon_He3 zenon_H18 zenon_H19 zenon_H1a zenon_H28d zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.22 apply (zenon_L416_); trivial. % 1.00/1.22 apply (zenon_L753_); trivial. % 1.00/1.22 (* end of lemma zenon_L754_ *) % 1.00/1.22 assert (zenon_L755_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H144 zenon_H192 zenon_H1f8 zenon_H28d zenon_H33 zenon_H276 zenon_H121 zenon_H1dc zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H166 zenon_H93 zenon_H95 zenon_H96 zenon_H4b zenon_H291 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_He3 zenon_He5 zenon_H145 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.22 apply (zenon_L476_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.22 apply (zenon_L752_); trivial. % 1.00/1.22 apply (zenon_L72_); trivial. % 1.00/1.22 apply (zenon_L754_); trivial. % 1.00/1.22 (* end of lemma zenon_L755_ *) % 1.00/1.22 assert (zenon_L756_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H61 zenon_H7 zenon_H3 zenon_Hd zenon_Hb zenon_H144 zenon_H192 zenon_H1f8 zenon_H28d zenon_H33 zenon_H276 zenon_H121 zenon_H1dc zenon_H29b zenon_H299 zenon_H166 zenon_H4b zenon_H291 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1e2 zenon_He3 zenon_He5 zenon_H145 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_Hb4 zenon_Hb2 zenon_H47 zenon_H57 zenon_H5b zenon_H1fc zenon_H36 zenon_H146. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.22 apply (zenon_L4_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.22 apply (zenon_L7_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.22 apply (zenon_L755_); trivial. % 1.00/1.22 apply (zenon_L125_); trivial. % 1.00/1.22 apply (zenon_L424_); trivial. % 1.00/1.22 (* end of lemma zenon_L756_ *) % 1.00/1.22 assert (zenon_L757_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp22)) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (ndr1_0) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H33 zenon_H10b zenon_H1dc zenon_H166 zenon_H164 zenon_H18 zenon_H1a zenon_H19 zenon_H299 zenon_H29b zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2b2 zenon_H20d zenon_H20c zenon_H28f zenon_H16 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.22 apply (zenon_L416_); trivial. % 1.00/1.22 apply (zenon_L536_); trivial. % 1.00/1.22 (* end of lemma zenon_L757_ *) % 1.00/1.22 assert (zenon_L758_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1d3 zenon_H192 zenon_H1f8 zenon_He3 zenon_H28d zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H166 zenon_H1dc zenon_H10b zenon_H33. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.22 apply (zenon_L757_); trivial. % 1.00/1.22 apply (zenon_L754_); trivial. % 1.00/1.22 (* end of lemma zenon_L758_ *) % 1.00/1.22 assert (zenon_L759_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H32 zenon_H1fc zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H10b zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H145 zenon_He5 zenon_He3 zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H291 zenon_H4b zenon_H96 zenon_H95 zenon_H93 zenon_H166 zenon_H299 zenon_H29b zenon_H1dc zenon_H121 zenon_H276 zenon_H33 zenon_H28d zenon_H1f8 zenon_H192 zenon_H144. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.22 apply (zenon_L755_); trivial. % 1.00/1.22 apply (zenon_L758_); trivial. % 1.00/1.22 (* end of lemma zenon_L759_ *) % 1.00/1.22 assert (zenon_L760_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H61 zenon_H7 zenon_H3 zenon_Hd zenon_Hb zenon_H144 zenon_H192 zenon_H1f8 zenon_H28d zenon_H33 zenon_H276 zenon_H121 zenon_H1dc zenon_H29b zenon_H299 zenon_H166 zenon_H4b zenon_H291 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1e2 zenon_He3 zenon_He5 zenon_H145 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H10b zenon_H2b2 zenon_H20d zenon_H20c zenon_H28f zenon_H1fc zenon_H36 zenon_H146. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.22 apply (zenon_L4_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.22 apply (zenon_L7_); trivial. % 1.00/1.22 apply (zenon_L759_); trivial. % 1.00/1.22 apply (zenon_L424_); trivial. % 1.00/1.22 (* end of lemma zenon_L760_ *) % 1.00/1.22 assert (zenon_L761_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H252 zenon_H23e zenon_H61 zenon_H7 zenon_H3 zenon_Hd zenon_H144 zenon_H192 zenon_H1f8 zenon_H28d zenon_H33 zenon_H276 zenon_H121 zenon_H1dc zenon_H29b zenon_H299 zenon_H166 zenon_H4b zenon_H291 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1e2 zenon_He3 zenon_He5 zenon_H145 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H10b zenon_H2b2 zenon_H28f zenon_H1fc zenon_H36 zenon_H146 zenon_H1fa zenon_H22e zenon_He8 zenon_Ha4 zenon_Hc3 zenon_H143 zenon_H1a0. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.22 apply (zenon_L760_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.22 apply (zenon_L4_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.22 apply (zenon_L174_); trivial. % 1.00/1.22 apply (zenon_L759_); trivial. % 1.00/1.22 apply (zenon_L492_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.22 apply (zenon_L760_); trivial. % 1.00/1.22 apply (zenon_L151_); trivial. % 1.00/1.22 (* end of lemma zenon_L761_ *) % 1.00/1.22 assert (zenon_L762_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H61 zenon_H291 zenon_H4b zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H7 zenon_H3 zenon_Hd zenon_Hb zenon_H1fc zenon_H5b zenon_H57 zenon_H47 zenon_Hb2 zenon_Hb4 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_Hbd zenon_H19e zenon_H90 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_Hc1 zenon_H1c4 zenon_H196 zenon_H27f zenon_H27e zenon_H27d zenon_H28d zenon_H192 zenon_H144 zenon_Hc3 zenon_H11b zenon_H23c zenon_H143 zenon_H36 zenon_H146. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.22 apply (zenon_L683_); trivial. % 1.00/1.22 apply (zenon_L424_); trivial. % 1.00/1.22 (* end of lemma zenon_L762_ *) % 1.00/1.22 assert (zenon_L763_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (~(hskp22)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H130 zenon_H33 zenon_H276 zenon_H198 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H164 zenon_H166 zenon_H244 zenon_H243 zenon_H242 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.22 apply (zenon_L416_); trivial. % 1.00/1.22 apply (zenon_L620_); trivial. % 1.00/1.22 (* end of lemma zenon_L763_ *) % 1.00/1.22 assert (zenon_L764_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp22)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (ndr1_0) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H145 zenon_H33 zenon_H198 zenon_H29b zenon_H299 zenon_H164 zenon_H166 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_H16 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H135 zenon_H134 zenon_H142 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H1dc zenon_H19 zenon_H1a zenon_H18 zenon_H276. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.00/1.22 apply (zenon_L582_); trivial. % 1.00/1.22 apply (zenon_L763_); trivial. % 1.00/1.22 (* end of lemma zenon_L764_ *) % 1.00/1.22 assert (zenon_L765_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a528))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H144 zenon_H192 zenon_H291 zenon_H4b zenon_H27d zenon_H27e zenon_H27f zenon_H28d zenon_H276 zenon_H18 zenon_H1a zenon_H19 zenon_H1dc zenon_H121 zenon_H244 zenon_H243 zenon_H242 zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H166 zenon_H299 zenon_H29b zenon_H198 zenon_H33 zenon_H145 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.22 apply (zenon_L476_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.22 apply (zenon_L764_); trivial. % 1.00/1.22 apply (zenon_L452_); trivial. % 1.00/1.22 (* end of lemma zenon_L765_ *) % 1.00/1.22 assert (zenon_L766_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H61 zenon_H5c zenon_Hd zenon_Hb zenon_H144 zenon_H192 zenon_H291 zenon_H4b zenon_H27d zenon_H27e zenon_H27f zenon_H28d zenon_H276 zenon_H1dc zenon_H121 zenon_H244 zenon_H243 zenon_H242 zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H166 zenon_H299 zenon_H29b zenon_H198 zenon_H33 zenon_H145 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_Hb4 zenon_Hb2 zenon_H47 zenon_H57 zenon_H5b zenon_H1fc zenon_H36. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.22 apply (zenon_L7_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.22 apply (zenon_L765_); trivial. % 1.00/1.22 apply (zenon_L125_); trivial. % 1.00/1.22 apply (zenon_L25_); trivial. % 1.00/1.22 (* end of lemma zenon_L766_ *) % 1.00/1.22 assert (zenon_L767_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1d3 zenon_H10b zenon_H270 zenon_Hb2 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H198 zenon_H3 zenon_H28f zenon_H244 zenon_H243 zenon_H242 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H47 zenon_Hf1. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.22 apply (zenon_L153_); trivial. % 1.00/1.22 apply (zenon_L691_); trivial. % 1.00/1.22 (* end of lemma zenon_L767_ *) % 1.00/1.22 assert (zenon_L768_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1a1 zenon_H1fc zenon_H10b zenon_H198 zenon_H3 zenon_H28f zenon_H47 zenon_Hf1 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H242 zenon_H243 zenon_H244 zenon_He8 zenon_H1dc zenon_H1ff zenon_H1fe zenon_H1fd zenon_Hb2 zenon_H270 zenon_H144. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.22 apply (zenon_L591_); trivial. % 1.00/1.22 apply (zenon_L767_); trivial. % 1.00/1.22 (* end of lemma zenon_L768_ *) % 1.00/1.22 assert (zenon_L769_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1d3 zenon_H192 zenon_H291 zenon_H4b zenon_H27d zenon_H27e zenon_H27f zenon_H28d zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H29b zenon_H299 zenon_H19 zenon_H1a zenon_H18 zenon_H166 zenon_H1dc zenon_H10b zenon_H33. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.22 apply (zenon_L757_); trivial. % 1.00/1.22 apply (zenon_L452_); trivial. % 1.00/1.22 (* end of lemma zenon_L769_ *) % 1.00/1.22 assert (zenon_L770_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H32 zenon_H1fc zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H10b zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H145 zenon_H33 zenon_H198 zenon_H29b zenon_H299 zenon_H166 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H1dc zenon_H276 zenon_H28d zenon_H27f zenon_H27e zenon_H27d zenon_H4b zenon_H291 zenon_H192 zenon_H144. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.00/1.22 apply (zenon_L765_); trivial. % 1.00/1.22 apply (zenon_L769_); trivial. % 1.00/1.22 (* end of lemma zenon_L770_ *) % 1.00/1.22 assert (zenon_L771_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H61 zenon_Hd zenon_Hb zenon_H144 zenon_H192 zenon_H291 zenon_H4b zenon_H27d zenon_H27e zenon_H27f zenon_H28d zenon_H276 zenon_H1dc zenon_H121 zenon_H244 zenon_H243 zenon_H242 zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H166 zenon_H299 zenon_H29b zenon_H198 zenon_H33 zenon_H145 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H10b zenon_H2b2 zenon_H20d zenon_H20c zenon_H28f zenon_H1fc zenon_H36. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.22 apply (zenon_L7_); trivial. % 1.00/1.22 apply (zenon_L770_); trivial. % 1.00/1.22 apply (zenon_L424_); trivial. % 1.00/1.22 (* end of lemma zenon_L771_ *) % 1.00/1.22 assert (zenon_L772_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H252 zenon_H1a0 zenon_H1fa zenon_H22e zenon_He8 zenon_H36 zenon_H1fc zenon_H28f zenon_H2b2 zenon_H10b zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H145 zenon_H33 zenon_H198 zenon_H29b zenon_H299 zenon_H166 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H1dc zenon_H276 zenon_H28d zenon_H27f zenon_H27e zenon_H27d zenon_H4b zenon_H291 zenon_H192 zenon_H144 zenon_Hd zenon_H61. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.22 apply (zenon_L771_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.22 apply (zenon_L174_); trivial. % 1.00/1.22 apply (zenon_L770_); trivial. % 1.00/1.22 (* end of lemma zenon_L772_ *) % 1.00/1.22 assert (zenon_L773_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1e4 zenon_H16 zenon_H300 zenon_H301 zenon_H302. % 1.00/1.22 generalize (zenon_H1e4 (a495)). zenon_intro zenon_H303. % 1.00/1.22 apply (zenon_imply_s _ _ zenon_H303); [ zenon_intro zenon_H15 | zenon_intro zenon_H304 ]. % 1.00/1.22 exact (zenon_H15 zenon_H16). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H306 | zenon_intro zenon_H305 ]. % 1.00/1.22 exact (zenon_H300 zenon_H306). % 1.00/1.22 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H308 | zenon_intro zenon_H307 ]. % 1.00/1.22 exact (zenon_H301 zenon_H308). % 1.00/1.22 exact (zenon_H307 zenon_H302). % 1.00/1.22 (* end of lemma zenon_L773_ *) % 1.00/1.22 assert (zenon_L774_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (c0_1 (a500)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_H24 zenon_H23 zenon_H22 zenon_H38 zenon_H16 zenon_H47. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.00/1.22 apply (zenon_L773_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.00/1.22 apply (zenon_L139_); trivial. % 1.00/1.22 exact (zenon_H47 zenon_H48). % 1.00/1.22 (* end of lemma zenon_L774_ *) % 1.00/1.22 assert (zenon_L775_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a532)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (~(c1_1 (a532))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_Hc5 zenon_Hc4 zenon_Hc7 zenon_H16 zenon_H47. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.00/1.22 apply (zenon_L773_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.00/1.22 apply (zenon_L501_); trivial. % 1.00/1.22 exact (zenon_H47 zenon_H48). % 1.00/1.22 (* end of lemma zenon_L775_ *) % 1.00/1.22 assert (zenon_L776_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp8)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 1.00/1.22 do 0 intro. intros zenon_He7 zenon_He8 zenon_H47 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H4b zenon_He3 zenon_He5 zenon_H63 zenon_H64 zenon_H65. % 1.00/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.22 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.22 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.00/1.22 apply (zenon_L775_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.00/1.22 apply (zenon_L51_); trivial. % 1.00/1.22 apply (zenon_L27_); trivial. % 1.00/1.22 (* end of lemma zenon_L776_ *) % 1.00/1.22 assert (zenon_L777_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H146 zenon_H143 zenon_He8 zenon_H4b zenon_He5 zenon_H13 zenon_H11 zenon_Ha4 zenon_H65 zenon_H64 zenon_H63 zenon_H1f1 zenon_H47 zenon_H302 zenon_H301 zenon_H300 zenon_He3 zenon_H1f8 zenon_H33 zenon_H1 zenon_H3 zenon_H7. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.22 apply (zenon_L4_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.22 apply (zenon_L10_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 1.00/1.22 apply (zenon_L136_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 1.00/1.22 apply (zenon_L774_); trivial. % 1.00/1.22 exact (zenon_He3 zenon_He4). % 1.00/1.22 apply (zenon_L776_); trivial. % 1.00/1.22 (* end of lemma zenon_L777_ *) % 1.00/1.22 assert (zenon_L778_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp17)) -> (ndr1_0) -> (~(c3_1 (a527))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_Ha2 zenon_H16 zenon_H93 zenon_H1de zenon_H95 zenon_H96 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H47. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.00/1.22 apply (zenon_L773_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha5 ]. % 1.00/1.22 apply (zenon_L242_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha3 ]. % 1.00/1.22 apply (zenon_L135_); trivial. % 1.00/1.22 exact (zenon_Ha2 zenon_Ha3). % 1.00/1.22 exact (zenon_H47 zenon_H48). % 1.00/1.22 (* end of lemma zenon_L778_ *) % 1.00/1.22 assert (zenon_L779_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (~(c3_1 (a527))) -> (~(hskp17)) -> (~(hskp8)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp5)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H2d zenon_H1f8 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H96 zenon_H95 zenon_H93 zenon_Ha2 zenon_H47 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_He3. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 1.00/1.22 apply (zenon_L778_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 1.00/1.22 apply (zenon_L774_); trivial. % 1.00/1.22 exact (zenon_He3 zenon_He4). % 1.00/1.22 (* end of lemma zenon_L779_ *) % 1.00/1.22 assert (zenon_L780_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c3_1 (a527))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (ndr1_0) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H33 zenon_H1f8 zenon_He3 zenon_H1f1 zenon_H47 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H93 zenon_H95 zenon_H96 zenon_Ha2 zenon_Ha4 zenon_H302 zenon_H301 zenon_H300 zenon_H16 zenon_H3 zenon_H1e2. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1de | zenon_intro zenon_H1e3 ]. % 1.00/1.22 apply (zenon_L778_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H10 | zenon_intro zenon_H4 ]. % 1.00/1.22 exact (zenon_Hf zenon_H10). % 1.00/1.22 exact (zenon_H3 zenon_H4). % 1.00/1.22 apply (zenon_L779_); trivial. % 1.00/1.22 (* end of lemma zenon_L780_ *) % 1.00/1.22 assert (zenon_L781_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (ndr1_0) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp29)) -> (~(hskp8)) -> False). % 1.00/1.22 do 0 intro. intros zenon_Hf1 zenon_H16 zenon_Hc7 zenon_Hc5 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_Hef zenon_H47. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hf2 ]. % 1.00/1.22 apply (zenon_L775_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H48 ]. % 1.00/1.22 exact (zenon_Hef zenon_Hf0). % 1.00/1.22 exact (zenon_H47 zenon_H48). % 1.00/1.22 (* end of lemma zenon_L781_ *) % 1.00/1.22 assert (zenon_L782_ : ((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp8)) -> False). % 1.00/1.22 do 0 intro. intros zenon_H124 zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_H47. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H16. zenon_intro zenon_H125. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H10e. zenon_intro zenon_H126. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10f. zenon_intro zenon_H10d. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.00/1.22 apply (zenon_L773_); trivial. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.00/1.22 apply (zenon_L63_); trivial. % 1.00/1.22 exact (zenon_H47 zenon_H48). % 1.00/1.22 (* end of lemma zenon_L782_ *) % 1.00/1.22 assert (zenon_L783_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H123 zenon_Hf1 zenon_H16 zenon_H300 zenon_H301 zenon_H302 zenon_Hc7 zenon_Hc5 zenon_H47 zenon_H1f1 zenon_H106 zenon_H104 zenon_He3 zenon_H4b zenon_He5 zenon_H10b. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H102 | zenon_intro zenon_H124 ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.00/1.22 apply (zenon_L781_); trivial. % 1.00/1.22 apply (zenon_L61_); trivial. % 1.00/1.22 apply (zenon_L782_); trivial. % 1.00/1.22 (* end of lemma zenon_L783_ *) % 1.00/1.22 assert (zenon_L784_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_He7 zenon_H144 zenon_H1c9 zenon_Hb zenon_H10b zenon_He5 zenon_H4b zenon_He3 zenon_H106 zenon_H1f1 zenon_H47 zenon_H302 zenon_H301 zenon_H300 zenon_Hf1 zenon_H123. % 1.00/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.00/1.22 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.00/1.22 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.00/1.22 apply (zenon_L783_); trivial. % 1.00/1.22 apply (zenon_L122_); trivial. % 1.00/1.22 (* end of lemma zenon_L784_ *) % 1.00/1.22 assert (zenon_L785_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 1.00/1.22 do 0 intro. intros zenon_H61 zenon_H5b zenon_H57 zenon_H5c zenon_H7 zenon_H3 zenon_H33 zenon_H1f8 zenon_He3 zenon_H1f1 zenon_H47 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H302 zenon_H301 zenon_H300 zenon_H1e2 zenon_H123 zenon_Hf1 zenon_H106 zenon_H4b zenon_He5 zenon_H10b zenon_Hb zenon_H1c9 zenon_H144 zenon_H143 zenon_H146. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.22 apply (zenon_L4_); trivial. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.22 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.22 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.22 apply (zenon_L780_); trivial. % 1.00/1.22 apply (zenon_L784_); trivial. % 1.00/1.23 apply (zenon_L25_); trivial. % 1.00/1.23 (* end of lemma zenon_L785_ *) % 1.00/1.23 assert (zenon_L786_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp17)) -> (ndr1_0) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_Ha2 zenon_H16 zenon_H3b zenon_H39 zenon_H3a zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H47. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.00/1.23 apply (zenon_L773_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha5 ]. % 1.00/1.23 apply (zenon_L242_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha3 ]. % 1.00/1.23 apply (zenon_L53_); trivial. % 1.00/1.23 exact (zenon_Ha2 zenon_Ha3). % 1.00/1.23 exact (zenon_H47 zenon_H48). % 1.00/1.23 (* end of lemma zenon_L786_ *) % 1.00/1.23 assert (zenon_L787_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a514)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H5e zenon_H143 zenon_He8 zenon_H65 zenon_H63 zenon_H64 zenon_He3 zenon_H4b zenon_He5 zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.23 apply (zenon_L786_); trivial. % 1.00/1.23 apply (zenon_L776_); trivial. % 1.00/1.23 (* end of lemma zenon_L787_ *) % 1.00/1.23 assert (zenon_L788_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H7 zenon_H3 zenon_H33 zenon_H1f8 zenon_He3 zenon_H1f1 zenon_H47 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H302 zenon_H301 zenon_H300 zenon_H1e2 zenon_He5 zenon_H4b zenon_He8 zenon_H143 zenon_H146. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.00/1.23 apply (zenon_L4_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.23 apply (zenon_L780_); trivial. % 1.00/1.23 apply (zenon_L776_); trivial. % 1.00/1.23 apply (zenon_L787_); trivial. % 1.00/1.23 (* end of lemma zenon_L788_ *) % 1.00/1.23 assert (zenon_L789_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_He8 zenon_H146 zenon_H143 zenon_H144 zenon_H1c9 zenon_H10b zenon_He5 zenon_H4b zenon_H106 zenon_Hf1 zenon_H123 zenon_H1e2 zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H47 zenon_H1f1 zenon_He3 zenon_H1f8 zenon_H33 zenon_H3 zenon_H7 zenon_H5c zenon_H57 zenon_H5b zenon_H61. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.23 apply (zenon_L785_); trivial. % 1.00/1.23 apply (zenon_L788_); trivial. % 1.00/1.23 (* end of lemma zenon_L789_ *) % 1.00/1.23 assert (zenon_L790_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp8)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp2)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H2d zenon_Hb7 zenon_H244 zenon_H243 zenon_H242 zenon_H47 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H2b. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H94 | zenon_intro zenon_Hbb ]. % 1.00/1.23 apply (zenon_L184_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H38 | zenon_intro zenon_H2c ]. % 1.00/1.23 apply (zenon_L774_); trivial. % 1.00/1.23 exact (zenon_H2b zenon_H2c). % 1.00/1.23 (* end of lemma zenon_L790_ *) % 1.00/1.23 assert (zenon_L791_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H61 zenon_H5b zenon_H5c zenon_H4b zenon_H13 zenon_H11 zenon_H242 zenon_H243 zenon_H244 zenon_H1f1 zenon_H47 zenon_H302 zenon_H301 zenon_H300 zenon_H2b zenon_Hb7 zenon_H33. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.00/1.23 apply (zenon_L10_); trivial. % 1.00/1.23 apply (zenon_L790_); trivial. % 1.00/1.23 apply (zenon_L186_); trivial. % 1.00/1.23 (* end of lemma zenon_L791_ *) % 1.00/1.23 assert (zenon_L792_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a514)) -> (ndr1_0) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H1 zenon_H11 zenon_H13 zenon_H1fa zenon_H65 zenon_H16 zenon_H20b zenon_H20c zenon_H20d zenon_H63 zenon_H64 zenon_H22e zenon_He8. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.00/1.23 apply (zenon_L174_); trivial. % 1.00/1.23 apply (zenon_L16_); trivial. % 1.00/1.23 (* end of lemma zenon_L792_ *) % 1.00/1.23 assert (zenon_L793_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H252 zenon_H23e zenon_H209 zenon_H1da zenon_H13 zenon_H61 zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_H5c zenon_Hb7 zenon_Hd zenon_H33 zenon_H2e zenon_H2b zenon_H216 zenon_H218 zenon_H4b zenon_H228 zenon_H1d6 zenon_Hc3 zenon_H116 zenon_H143 zenon_H22a zenon_H36 zenon_He8 zenon_H22e zenon_H1fa zenon_H1a0. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.00/1.23 apply (zenon_L212_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.00/1.23 apply (zenon_L213_); trivial. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.00/1.23 apply (zenon_L792_); trivial. % 1.00/1.23 apply (zenon_L186_); trivial. % 1.00/1.23 apply (zenon_L215_); trivial. % 1.00/1.23 (* end of lemma zenon_L793_ *) % 1.00/1.23 assert (zenon_L794_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (c0_1 (a510)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H191 zenon_H192 zenon_H184 zenon_H11 zenon_H300 zenon_H301 zenon_H302 zenon_H166 zenon_H14c zenon_H14a zenon_H14b zenon_H47 zenon_H1f1. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.00/1.23 apply (zenon_L773_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.00/1.23 apply (zenon_L455_); trivial. % 1.00/1.23 exact (zenon_H47 zenon_H48). % 1.00/1.23 apply (zenon_L90_); trivial. % 1.00/1.23 (* end of lemma zenon_L794_ *) % 1.00/1.23 assert (zenon_L795_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H24d zenon_H195 zenon_H192 zenon_H184 zenon_H11 zenon_H300 zenon_H301 zenon_H302 zenon_H166 zenon_H47 zenon_H1f1 zenon_H260 zenon_H261 zenon_H262 zenon_H174. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.00/1.23 apply (zenon_L233_); trivial. % 1.00/1.23 apply (zenon_L794_); trivial. % 1.00/1.23 (* end of lemma zenon_L795_ *) % 1.00/1.23 assert (zenon_L796_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp26)) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp8)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_H6e zenon_H6c zenon_H16 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H47. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.00/1.23 apply (zenon_L773_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.00/1.23 apply (zenon_L243_); trivial. % 1.00/1.23 exact (zenon_H47 zenon_H48). % 1.00/1.23 (* end of lemma zenon_L796_ *) % 1.00/1.23 assert (zenon_L797_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a559))) -> (~(c2_1 (a559))) -> (~(c0_1 (a559))) -> (~(hskp9)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp17)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hb6 zenon_H28f zenon_H75 zenon_H74 zenon_H73 zenon_Hc1 zenon_H18 zenon_H19 zenon_H1a zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H262 zenon_H261 zenon_H260 zenon_Ha2 zenon_H1c4. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.00/1.23 apply (zenon_L31_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.00/1.23 apply (zenon_L236_); trivial. % 1.00/1.23 apply (zenon_L99_); trivial. % 1.00/1.23 (* end of lemma zenon_L797_ *) % 1.00/1.23 assert (zenon_L798_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H7e zenon_Hbd zenon_H28f zenon_H272 zenon_Ha4 zenon_Ha2 zenon_H262 zenon_H261 zenon_H260 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H18 zenon_H19 zenon_H1a zenon_Hc1 zenon_H1c4 zenon_Hb zenon_H47 zenon_H57 zenon_H5b. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 1.00/1.23 apply (zenon_L299_); trivial. % 1.00/1.23 apply (zenon_L797_); trivial. % 1.00/1.23 (* end of lemma zenon_L798_ *) % 1.00/1.23 assert (zenon_L799_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (ndr1_0) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H83 zenon_Hbd zenon_H28f zenon_H272 zenon_Ha4 zenon_Ha2 zenon_H262 zenon_H261 zenon_H260 zenon_H18 zenon_H19 zenon_H1a zenon_Hc1 zenon_H1c4 zenon_Hb zenon_H57 zenon_H5b zenon_H16 zenon_H300 zenon_H301 zenon_H302 zenon_H70 zenon_H6c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.00/1.23 apply (zenon_L796_); trivial. % 1.00/1.23 apply (zenon_L798_); trivial. % 1.00/1.23 (* end of lemma zenon_L799_ *) % 1.00/1.23 assert (zenon_L800_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (~(hskp27)) -> (~(hskp19)) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hb6 zenon_H106 zenon_H102 zenon_H104. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 1.00/1.23 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H107 ]. % 1.00/1.23 apply (zenon_L99_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H103 | zenon_intro zenon_H105 ]. % 1.00/1.23 exact (zenon_H102 zenon_H103). % 1.00/1.23 exact (zenon_H104 zenon_H105). % 1.00/1.23 (* end of lemma zenon_L800_ *) % 1.00/1.23 assert (zenon_L801_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp27)) -> (ndr1_0) -> (~(c0_1 (a558))) -> (~(c3_1 (a558))) -> (c2_1 (a558)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> False). % 1.00/1.23 do 0 intro. intros zenon_Hbd zenon_H106 zenon_H104 zenon_H102 zenon_H16 zenon_H85 zenon_H86 zenon_H87 zenon_H1 zenon_H90. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 1.00/1.23 apply (zenon_L37_); trivial. % 1.00/1.23 apply (zenon_L800_); trivial. % 1.00/1.23 (* end of lemma zenon_L801_ *) % 1.00/1.23 assert (zenon_L802_ : ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21)))))) -> (~(c3_1 (a501))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.00/1.23 do 0 intro. intros zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H10c zenon_H262 zenon_H261 zenon_Ha6 zenon_H260 zenon_H16 zenon_Ha2. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha5 ]. % 1.00/1.23 apply (zenon_L242_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha3 ]. % 1.00/1.23 apply (zenon_L223_); trivial. % 1.00/1.23 exact (zenon_Ha2 zenon_Ha3). % 1.00/1.23 (* end of lemma zenon_L802_ *) % 1.00/1.23 assert (zenon_L803_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp17)) -> (ndr1_0) -> (~(c3_1 (a501))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21)))))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> False). % 1.00/1.23 do 0 intro. intros zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_Ha2 zenon_H16 zenon_H260 zenon_Ha6 zenon_H261 zenon_H262 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H47. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.00/1.23 apply (zenon_L773_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.00/1.23 apply (zenon_L802_); trivial. % 1.00/1.23 exact (zenon_H47 zenon_H48). % 1.00/1.23 (* end of lemma zenon_L803_ *) % 1.00/1.23 assert (zenon_L804_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.00/1.23 do 0 intro. intros zenon_H1a1 zenon_H143 zenon_He8 zenon_He3 zenon_H4b zenon_He5 zenon_H1da zenon_H2b zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H1f1 zenon_H47 zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H302 zenon_H301 zenon_H300 zenon_H1fa. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.00/1.23 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.00/1.23 apply (zenon_L155_); trivial. % 1.00/1.23 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.00/1.23 apply (zenon_L803_); trivial. % 1.00/1.23 apply (zenon_L27_); trivial. % 1.00/1.23 apply (zenon_L776_); trivial. % 1.00/1.23 (* end of lemma zenon_L804_ *) % 1.00/1.23 assert (zenon_L805_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_He8 zenon_H1da zenon_H2b zenon_H1fa zenon_H36 zenon_H143 zenon_H10b zenon_Hf1 zenon_Hc0 zenon_H123 zenon_H90 zenon_H106 zenon_H1f1 zenon_H47 zenon_H70 zenon_H302 zenon_H301 zenon_H300 zenon_H5b zenon_H57 zenon_H1c4 zenon_Hc1 zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H272 zenon_H28f zenon_Hbd zenon_H83 zenon_He5 zenon_H4b zenon_He3 zenon_H1c9 zenon_H144 zenon_Hd zenon_H5c zenon_H61. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.23 apply (zenon_L7_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.09/1.23 apply (zenon_L799_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H102 | zenon_intro zenon_H124 ]. % 1.09/1.23 apply (zenon_L801_); trivial. % 1.09/1.23 apply (zenon_L782_); trivial. % 1.09/1.23 apply (zenon_L122_); trivial. % 1.09/1.23 apply (zenon_L784_); trivial. % 1.09/1.23 apply (zenon_L25_); trivial. % 1.09/1.23 apply (zenon_L804_); trivial. % 1.09/1.23 (* end of lemma zenon_L805_ *) % 1.09/1.23 assert (zenon_L806_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (ndr1_0) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H123 zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_Hf1 zenon_H47 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H16 zenon_H106 zenon_H104 zenon_He3 zenon_H4b zenon_He5 zenon_H10b. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H102 | zenon_intro zenon_H124 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.09/1.23 apply (zenon_L153_); trivial. % 1.09/1.23 apply (zenon_L61_); trivial. % 1.09/1.23 apply (zenon_L782_); trivial. % 1.09/1.23 (* end of lemma zenon_L806_ *) % 1.09/1.23 assert (zenon_L807_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H206 zenon_H144 zenon_H33 zenon_H29b zenon_H299 zenon_H262 zenon_H261 zenon_H260 zenon_H116 zenon_He8 zenon_H10b zenon_He5 zenon_H4b zenon_He3 zenon_H106 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H47 zenon_Hf1 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H123. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.23 apply (zenon_L806_); trivial. % 1.09/1.23 apply (zenon_L672_); trivial. % 1.09/1.23 (* end of lemma zenon_L807_ *) % 1.09/1.23 assert (zenon_L808_ : ((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H23f zenon_H209 zenon_H144 zenon_H29b zenon_H299 zenon_H262 zenon_H261 zenon_H260 zenon_H116 zenon_H10b zenon_H106 zenon_Hf1 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H123 zenon_H61 zenon_H5b zenon_H57 zenon_H47 zenon_H4b zenon_H5c zenon_Hd zenon_H13 zenon_H2b zenon_H2e zenon_H33 zenon_H36 zenon_He5 zenon_He3 zenon_He8 zenon_H1a0. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.23 apply (zenon_L152_); trivial. % 1.09/1.23 apply (zenon_L807_); trivial. % 1.09/1.23 (* end of lemma zenon_L808_ *) % 1.09/1.23 assert (zenon_L809_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H23e zenon_H29b zenon_H299 zenon_H251 zenon_H195 zenon_H184 zenon_H300 zenon_H301 zenon_H302 zenon_H166 zenon_H1f1 zenon_H174 zenon_H61 zenon_H5b zenon_H57 zenon_H47 zenon_H4b zenon_H5c zenon_Hd zenon_H13 zenon_H2b zenon_H2e zenon_H33 zenon_H36 zenon_H144 zenon_H10b zenon_H106 zenon_Hf1 zenon_H116 zenon_H123 zenon_H192 zenon_H1fa zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H22e zenon_H83 zenon_H7f zenon_H70 zenon_H90 zenon_H19e zenon_Hbd zenon_Hc0 zenon_Hc3 zenon_He5 zenon_He3 zenon_He8 zenon_H143 zenon_H145 zenon_H11d zenon_H11b zenon_H121 zenon_H1a0 zenon_H1c9 zenon_H28f zenon_H272 zenon_H1c4 zenon_H1da zenon_H209. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.09/1.23 apply (zenon_L231_); trivial. % 1.09/1.23 apply (zenon_L795_); trivial. % 1.09/1.23 apply (zenon_L805_); trivial. % 1.09/1.23 apply (zenon_L808_); trivial. % 1.09/1.23 (* end of lemma zenon_L809_ *) % 1.09/1.23 assert (zenon_L810_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H23e zenon_H29b zenon_H299 zenon_H116 zenon_H2e zenon_H61 zenon_H5b zenon_H5c zenon_H4b zenon_H13 zenon_H242 zenon_H243 zenon_H244 zenon_H1f1 zenon_H47 zenon_H302 zenon_H301 zenon_H300 zenon_H2b zenon_Hb7 zenon_H33 zenon_Hd zenon_H144 zenon_H1c9 zenon_He3 zenon_He5 zenon_H83 zenon_Hbd zenon_H28f zenon_H272 zenon_Ha4 zenon_H262 zenon_H261 zenon_H260 zenon_H1c4 zenon_H57 zenon_H70 zenon_H106 zenon_H90 zenon_H123 zenon_Hc0 zenon_Hf1 zenon_H10b zenon_H143 zenon_H36 zenon_H1fa zenon_H1da zenon_He8 zenon_H1a0 zenon_H209. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.23 apply (zenon_L791_); trivial. % 1.09/1.23 apply (zenon_L805_); trivial. % 1.09/1.23 apply (zenon_L808_); trivial. % 1.09/1.23 (* end of lemma zenon_L810_ *) % 1.09/1.23 assert (zenon_L811_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_Ha2 zenon_H16 zenon_H27d zenon_H27e zenon_H27f zenon_H63 zenon_H64 zenon_H65 zenon_Ha4 zenon_H47. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.09/1.23 apply (zenon_L773_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.09/1.23 apply (zenon_L304_); trivial. % 1.09/1.23 exact (zenon_H47 zenon_H48). % 1.09/1.23 (* end of lemma zenon_L811_ *) % 1.09/1.23 assert (zenon_L812_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp8)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp7)) -> False). % 1.09/1.23 do 0 intro. intros zenon_He7 zenon_H23c zenon_H47 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H27f zenon_H27e zenon_H27d zenon_H11b. % 1.09/1.23 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.09/1.23 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.09/1.23 apply (zenon_L775_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.09/1.23 apply (zenon_L256_); trivial. % 1.09/1.23 exact (zenon_H11b zenon_H11c). % 1.09/1.23 (* end of lemma zenon_L812_ *) % 1.09/1.23 assert (zenon_L813_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1a1 zenon_H143 zenon_H23c zenon_H11b zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H47 zenon_H1f1. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.23 apply (zenon_L811_); trivial. % 1.09/1.23 apply (zenon_L812_); trivial. % 1.09/1.23 (* end of lemma zenon_L813_ *) % 1.09/1.23 assert (zenon_L814_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_Ha2 zenon_H16 zenon_H27d zenon_H27e zenon_H27f zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H47. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.09/1.23 apply (zenon_L773_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.09/1.23 apply (zenon_L263_); trivial. % 1.09/1.23 exact (zenon_H47 zenon_H48). % 1.09/1.23 (* end of lemma zenon_L814_ *) % 1.09/1.23 assert (zenon_L815_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H206 zenon_H143 zenon_H23c zenon_H11b zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H47 zenon_H1f1. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.23 apply (zenon_L814_); trivial. % 1.09/1.23 apply (zenon_L812_); trivial. % 1.09/1.23 (* end of lemma zenon_L815_ *) % 1.09/1.23 assert (zenon_L816_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H143 zenon_H10b zenon_H1da zenon_H2b zenon_H1 zenon_H1d6 zenon_H1d8 zenon_Hc3 zenon_Hc1 zenon_Hf1 zenon_H16 zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.23 apply (zenon_L814_); trivial. % 1.09/1.23 apply (zenon_L129_); trivial. % 1.09/1.23 (* end of lemma zenon_L816_ *) % 1.09/1.23 assert (zenon_L817_ : ((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H23f zenon_H209 zenon_H1a0 zenon_He8 zenon_H10b zenon_H1da zenon_H1d6 zenon_H1d8 zenon_Hf1 zenon_H57 zenon_H33 zenon_Hb7 zenon_H2b zenon_H300 zenon_H301 zenon_H302 zenon_H47 zenon_H1f1 zenon_H244 zenon_H243 zenon_H242 zenon_H13 zenon_H4b zenon_H5c zenon_H5b zenon_H61. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.23 apply (zenon_L791_); trivial. % 1.09/1.23 apply (zenon_L157_); trivial. % 1.09/1.23 (* end of lemma zenon_L817_ *) % 1.09/1.23 assert (zenon_L818_ : ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(c0_1 (a498))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (c2_1 (a527)) -> (~(c1_1 (a527))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c3_1 (a527))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.09/1.23 do 0 intro. intros zenon_Ha4 zenon_H29d zenon_H72 zenon_H29f zenon_H29e zenon_H96 zenon_H95 zenon_H1de zenon_H93 zenon_H16 zenon_Ha2. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H62 | zenon_intro zenon_Ha5 ]. % 1.09/1.23 apply (zenon_L315_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha3 ]. % 1.09/1.23 apply (zenon_L135_); trivial. % 1.09/1.23 exact (zenon_Ha2 zenon_Ha3). % 1.09/1.23 (* end of lemma zenon_L818_ *) % 1.09/1.23 assert (zenon_L819_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp17)) -> (ndr1_0) -> (~(c3_1 (a527))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a527))) -> (c2_1 (a527)) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a498))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H7f zenon_Ha2 zenon_H16 zenon_H93 zenon_H1de zenon_H95 zenon_H96 zenon_H29e zenon_H29f zenon_H29d zenon_Ha4 zenon_H11 zenon_H7c. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 1.09/1.23 apply (zenon_L818_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 1.09/1.23 exact (zenon_H11 zenon_H12). % 1.09/1.23 exact (zenon_H7c zenon_H7d). % 1.09/1.23 (* end of lemma zenon_L819_ *) % 1.09/1.23 assert (zenon_L820_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp8)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 1.09/1.23 do 0 intro. intros zenon_He7 zenon_He8 zenon_H47 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H29f zenon_H29e zenon_H29d zenon_H63 zenon_H64 zenon_H65. % 1.09/1.23 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.09/1.23 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.09/1.23 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.09/1.23 apply (zenon_L775_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.09/1.23 apply (zenon_L313_); trivial. % 1.09/1.23 apply (zenon_L27_); trivial. % 1.09/1.23 (* end of lemma zenon_L820_ *) % 1.09/1.23 assert (zenon_L821_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H5e zenon_H143 zenon_He8 zenon_H29f zenon_H29e zenon_H29d zenon_H300 zenon_H301 zenon_H302 zenon_H47 zenon_H1f1 zenon_H63 zenon_H64 zenon_H65 zenon_Ha4. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.23 apply (zenon_L54_); trivial. % 1.09/1.23 apply (zenon_L820_); trivial. % 1.09/1.23 (* end of lemma zenon_L821_ *) % 1.09/1.23 assert (zenon_L822_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H5e zenon_H143 zenon_He8 zenon_H65 zenon_H64 zenon_H63 zenon_H29f zenon_H29e zenon_H29d zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.23 apply (zenon_L786_); trivial. % 1.09/1.23 apply (zenon_L820_); trivial. % 1.09/1.23 (* end of lemma zenon_L822_ *) % 1.09/1.23 assert (zenon_L823_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H61 zenon_H7 zenon_H3 zenon_H33 zenon_H1f8 zenon_He3 zenon_H1f1 zenon_Ha4 zenon_H302 zenon_H301 zenon_H300 zenon_H1e2 zenon_He8 zenon_H143 zenon_H146 zenon_H29d zenon_H29e zenon_H29f zenon_H47 zenon_H1c9. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.23 apply (zenon_L314_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.09/1.23 apply (zenon_L4_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.23 apply (zenon_L780_); trivial. % 1.09/1.23 apply (zenon_L820_); trivial. % 1.09/1.23 apply (zenon_L822_); trivial. % 1.09/1.23 (* end of lemma zenon_L823_ *) % 1.09/1.23 assert (zenon_L824_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (ndr1_0) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H23e zenon_H251 zenon_H196 zenon_H1c9 zenon_H47 zenon_H29f zenon_H29e zenon_H29d zenon_H16 zenon_H146 zenon_H143 zenon_He8 zenon_H1e2 zenon_Ha4 zenon_H7f zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_He3 zenon_H1f8 zenon_H33 zenon_H3 zenon_H7 zenon_H61 zenon_H1a0 zenon_H209. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.23 apply (zenon_L314_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.09/1.23 apply (zenon_L4_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1de | zenon_intro zenon_H1e3 ]. % 1.09/1.23 apply (zenon_L819_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H10 | zenon_intro zenon_H4 ]. % 1.09/1.23 exact (zenon_Hf zenon_H10). % 1.09/1.23 exact (zenon_H3 zenon_H4). % 1.09/1.23 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 1.09/1.23 apply (zenon_L819_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 1.09/1.23 apply (zenon_L774_); trivial. % 1.09/1.23 exact (zenon_He3 zenon_He4). % 1.09/1.23 apply (zenon_L820_); trivial. % 1.09/1.23 apply (zenon_L821_); trivial. % 1.09/1.23 apply (zenon_L322_); trivial. % 1.09/1.23 apply (zenon_L823_); trivial. % 1.09/1.23 apply (zenon_L330_); trivial. % 1.09/1.23 (* end of lemma zenon_L824_ *) % 1.09/1.23 assert (zenon_L825_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H5e zenon_H36 zenon_H1dc zenon_H242 zenon_H243 zenon_H244 zenon_H276 zenon_H192 zenon_H158 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_He8 zenon_H166 zenon_H174 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_H2b2 zenon_H28f zenon_H22e zenon_H10b zenon_H173 zenon_H195. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.23 apply (zenon_L359_); trivial. % 1.09/1.23 apply (zenon_L738_); trivial. % 1.09/1.23 (* end of lemma zenon_L825_ *) % 1.09/1.23 assert (zenon_L826_ : ((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H23f zenon_H209 zenon_H1da zenon_H116 zenon_H10b zenon_H22e zenon_H28f zenon_H2b2 zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H1dc zenon_H7f zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H61 zenon_H195 zenon_H173 zenon_H166 zenon_H158 zenon_H174 zenon_H184 zenon_H192 zenon_Hd zenon_H13 zenon_H2b zenon_H2e zenon_H33 zenon_H36 zenon_H1a0 zenon_H251. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.23 apply (zenon_L370_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.23 apply (zenon_L372_); trivial. % 1.09/1.23 apply (zenon_L825_); trivial. % 1.09/1.23 apply (zenon_L156_); trivial. % 1.09/1.23 (* end of lemma zenon_L826_ *) % 1.09/1.23 assert (zenon_L827_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H252 zenon_H23e zenon_H1da zenon_H184 zenon_H13 zenon_H251 zenon_H196 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H7f zenon_H61 zenon_H242 zenon_H243 zenon_H244 zenon_H276 zenon_H192 zenon_H158 zenon_H166 zenon_H174 zenon_H22e zenon_H173 zenon_H195 zenon_Hd zenon_H33 zenon_H2e zenon_H2b zenon_H216 zenon_H10b zenon_H116 zenon_H1dc zenon_H28f zenon_H2b2 zenon_H22a zenon_H36 zenon_H1a0 zenon_H209. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.23 apply (zenon_L334_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.23 apply (zenon_L342_); trivial. % 1.09/1.23 apply (zenon_L825_); trivial. % 1.09/1.23 apply (zenon_L369_); trivial. % 1.09/1.23 apply (zenon_L826_); trivial. % 1.09/1.23 (* end of lemma zenon_L827_ *) % 1.09/1.23 assert (zenon_L828_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1a0 zenon_H143 zenon_He8 zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H1f1 zenon_H16 zenon_H29d zenon_H29e zenon_H29f zenon_H47 zenon_H1c9. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.23 apply (zenon_L314_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.23 apply (zenon_L811_); trivial. % 1.09/1.23 apply (zenon_L820_); trivial. % 1.09/1.23 (* end of lemma zenon_L828_ *) % 1.09/1.23 assert (zenon_L829_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp8)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp5)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H2d zenon_H1f8 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H47 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_He3. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 1.09/1.23 apply (zenon_L415_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 1.09/1.23 apply (zenon_L774_); trivial. % 1.09/1.23 exact (zenon_He3 zenon_He4). % 1.09/1.23 (* end of lemma zenon_L829_ *) % 1.09/1.23 assert (zenon_L830_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H33 zenon_H1f8 zenon_He3 zenon_H300 zenon_H301 zenon_H302 zenon_H47 zenon_H1f1 zenon_H16 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.23 apply (zenon_L416_); trivial. % 1.09/1.23 apply (zenon_L829_); trivial. % 1.09/1.23 (* end of lemma zenon_L830_ *) % 1.09/1.23 assert (zenon_L831_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1a1 zenon_H61 zenon_H291 zenon_H4b zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_He8 zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H1fa zenon_H13 zenon_H11 zenon_H2b zenon_H2e zenon_H33 zenon_H36. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.23 apply (zenon_L792_); trivial. % 1.09/1.23 apply (zenon_L424_); trivial. % 1.09/1.23 (* end of lemma zenon_L831_ *) % 1.09/1.23 assert (zenon_L832_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1a0 zenon_He8 zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H1fa zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H11 zenon_H13 zenon_Hd zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H4b zenon_H291 zenon_H61. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.23 apply (zenon_L17_); trivial. % 1.09/1.23 apply (zenon_L424_); trivial. % 1.09/1.23 apply (zenon_L831_); trivial. % 1.09/1.23 (* end of lemma zenon_L832_ *) % 1.09/1.23 assert (zenon_L833_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a530)) -> (c2_1 (a530)) -> (~(c1_1 (a530))) -> (ndr1_0) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp27)) -> (~(hskp19)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H10b zenon_He5 zenon_H5b zenon_H1f8 zenon_He3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2b2 zenon_H223 zenon_H21c zenon_H21b zenon_H16 zenon_H272 zenon_H262 zenon_H261 zenon_H260 zenon_H4b zenon_H291 zenon_H102 zenon_H104 zenon_H106 zenon_Hbd. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.09/1.23 apply (zenon_L521_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H273 ]. % 1.09/1.23 apply (zenon_L223_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H4a | zenon_intro zenon_H8f ]. % 1.09/1.23 exact (zenon_H49 zenon_H4a). % 1.09/1.23 exact (zenon_H8e zenon_H8f). % 1.09/1.23 exact (zenon_H4b zenon_H4c). % 1.09/1.23 apply (zenon_L421_); trivial. % 1.09/1.23 apply (zenon_L800_); trivial. % 1.09/1.23 apply (zenon_L61_); trivial. % 1.09/1.23 (* end of lemma zenon_L833_ *) % 1.09/1.23 assert (zenon_L834_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H13f zenon_H33 zenon_H2e zenon_H2b zenon_H1a zenon_H19 zenon_H18 zenon_Hc3 zenon_Hc1 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_He5 zenon_H4b zenon_He3 zenon_H116 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_He8. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.09/1.23 apply (zenon_L48_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.09/1.23 apply (zenon_L75_); trivial. % 1.09/1.23 apply (zenon_L399_); trivial. % 1.09/1.23 apply (zenon_L15_); trivial. % 1.09/1.23 (* end of lemma zenon_L834_ *) % 1.09/1.23 assert (zenon_L835_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1a1 zenon_H143 zenon_He8 zenon_He3 zenon_He5 zenon_Hc1 zenon_Hc3 zenon_H20b zenon_H20c zenon_H20d zenon_H4b zenon_H218. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.23 apply (zenon_L163_); trivial. % 1.09/1.23 apply (zenon_L52_); trivial. % 1.09/1.23 (* end of lemma zenon_L835_ *) % 1.09/1.23 assert (zenon_L836_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (c3_1 (a568)) -> (c0_1 (a568)) -> (~(c1_1 (a568))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H116 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H10f zenon_H10e zenon_H10d zenon_H16 zenon_Hf. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H117 ]. % 1.09/1.23 apply (zenon_L150_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10c | zenon_intro zenon_H10 ]. % 1.09/1.23 apply (zenon_L63_); trivial. % 1.09/1.23 exact (zenon_Hf zenon_H10). % 1.09/1.23 (* end of lemma zenon_L836_ *) % 1.09/1.23 assert (zenon_L837_ : ((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H124 zenon_H33 zenon_H29b zenon_H299 zenon_H262 zenon_H261 zenon_H260 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H116. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H16. zenon_intro zenon_H125. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H10e. zenon_intro zenon_H126. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10f. zenon_intro zenon_H10d. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.23 apply (zenon_L836_); trivial. % 1.09/1.23 apply (zenon_L310_); trivial. % 1.09/1.23 (* end of lemma zenon_L837_ *) % 1.09/1.23 assert (zenon_L838_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1a0 zenon_H291 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_He8 zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H1fa zenon_H36 zenon_H33 zenon_H2e zenon_H2b zenon_H11 zenon_H13 zenon_Hd zenon_Hb7 zenon_H4b zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_H61. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.23 apply (zenon_L187_); trivial. % 1.09/1.23 apply (zenon_L831_); trivial. % 1.09/1.23 (* end of lemma zenon_L838_ *) % 1.09/1.23 assert (zenon_L839_ : ((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H124 zenon_H33 zenon_H29b zenon_H299 zenon_H262 zenon_H261 zenon_H260 zenon_Hc3 zenon_Hc1 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_H116. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H16. zenon_intro zenon_H125. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H10e. zenon_intro zenon_H126. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10f. zenon_intro zenon_H10d. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.23 apply (zenon_L64_); trivial. % 1.09/1.23 apply (zenon_L310_); trivial. % 1.09/1.23 (* end of lemma zenon_L839_ *) % 1.09/1.23 assert (zenon_L840_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a532)) -> (~(c2_1 (a532))) -> (~(c1_1 (a532))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(hskp19)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_Hbc zenon_H123 zenon_H33 zenon_H29b zenon_H299 zenon_H262 zenon_H261 zenon_H260 zenon_Hc3 zenon_Hc1 zenon_Hc5 zenon_Hc6 zenon_Hc7 zenon_H116 zenon_H90 zenon_H1 zenon_H104 zenon_H106 zenon_Hbd. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H102 | zenon_intro zenon_H124 ]. % 1.09/1.23 apply (zenon_L801_); trivial. % 1.09/1.23 apply (zenon_L839_); trivial. % 1.09/1.23 (* end of lemma zenon_L840_ *) % 1.09/1.23 assert (zenon_L841_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1fa zenon_H4b zenon_He3 zenon_He5 zenon_H262 zenon_H261 zenon_H260 zenon_H92 zenon_H16 zenon_H63 zenon_H64 zenon_H65. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.09/1.23 apply (zenon_L51_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.09/1.23 apply (zenon_L223_); trivial. % 1.09/1.23 apply (zenon_L27_); trivial. % 1.09/1.23 (* end of lemma zenon_L841_ *) % 1.09/1.23 assert (zenon_L842_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1a1 zenon_H291 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H260 zenon_H261 zenon_H262 zenon_He5 zenon_He3 zenon_H1fa zenon_H4b. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.09/1.23 apply (zenon_L415_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.09/1.23 apply (zenon_L841_); trivial. % 1.09/1.23 exact (zenon_H4b zenon_H4c). % 1.09/1.23 (* end of lemma zenon_L842_ *) % 1.09/1.23 assert (zenon_L843_ : ((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H124 zenon_H33 zenon_H2e zenon_H2b zenon_H1a zenon_H19 zenon_H18 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H116. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H16. zenon_intro zenon_H125. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H10e. zenon_intro zenon_H126. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H10f. zenon_intro zenon_H10d. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.23 apply (zenon_L836_); trivial. % 1.09/1.23 apply (zenon_L15_); trivial. % 1.09/1.23 (* end of lemma zenon_L843_ *) % 1.09/1.23 assert (zenon_L844_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(hskp19)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_Hbc zenon_H123 zenon_H33 zenon_H2e zenon_H2b zenon_H1a zenon_H19 zenon_H18 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H116 zenon_H90 zenon_H1 zenon_H104 zenon_H106 zenon_Hbd. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H102 | zenon_intro zenon_H124 ]. % 1.09/1.23 apply (zenon_L801_); trivial. % 1.09/1.23 apply (zenon_L843_); trivial. % 1.09/1.23 (* end of lemma zenon_L844_ *) % 1.09/1.23 assert (zenon_L845_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (~(hskp8)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_H27f zenon_H27e zenon_H27d zenon_H16 zenon_H92 zenon_H47. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.09/1.23 apply (zenon_L773_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.09/1.23 apply (zenon_L262_); trivial. % 1.09/1.23 exact (zenon_H47 zenon_H48). % 1.09/1.23 (* end of lemma zenon_L845_ *) % 1.09/1.23 assert (zenon_L846_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp4)) -> False). % 1.09/1.23 do 0 intro. intros zenon_H291 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H47 zenon_H16 zenon_H27d zenon_H27e zenon_H27f zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H4b. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.09/1.23 apply (zenon_L415_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.09/1.23 apply (zenon_L845_); trivial. % 1.09/1.23 exact (zenon_H4b zenon_H4c). % 1.09/1.23 (* end of lemma zenon_L846_ *) % 1.09/1.23 assert (zenon_L847_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> (ndr1_0) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H250 zenon_H23e zenon_H218 zenon_Hc3 zenon_H11b zenon_H23c zenon_H143 zenon_H16 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1f1 zenon_H27f zenon_H27e zenon_H27d zenon_H302 zenon_H301 zenon_H300 zenon_H4b zenon_H291. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.09/1.23 apply (zenon_L846_); trivial. % 1.09/1.23 apply (zenon_L296_); trivial. % 1.09/1.23 (* end of lemma zenon_L847_ *) % 1.09/1.23 assert (zenon_L848_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_H61 zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_H5c zenon_Hb7 zenon_Hd zenon_Hb zenon_H218 zenon_H4b zenon_H20d zenon_H20c zenon_H20b zenon_H291 zenon_Hc3 zenon_Hc1 zenon_H27d zenon_H27e zenon_H27f zenon_H116 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2b zenon_H2e zenon_H33 zenon_H143 zenon_H36. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.23 apply (zenon_L7_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.23 apply (zenon_L163_); trivial. % 1.09/1.23 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.09/1.23 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.09/1.23 apply (zenon_L415_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H117 ]. % 1.09/1.23 apply (zenon_L48_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10c | zenon_intro zenon_H10 ]. % 1.09/1.23 apply (zenon_L262_); trivial. % 1.09/1.23 exact (zenon_Hf zenon_H10). % 1.09/1.23 exact (zenon_H4b zenon_H4c). % 1.09/1.23 apply (zenon_L15_); trivial. % 1.09/1.23 apply (zenon_L186_); trivial. % 1.09/1.23 (* end of lemma zenon_L848_ *) % 1.09/1.23 assert (zenon_L849_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.09/1.23 do 0 intro. intros zenon_He7 zenon_H33 zenon_H29b zenon_H299 zenon_H262 zenon_H261 zenon_H260 zenon_Hc3 zenon_Hc1 zenon_H1da zenon_H2b zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H64 zenon_H63 zenon_H116 zenon_He8. % 1.09/1.23 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.09/1.23 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.09/1.23 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.09/1.23 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.23 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.09/1.23 apply (zenon_L48_); trivial. % 1.09/1.23 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.09/1.23 apply (zenon_L155_); trivial. % 1.09/1.23 apply (zenon_L399_); trivial. % 1.09/1.23 apply (zenon_L310_); trivial. % 1.09/1.23 (* end of lemma zenon_L849_ *) % 1.09/1.23 assert (zenon_L850_ : ((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H23f zenon_H33 zenon_H29b zenon_H299 zenon_H262 zenon_H261 zenon_H260 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H116 zenon_H27f zenon_H27e zenon_H27d zenon_H4b zenon_H291. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.09/1.24 apply (zenon_L415_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H117 ]. % 1.09/1.24 apply (zenon_L150_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10c | zenon_intro zenon_H10 ]. % 1.09/1.24 apply (zenon_L262_); trivial. % 1.09/1.24 exact (zenon_Hf zenon_H10). % 1.09/1.24 exact (zenon_H4b zenon_H4c). % 1.09/1.24 apply (zenon_L310_); trivial. % 1.09/1.24 (* end of lemma zenon_L850_ *) % 1.09/1.24 assert (zenon_L851_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (ndr1_0) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H33 zenon_Hb7 zenon_H2b zenon_H300 zenon_H301 zenon_H302 zenon_H47 zenon_H1f1 zenon_H244 zenon_H243 zenon_H242 zenon_H16 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.24 apply (zenon_L416_); trivial. % 1.09/1.24 apply (zenon_L790_); trivial. % 1.09/1.24 (* end of lemma zenon_L851_ *) % 1.09/1.24 assert (zenon_L852_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/((forall X92 : zenon_U, ((ndr1_0)->((~(c0_1 X92))\/((~(c2_1 X92))\/(~(c3_1 X92))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H252 zenon_H23e zenon_H1da zenon_H116 zenon_H184 zenon_H13 zenon_H251 zenon_H196 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H7f zenon_H61 zenon_H1dc zenon_H242 zenon_H243 zenon_H244 zenon_H276 zenon_H192 zenon_H158 zenon_H166 zenon_H174 zenon_H2b2 zenon_H28f zenon_H22e zenon_H10b zenon_H173 zenon_H195 zenon_Hd zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H2b zenon_H2e zenon_H33 zenon_H36 zenon_H1a0 zenon_H209. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.24 apply (zenon_L334_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.24 apply (zenon_L418_); trivial. % 1.09/1.24 apply (zenon_L825_); trivial. % 1.09/1.24 apply (zenon_L432_); trivial. % 1.09/1.24 apply (zenon_L826_); trivial. % 1.09/1.24 (* end of lemma zenon_L852_ *) % 1.09/1.24 assert (zenon_L853_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H2d zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_Hb zenon_H57 zenon_H47. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.09/1.24 apply (zenon_L773_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H38 | zenon_intro zenon_H5a ]. % 1.09/1.24 apply (zenon_L139_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_Hc | zenon_intro zenon_H48 ]. % 1.09/1.24 exact (zenon_Hb zenon_Hc). % 1.09/1.24 exact (zenon_H47 zenon_H48). % 1.09/1.24 exact (zenon_H47 zenon_H48). % 1.09/1.24 (* end of lemma zenon_L853_ *) % 1.09/1.24 assert (zenon_L854_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H61 zenon_H195 zenon_H7f zenon_H7c zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H174 zenon_H24b zenon_H1d6 zenon_H5b zenon_H13 zenon_H11 zenon_H300 zenon_H301 zenon_H302 zenon_H57 zenon_H47 zenon_Hb zenon_H1f1 zenon_H33. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.24 apply (zenon_L10_); trivial. % 1.09/1.24 apply (zenon_L853_); trivial. % 1.09/1.24 apply (zenon_L499_); trivial. % 1.09/1.24 (* end of lemma zenon_L854_ *) % 1.09/1.24 assert (zenon_L855_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (~(hskp8)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp3)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H2d zenon_H24b zenon_H14c zenon_H14b zenon_H14a zenon_H47 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H1d6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H24c ]. % 1.09/1.24 apply (zenon_L79_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H38 | zenon_intro zenon_H1d7 ]. % 1.09/1.24 apply (zenon_L774_); trivial. % 1.09/1.24 exact (zenon_H1d6 zenon_H1d7). % 1.09/1.24 (* end of lemma zenon_L855_ *) % 1.09/1.24 assert (zenon_L856_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H24d zenon_H61 zenon_H195 zenon_H173 zenon_H166 zenon_H158 zenon_H174 zenon_H184 zenon_H192 zenon_H13 zenon_H11 zenon_H1f1 zenon_H47 zenon_H302 zenon_H301 zenon_H300 zenon_H1d6 zenon_H24b zenon_H33. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.24 apply (zenon_L10_); trivial. % 1.09/1.24 apply (zenon_L855_); trivial. % 1.09/1.24 apply (zenon_L94_); trivial. % 1.09/1.24 (* end of lemma zenon_L856_ *) % 1.09/1.24 assert (zenon_L857_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp6)) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H23e zenon_H251 zenon_H173 zenon_H166 zenon_H158 zenon_H184 zenon_H192 zenon_H61 zenon_H195 zenon_H7f zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H174 zenon_H24b zenon_H1d6 zenon_H5b zenon_H13 zenon_H300 zenon_H301 zenon_H302 zenon_H57 zenon_H47 zenon_H1f1 zenon_H33 zenon_H146 zenon_H143 zenon_He8 zenon_He5 zenon_Ha4 zenon_He3 zenon_H1f8 zenon_H3 zenon_H7 zenon_H144 zenon_Hc3 zenon_H1c3 zenon_H1fa zenon_H1fc zenon_H1a0 zenon_H1e2 zenon_H123 zenon_Hf1 zenon_H106 zenon_H10b zenon_H1c9 zenon_H209. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.24 apply (zenon_L854_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.24 apply (zenon_L777_); trivial. % 1.09/1.24 apply (zenon_L492_); trivial. % 1.09/1.24 apply (zenon_L856_); trivial. % 1.09/1.24 apply (zenon_L789_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.24 apply (zenon_L854_); trivial. % 1.09/1.24 apply (zenon_L151_); trivial. % 1.09/1.24 apply (zenon_L856_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.24 apply (zenon_L785_); trivial. % 1.09/1.24 apply (zenon_L151_); trivial. % 1.09/1.24 (* end of lemma zenon_L857_ *) % 1.09/1.24 assert (zenon_L858_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp21)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hb6 zenon_H28f zenon_H168 zenon_H260 zenon_H261 zenon_H262 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H1cc zenon_H1cb zenon_H1ca. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.09/1.24 apply (zenon_L668_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.09/1.24 apply (zenon_L123_); trivial. % 1.09/1.24 apply (zenon_L99_); trivial. % 1.09/1.24 (* end of lemma zenon_L858_ *) % 1.09/1.24 assert (zenon_L859_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hbc zenon_Hbd zenon_H28f zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H260 zenon_H261 zenon_H262 zenon_H168 zenon_H174 zenon_H1 zenon_H90. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 1.09/1.24 apply (zenon_L37_); trivial. % 1.09/1.24 apply (zenon_L858_); trivial. % 1.09/1.24 (* end of lemma zenon_L859_ *) % 1.09/1.24 assert (zenon_L860_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H191 zenon_H5b zenon_H57 zenon_H47 zenon_Hb zenon_H4b zenon_H5c. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.09/1.24 apply (zenon_L196_); trivial. % 1.09/1.24 apply (zenon_L23_); trivial. % 1.09/1.24 (* end of lemma zenon_L860_ *) % 1.09/1.24 assert (zenon_L861_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H4b zenon_H5c zenon_H83 zenon_Hbd zenon_H28f zenon_H272 zenon_Ha4 zenon_Ha2 zenon_H262 zenon_H261 zenon_H260 zenon_H18 zenon_H19 zenon_H1a zenon_Hc1 zenon_H1c4 zenon_Hb zenon_H57 zenon_H5b zenon_H300 zenon_H301 zenon_H302 zenon_H70 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1 zenon_H90 zenon_H1 zenon_H174 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_Hc0. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.09/1.24 apply (zenon_L799_); trivial. % 1.09/1.24 apply (zenon_L859_); trivial. % 1.09/1.24 apply (zenon_L860_); trivial. % 1.09/1.24 (* end of lemma zenon_L861_ *) % 1.09/1.24 assert (zenon_L862_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H36 zenon_H143 zenon_H10b zenon_H106 zenon_Hf1 zenon_H123 zenon_H144 zenon_H1c9 zenon_H47 zenon_He3 zenon_H4b zenon_He5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_Hc0 zenon_H174 zenon_H90 zenon_H1f1 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H302 zenon_H301 zenon_H300 zenon_H5b zenon_H57 zenon_H1c4 zenon_Hc1 zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H272 zenon_H28f zenon_Hbd zenon_H83 zenon_H5c zenon_H195 zenon_H1fc zenon_H1 zenon_Hb zenon_Hd. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.24 apply (zenon_L7_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.24 apply (zenon_L477_); trivial. % 1.09/1.24 apply (zenon_L861_); trivial. % 1.09/1.24 apply (zenon_L784_); trivial. % 1.09/1.24 (* end of lemma zenon_L862_ *) % 1.09/1.24 assert (zenon_L863_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp8)) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp5)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp4)) -> (~(hskp31)) -> (ndr1_0) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp21)) -> False). % 1.09/1.24 do 0 intro. intros zenon_He8 zenon_H47 zenon_Hc7 zenon_Hc5 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_He3 zenon_H134 zenon_H135 zenon_He5 zenon_H174 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H4b zenon_H49 zenon_H16 zenon_H3b zenon_H3a zenon_H39 zenon_H5c zenon_H168. % 1.09/1.24 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.09/1.24 apply (zenon_L775_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.09/1.24 apply (zenon_L75_); trivial. % 1.09/1.24 apply (zenon_L504_); trivial. % 1.09/1.24 (* end of lemma zenon_L863_ *) % 1.09/1.24 assert (zenon_L864_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp8)) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp4)) -> (~(hskp5)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp3)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H56 zenon_He8 zenon_H47 zenon_Hc7 zenon_Hc5 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H4b zenon_He3 zenon_H134 zenon_H135 zenon_He5 zenon_H24b zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1d6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.09/1.24 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.09/1.24 apply (zenon_L775_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.09/1.24 apply (zenon_L75_); trivial. % 1.09/1.24 apply (zenon_L306_); trivial. % 1.09/1.24 (* end of lemma zenon_L864_ *) % 1.09/1.24 assert (zenon_L865_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H5e zenon_H143 zenon_H144 zenon_H195 zenon_H11d zenon_H11b zenon_He8 zenon_H5c zenon_H174 zenon_H24b zenon_H1d6 zenon_H5b zenon_H10b zenon_He5 zenon_H4b zenon_He3 zenon_H106 zenon_Hf1 zenon_H123 zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.24 apply (zenon_L786_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.24 apply (zenon_L783_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.09/1.24 apply (zenon_L863_); trivial. % 1.09/1.24 apply (zenon_L864_); trivial. % 1.09/1.24 apply (zenon_L365_); trivial. % 1.09/1.24 (* end of lemma zenon_L865_ *) % 1.09/1.24 assert (zenon_L866_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp17)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H13f zenon_H1fa zenon_H4b zenon_He3 zenon_He5 zenon_H47 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H262 zenon_H261 zenon_H260 zenon_Ha2 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H63 zenon_H64 zenon_H65. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.09/1.24 apply (zenon_L75_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.09/1.24 apply (zenon_L803_); trivial. % 1.09/1.24 apply (zenon_L27_); trivial. % 1.09/1.24 (* end of lemma zenon_L866_ *) % 1.09/1.24 assert (zenon_L867_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H1a1 zenon_H143 zenon_He8 zenon_H144 zenon_H1fa zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H262 zenon_H261 zenon_H260 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1 zenon_He3 zenon_H4b zenon_He5 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fc. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.24 apply (zenon_L476_); trivial. % 1.09/1.24 apply (zenon_L866_); trivial. % 1.09/1.24 apply (zenon_L148_); trivial. % 1.09/1.24 apply (zenon_L776_); trivial. % 1.09/1.24 (* end of lemma zenon_L867_ *) % 1.09/1.24 assert (zenon_L868_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H251 zenon_H192 zenon_H184 zenon_H300 zenon_H301 zenon_H302 zenon_H166 zenon_H47 zenon_H1f1 zenon_H7f zenon_H11 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H260 zenon_H261 zenon_H262 zenon_H174 zenon_H5c zenon_H4b zenon_H24b zenon_H1d6 zenon_H5b zenon_H195. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.09/1.24 apply (zenon_L670_); trivial. % 1.09/1.24 apply (zenon_L795_); trivial. % 1.09/1.24 (* end of lemma zenon_L868_ *) % 1.09/1.24 assert (zenon_L869_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp21)) -> (~(c3_1 (a558))) -> (~(c0_1 (a558))) -> (c2_1 (a558)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp4)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H291 zenon_H168 zenon_H86 zenon_H85 zenon_H87 zenon_H72 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H47 zenon_H16 zenon_H27d zenon_H27e zenon_H27f zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H4b. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.09/1.24 apply (zenon_L545_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.09/1.24 apply (zenon_L845_); trivial. % 1.09/1.24 exact (zenon_H4b zenon_H4c). % 1.09/1.24 (* end of lemma zenon_L869_ *) % 1.09/1.24 assert (zenon_L870_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H1a1 zenon_H195 zenon_H5b zenon_H1d6 zenon_H24b zenon_H5c zenon_H83 zenon_H7f zenon_H7c zenon_H11 zenon_H70 zenon_H291 zenon_H4b zenon_H300 zenon_H301 zenon_H302 zenon_H27d zenon_H27e zenon_H27f zenon_H47 zenon_H1f1 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_Hc0. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.09/1.24 apply (zenon_L34_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 1.09/1.24 apply (zenon_L869_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 1.09/1.24 exact (zenon_H11 zenon_H12). % 1.09/1.24 exact (zenon_H7c zenon_H7d). % 1.09/1.24 apply (zenon_L498_); trivial. % 1.09/1.24 (* end of lemma zenon_L870_ *) % 1.09/1.24 assert (zenon_L871_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (c2_1 (a558)) -> (~(c0_1 (a558))) -> (~(c3_1 (a558))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp4)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H291 zenon_H87 zenon_H85 zenon_H86 zenon_H153 zenon_H47 zenon_H16 zenon_H27d zenon_H27e zenon_H27f zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H4b. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.09/1.24 apply (zenon_L544_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.09/1.24 apply (zenon_L845_); trivial. % 1.09/1.24 exact (zenon_H4b zenon_H4c). % 1.09/1.24 (* end of lemma zenon_L871_ *) % 1.09/1.24 assert (zenon_L872_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp8)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp4)) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hbc zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H174 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H168 zenon_H291 zenon_H47 zenon_H27d zenon_H27e zenon_H27f zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H4b. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.09/1.24 apply (zenon_L184_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.09/1.24 apply (zenon_L869_); trivial. % 1.09/1.24 apply (zenon_L871_); trivial. % 1.09/1.24 (* end of lemma zenon_L872_ *) % 1.09/1.24 assert (zenon_L873_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H1a1 zenon_H195 zenon_H5b zenon_H1d6 zenon_H24b zenon_H5c zenon_H83 zenon_H7f zenon_H7c zenon_H11 zenon_H70 zenon_H242 zenon_H243 zenon_H244 zenon_H291 zenon_H4b zenon_H300 zenon_H301 zenon_H302 zenon_H27d zenon_H27e zenon_H27f zenon_H47 zenon_H1f1 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H276 zenon_Hc0. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.09/1.24 apply (zenon_L34_); trivial. % 1.09/1.24 apply (zenon_L872_); trivial. % 1.09/1.24 apply (zenon_L498_); trivial. % 1.09/1.24 (* end of lemma zenon_L873_ *) % 1.09/1.24 assert (zenon_L874_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H251 zenon_H173 zenon_H166 zenon_H158 zenon_H184 zenon_H192 zenon_H61 zenon_H195 zenon_H7f zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H174 zenon_H24b zenon_H1d6 zenon_H5b zenon_H13 zenon_H11 zenon_H300 zenon_H301 zenon_H302 zenon_H57 zenon_H47 zenon_H1f1 zenon_H33 zenon_Hc0 zenon_H276 zenon_H27f zenon_H27e zenon_H27d zenon_H291 zenon_H244 zenon_H243 zenon_H242 zenon_H70 zenon_H83 zenon_H1a0. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.24 apply (zenon_L854_); trivial. % 1.09/1.24 apply (zenon_L873_); trivial. % 1.09/1.24 apply (zenon_L856_); trivial. % 1.09/1.24 (* end of lemma zenon_L874_ *) % 1.09/1.24 assert (zenon_L875_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a559))) -> (~(c2_1 (a559))) -> (~(c0_1 (a559))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> (~(hskp6)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H108 zenon_H1dc zenon_H75 zenon_H74 zenon_H73 zenon_H198 zenon_H135 zenon_H134 zenon_H142 zenon_H1d6 zenon_H1 zenon_H1d8 zenon_H3. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.24 apply (zenon_L31_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.24 apply (zenon_L127_); trivial. % 1.09/1.24 apply (zenon_L641_); trivial. % 1.09/1.24 (* end of lemma zenon_L875_ *) % 1.09/1.24 assert (zenon_L876_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> (c3_1 (a532)) -> (~(c1_1 (a532))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H83 zenon_H10b zenon_H1dc zenon_H142 zenon_H134 zenon_H135 zenon_H3 zenon_H198 zenon_H1 zenon_H1d6 zenon_H1d8 zenon_Hc5 zenon_Hc7 zenon_Hf1 zenon_H16 zenon_H300 zenon_H301 zenon_H302 zenon_H70 zenon_H6c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.09/1.24 apply (zenon_L796_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.09/1.24 apply (zenon_L781_); trivial. % 1.09/1.24 apply (zenon_L875_); trivial. % 1.09/1.24 (* end of lemma zenon_L876_ *) % 1.09/1.24 assert (zenon_L877_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (ndr1_0) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hc0 zenon_H276 zenon_H174 zenon_H168 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H27f zenon_H27e zenon_H27d zenon_H4b zenon_H291 zenon_H244 zenon_H243 zenon_H242 zenon_H1f1 zenon_H47 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H302 zenon_H301 zenon_H300 zenon_H16 zenon_Hf1 zenon_Hc7 zenon_Hc5 zenon_H1d8 zenon_H1d6 zenon_H1 zenon_H198 zenon_H3 zenon_H135 zenon_H134 zenon_H142 zenon_H1dc zenon_H10b zenon_H83. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.09/1.24 apply (zenon_L876_); trivial. % 1.09/1.24 apply (zenon_L872_); trivial. % 1.09/1.24 (* end of lemma zenon_L877_ *) % 1.09/1.24 assert (zenon_L878_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a532)) -> (~(c1_1 (a532))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H7e zenon_H10b zenon_H28f zenon_H3 zenon_H198 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H1f1 zenon_H47 zenon_Hc5 zenon_Hc7 zenon_H302 zenon_H301 zenon_H300 zenon_Hf1. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.09/1.24 apply (zenon_L781_); trivial. % 1.09/1.24 apply (zenon_L540_); trivial. % 1.09/1.24 (* end of lemma zenon_L878_ *) % 1.09/1.24 assert (zenon_L879_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (c3_1 (a532)) -> (~(c1_1 (a532))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H83 zenon_H10b zenon_H28f zenon_H3 zenon_H198 zenon_H1cc zenon_H1cb zenon_H1ca zenon_Hc5 zenon_Hc7 zenon_Hf1 zenon_H16 zenon_H300 zenon_H301 zenon_H302 zenon_H70 zenon_H6c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.09/1.24 apply (zenon_L796_); trivial. % 1.09/1.24 apply (zenon_L878_); trivial. % 1.09/1.24 (* end of lemma zenon_L879_ *) % 1.09/1.24 assert (zenon_L880_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(hskp8)) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp26)) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp28)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H116 zenon_H47 zenon_Hc7 zenon_Hc5 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H6e zenon_H6c zenon_H16 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_Hf. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H117 ]. % 1.09/1.24 apply (zenon_L775_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10c | zenon_intro zenon_H10 ]. % 1.09/1.24 apply (zenon_L243_); trivial. % 1.09/1.24 exact (zenon_Hf zenon_H10). % 1.09/1.24 (* end of lemma zenon_L880_ *) % 1.09/1.24 assert (zenon_L881_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c0_1 (a500)) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_H22 zenon_H24 zenon_H23 zenon_Hf3 zenon_H16 zenon_H47. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.09/1.24 apply (zenon_L773_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.09/1.24 apply (zenon_L512_); trivial. % 1.09/1.24 exact (zenon_H47 zenon_H48). % 1.09/1.24 (* end of lemma zenon_L881_ *) % 1.09/1.24 assert (zenon_L882_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp3)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c0_1 (a500)) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (~(hskp8)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H56 zenon_H28f zenon_H1d6 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H24b zenon_H1cc zenon_H1cb zenon_H1ca zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_H22 zenon_H24 zenon_H23 zenon_H47. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.09/1.24 apply (zenon_L496_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.09/1.24 apply (zenon_L123_); trivial. % 1.09/1.24 apply (zenon_L881_); trivial. % 1.09/1.24 (* end of lemma zenon_L882_ *) % 1.09/1.24 assert (zenon_L883_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c1_1 (a538))) -> (~(c3_1 (a538))) -> (c0_1 (a538)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H2d zenon_H5b zenon_H28f zenon_H300 zenon_H301 zenon_H302 zenon_H47 zenon_H1f1 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1d6 zenon_H24b zenon_H188 zenon_H189 zenon_H18a zenon_H4b zenon_H5c. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.09/1.24 apply (zenon_L196_); trivial. % 1.09/1.24 apply (zenon_L882_); trivial. % 1.09/1.24 (* end of lemma zenon_L883_ *) % 1.09/1.24 assert (zenon_L884_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(hskp3)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (c2_1 (a558)) -> (~(c0_1 (a558))) -> (~(c3_1 (a558))) -> (~(hskp8)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp4)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H56 zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H1d6 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H24b zenon_H291 zenon_H87 zenon_H85 zenon_H86 zenon_H47 zenon_H27d zenon_H27e zenon_H27f zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H4b. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.09/1.24 apply (zenon_L184_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.09/1.24 apply (zenon_L496_); trivial. % 1.09/1.24 apply (zenon_L871_); trivial. % 1.09/1.24 (* end of lemma zenon_L884_ *) % 1.09/1.24 assert (zenon_L885_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c1_1 (a538))) -> (~(c3_1 (a538))) -> (c0_1 (a538)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hbc zenon_H5b zenon_H276 zenon_H1f1 zenon_H47 zenon_H27f zenon_H27e zenon_H27d zenon_H302 zenon_H301 zenon_H300 zenon_H291 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1d6 zenon_H24b zenon_H244 zenon_H243 zenon_H242 zenon_H188 zenon_H189 zenon_H18a zenon_H4b zenon_H5c. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.09/1.24 apply (zenon_L196_); trivial. % 1.09/1.24 apply (zenon_L884_); trivial. % 1.09/1.24 (* end of lemma zenon_L885_ *) % 1.09/1.24 assert (zenon_L886_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a532)) -> (~(c1_1 (a532))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H191 zenon_Hc0 zenon_H276 zenon_H27f zenon_H27e zenon_H27d zenon_H291 zenon_H244 zenon_H243 zenon_H242 zenon_H33 zenon_H5b zenon_H28f zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1d6 zenon_H24b zenon_H4b zenon_H5c zenon_H1f1 zenon_H47 zenon_Hc5 zenon_Hc7 zenon_H302 zenon_H301 zenon_H300 zenon_H70 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H116 zenon_Hf1 zenon_H198 zenon_H3 zenon_H10b zenon_H83. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.24 apply (zenon_L880_); trivial. % 1.09/1.24 apply (zenon_L883_); trivial. % 1.09/1.24 apply (zenon_L878_); trivial. % 1.09/1.24 apply (zenon_L885_); trivial. % 1.09/1.24 (* end of lemma zenon_L886_ *) % 1.09/1.24 assert (zenon_L887_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c3_1 (a532)) -> (~(c1_1 (a532))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H33 zenon_H5b zenon_H1d6 zenon_H24b zenon_H5c zenon_H116 zenon_H83 zenon_H10b zenon_H28f zenon_H3 zenon_H198 zenon_Hc5 zenon_Hc7 zenon_Hf1 zenon_H300 zenon_H301 zenon_H302 zenon_H70 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1 zenon_H242 zenon_H243 zenon_H244 zenon_H291 zenon_H4b zenon_H27d zenon_H27e zenon_H27f zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H276 zenon_Hc0. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.09/1.24 apply (zenon_L879_); trivial. % 1.09/1.24 apply (zenon_L872_); trivial. % 1.09/1.24 apply (zenon_L886_); trivial. % 1.09/1.24 (* end of lemma zenon_L887_ *) % 1.09/1.24 assert (zenon_L888_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H61 zenon_H1f1 zenon_H47 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H27d zenon_H27e zenon_H27f zenon_Ha4 zenon_H302 zenon_H301 zenon_H300 zenon_H16 zenon_H144 zenon_H195 zenon_H5b zenon_H57 zenon_Hb zenon_H5c zenon_H83 zenon_H10b zenon_H1dc zenon_H3 zenon_H198 zenon_H1d6 zenon_H1d8 zenon_Hf1 zenon_H70 zenon_H242 zenon_H243 zenon_H244 zenon_H291 zenon_H4b zenon_H174 zenon_H276 zenon_Hc0 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H28f zenon_H116 zenon_H24b zenon_H33 zenon_H1fc zenon_H143. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.24 apply (zenon_L814_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.24 apply (zenon_L476_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.24 apply (zenon_L877_); trivial. % 1.09/1.24 apply (zenon_L860_); trivial. % 1.09/1.24 apply (zenon_L887_); trivial. % 1.09/1.24 apply (zenon_L25_); trivial. % 1.09/1.24 (* end of lemma zenon_L888_ *) % 1.09/1.24 assert (zenon_L889_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> (c0_1 (a554)) -> (~(c3_1 (a554))) -> (~(c2_1 (a554))) -> (~(hskp22)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H7e zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H166 zenon_H39 zenon_H3a zenon_H3b zenon_H16c zenon_H16b zenon_H16a zenon_H164. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.09/1.24 apply (zenon_L184_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.09/1.24 apply (zenon_L31_); trivial. % 1.09/1.24 apply (zenon_L87_); trivial. % 1.09/1.24 (* end of lemma zenon_L889_ *) % 1.09/1.24 assert (zenon_L890_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c3_1 (a559))) -> (~(c2_1 (a559))) -> (~(c0_1 (a559))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp4)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H75 zenon_H74 zenon_H73 zenon_H5c zenon_H39 zenon_H3a zenon_H3b zenon_H16 zenon_H49 zenon_H4b. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.09/1.24 apply (zenon_L184_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.09/1.24 apply (zenon_L31_); trivial. % 1.09/1.24 apply (zenon_L194_); trivial. % 1.09/1.24 (* end of lemma zenon_L890_ *) % 1.09/1.24 assert (zenon_L891_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c0_1 (a540))) -> (c1_1 (a540)) -> (c3_1 (a540)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H83 zenon_H5b zenon_He8 zenon_H1d6 zenon_H24b zenon_H17a zenon_H17b zenon_H17c zenon_H63 zenon_H64 zenon_H9 zenon_H22e zenon_Hc7 zenon_Hc5 zenon_H242 zenon_H243 zenon_H244 zenon_H5c zenon_H4b zenon_H39 zenon_H3a zenon_H3b zenon_H276 zenon_H16 zenon_H300 zenon_H301 zenon_H302 zenon_H70 zenon_H6c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.09/1.24 apply (zenon_L796_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.09/1.24 apply (zenon_L890_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.09/1.24 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.09/1.24 apply (zenon_L775_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.09/1.24 apply (zenon_L222_); trivial. % 1.09/1.24 apply (zenon_L306_); trivial. % 1.09/1.24 (* end of lemma zenon_L891_ *) % 1.09/1.24 assert (zenon_L892_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hbc zenon_H5b zenon_H1f1 zenon_H47 zenon_H27f zenon_H27e zenon_H27d zenon_H302 zenon_H301 zenon_H300 zenon_H291 zenon_H1d6 zenon_H24b zenon_H242 zenon_H243 zenon_H244 zenon_H174 zenon_H168 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H276. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.09/1.24 apply (zenon_L630_); trivial. % 1.09/1.24 apply (zenon_L884_); trivial. % 1.09/1.24 (* end of lemma zenon_L892_ *) % 1.09/1.24 assert (zenon_L893_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp21)) -> (~(c3_1 (a558))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a558))) -> (c2_1 (a558)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c1_1 (a541)) -> (c0_1 (a541)) -> (~(c2_1 (a541))) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H198 zenon_H168 zenon_H86 zenon_H1de zenon_H85 zenon_H87 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H129 zenon_H128 zenon_H127 zenon_H16 zenon_H3. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 1.09/1.24 apply (zenon_L545_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 1.09/1.24 apply (zenon_L71_); trivial. % 1.09/1.24 exact (zenon_H3 zenon_H4). % 1.09/1.24 (* end of lemma zenon_L893_ *) % 1.09/1.24 assert (zenon_L894_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp6)) -> (~(c2_1 (a541))) -> (c0_1 (a541)) -> (c1_1 (a541)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp21)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp4)) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hbc zenon_H291 zenon_H3 zenon_H127 zenon_H128 zenon_H129 zenon_H174 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H168 zenon_H198 zenon_H47 zenon_H27d zenon_H27e zenon_H27f zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H4b. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.09/1.24 apply (zenon_L893_); trivial. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.09/1.24 apply (zenon_L845_); trivial. % 1.09/1.24 exact (zenon_H4b zenon_H4c). % 1.09/1.24 (* end of lemma zenon_L894_ *) % 1.09/1.24 assert (zenon_L895_ : ((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H130 zenon_Hc0 zenon_H291 zenon_H4b zenon_H300 zenon_H301 zenon_H302 zenon_H27d zenon_H27e zenon_H27f zenon_H47 zenon_H1f1 zenon_H174 zenon_H168 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H3 zenon_H198 zenon_H83. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.09/1.24 apply (zenon_L602_); trivial. % 1.09/1.24 apply (zenon_L894_); trivial. % 1.09/1.24 (* end of lemma zenon_L895_ *) % 1.09/1.24 assert (zenon_L896_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H2d zenon_H5b zenon_H28f zenon_H300 zenon_H301 zenon_H302 zenon_H47 zenon_H1f1 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H1d6 zenon_H24b zenon_H242 zenon_H243 zenon_H244 zenon_H174 zenon_H168 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H276. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.09/1.24 apply (zenon_L630_); trivial. % 1.09/1.24 apply (zenon_L882_); trivial. % 1.09/1.24 (* end of lemma zenon_L896_ *) % 1.09/1.24 assert (zenon_L897_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H83 zenon_H10b zenon_H3 zenon_H198 zenon_Hf1 zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H300 zenon_H301 zenon_H302 zenon_Hc7 zenon_Hc5 zenon_H47 zenon_H1f1 zenon_H276 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H39 zenon_H3a zenon_H3b zenon_H174 zenon_H244 zenon_H243 zenon_H242 zenon_H24b zenon_H1d6 zenon_H28f zenon_H5b zenon_H33 zenon_H291 zenon_H27d zenon_H27e zenon_H27f zenon_Hc0. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.24 apply (zenon_L880_); trivial. % 1.09/1.24 apply (zenon_L896_); trivial. % 1.09/1.24 apply (zenon_L878_); trivial. % 1.09/1.24 apply (zenon_L892_); trivial. % 1.09/1.24 apply (zenon_L886_); trivial. % 1.09/1.24 (* end of lemma zenon_L897_ *) % 1.09/1.24 assert (zenon_L898_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H32 zenon_H143 zenon_H1fc zenon_H10b zenon_Hf1 zenon_H116 zenon_H28f zenon_H33 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H145 zenon_Hc0 zenon_H291 zenon_H4b zenon_H27d zenon_H27e zenon_H27f zenon_H174 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H3 zenon_H198 zenon_H83 zenon_H242 zenon_H243 zenon_H244 zenon_H121 zenon_H1dc zenon_H276 zenon_H173 zenon_H166 zenon_H158 zenon_H28d zenon_H5c zenon_H24b zenon_H1d6 zenon_H5b zenon_H192 zenon_H195 zenon_H144 zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H3a zenon_H39 zenon_H3b zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.24 apply (zenon_L786_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.09/1.24 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.24 apply (zenon_L476_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.09/1.24 apply (zenon_L582_); trivial. % 1.09/1.24 apply (zenon_L895_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.09/1.24 apply (zenon_L357_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.09/1.24 apply (zenon_L527_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H16. zenon_intro zenon_H131. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H128. zenon_intro zenon_H132. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H129. zenon_intro zenon_H127. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.09/1.24 apply (zenon_L635_); trivial. % 1.09/1.24 apply (zenon_L885_); trivial. % 1.09/1.24 apply (zenon_L897_); trivial. % 1.09/1.24 (* end of lemma zenon_L898_ *) % 1.09/1.24 assert (zenon_L899_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H209 zenon_H143 zenon_H23c zenon_H11b zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H195 zenon_H5b zenon_H1d6 zenon_H24b zenon_H4b zenon_H5c zenon_H174 zenon_H262 zenon_H261 zenon_H260 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_H7f zenon_H1f1 zenon_H47 zenon_H166 zenon_H302 zenon_H301 zenon_H300 zenon_H184 zenon_H192 zenon_H251. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.24 apply (zenon_L868_); trivial. % 1.09/1.24 apply (zenon_L815_); trivial. % 1.09/1.24 (* end of lemma zenon_L899_ *) % 1.09/1.24 assert (zenon_L900_ : ((ndr1_0)/\((c0_1 (a499))/\((c2_1 (a499))/\(~(c1_1 (a499)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H2bf zenon_H278 zenon_H250 zenon_H23c zenon_H22e zenon_H2b2 zenon_H28f zenon_H10b zenon_H36 zenon_H209 zenon_H1a0 zenon_H143 zenon_He8 zenon_Hc3 zenon_H144 zenon_H1dc zenon_H198 zenon_Ha4 zenon_H1f1 zenon_H1c3 zenon_H1fa zenon_H1fc zenon_H1c9 zenon_H7f zenon_H29d zenon_H29e zenon_H29f zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H196 zenon_H251 zenon_H23e zenon_H300 zenon_H301 zenon_H302 zenon_H276 zenon_H121 zenon_H145 zenon_Hd zenon_H192 zenon_H158 zenon_H166 zenon_H174 zenon_H173 zenon_H195 zenon_H61 zenon_H22a zenon_H13 zenon_H216 zenon_H33 zenon_H184 zenon_H279. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.09/1.25 apply (zenon_L749_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.09/1.25 apply (zenon_L828_); trivial. % 1.09/1.25 apply (zenon_L740_); trivial. % 1.09/1.25 apply (zenon_L413_); trivial. % 1.09/1.25 (* end of lemma zenon_L900_ *) % 1.09/1.25 assert (zenon_L901_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H191 zenon_H5b zenon_H1f8 zenon_He3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H4b zenon_H5c. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.09/1.25 apply (zenon_L196_); trivial. % 1.09/1.25 apply (zenon_L421_); trivial. % 1.09/1.25 (* end of lemma zenon_L901_ *) % 1.09/1.25 assert (zenon_L902_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H24d zenon_H195 zenon_H5b zenon_H1f8 zenon_He3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H4b zenon_H5c zenon_H260 zenon_H261 zenon_H262 zenon_H174. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.25 apply (zenon_L233_); trivial. % 1.09/1.25 apply (zenon_L901_); trivial. % 1.09/1.25 (* end of lemma zenon_L902_ *) % 1.09/1.25 assert (zenon_L903_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H251 zenon_H5b zenon_H1f8 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H4b zenon_H5c zenon_H7f zenon_H11 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H260 zenon_H261 zenon_H262 zenon_H174 zenon_He3 zenon_H11b zenon_H11d zenon_H195. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.25 apply (zenon_L669_); trivial. % 1.09/1.25 apply (zenon_L365_); trivial. % 1.09/1.25 apply (zenon_L902_); trivial. % 1.09/1.25 (* end of lemma zenon_L903_ *) % 1.09/1.25 assert (zenon_L904_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp21)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c0_1 (a505))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a530)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (~(c1_1 (a530))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H28f zenon_H168 zenon_H260 zenon_H261 zenon_H262 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H20b zenon_H2b2 zenon_H223 zenon_Hc4 zenon_H21b zenon_H20d zenon_H20c zenon_H16 zenon_Hef. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.09/1.25 apply (zenon_L668_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.09/1.25 apply (zenon_L172_); trivial. % 1.09/1.25 apply (zenon_L727_); trivial. % 1.09/1.25 (* end of lemma zenon_L904_ *) % 1.09/1.25 assert (zenon_L905_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1dc zenon_Hc1 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c4 zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.25 apply (zenon_L528_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.25 apply (zenon_L57_); trivial. % 1.09/1.25 apply (zenon_L12_); trivial. % 1.09/1.25 (* end of lemma zenon_L905_ *) % 1.09/1.25 assert (zenon_L906_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp4)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H108 zenon_H291 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1a zenon_H19 zenon_H18 zenon_H1c4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_Hc1 zenon_H1dc zenon_H260 zenon_H261 zenon_H262 zenon_H28f zenon_H4b. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.09/1.25 apply (zenon_L415_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.09/1.25 apply (zenon_L528_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.09/1.25 apply (zenon_L223_); trivial. % 1.09/1.25 apply (zenon_L905_); trivial. % 1.09/1.25 exact (zenon_H4b zenon_H4c). % 1.09/1.25 (* end of lemma zenon_L906_ *) % 1.09/1.25 assert (zenon_L907_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp21)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a500)) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H28f zenon_H168 zenon_H260 zenon_H261 zenon_H262 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2b2 zenon_H22 zenon_H24 zenon_H23 zenon_H20d zenon_H20c zenon_H16 zenon_Hef. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.09/1.25 apply (zenon_L668_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.09/1.25 apply (zenon_L123_); trivial. % 1.09/1.25 apply (zenon_L513_); trivial. % 1.09/1.25 (* end of lemma zenon_L907_ *) % 1.09/1.25 assert (zenon_L908_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp21)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1dc zenon_H168 zenon_H260 zenon_H261 zenon_H262 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.25 apply (zenon_L668_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.25 apply (zenon_L57_); trivial. % 1.09/1.25 apply (zenon_L12_); trivial. % 1.09/1.25 (* end of lemma zenon_L908_ *) % 1.09/1.25 assert (zenon_L909_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp21)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H108 zenon_H28f zenon_H1cc zenon_H1cb zenon_H1ca zenon_H1dc zenon_H168 zenon_H260 zenon_H261 zenon_H262 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H18 zenon_H19 zenon_H1a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.09/1.25 apply (zenon_L668_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.09/1.25 apply (zenon_L123_); trivial. % 1.09/1.25 apply (zenon_L908_); trivial. % 1.09/1.25 (* end of lemma zenon_L909_ *) % 1.09/1.25 assert (zenon_L910_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H2d zenon_H10b zenon_H18 zenon_H19 zenon_H1a zenon_H1dc zenon_H174 zenon_H168 zenon_H262 zenon_H261 zenon_H260 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1ca zenon_H1cb zenon_H1cc zenon_H2b2 zenon_H20d zenon_H20c zenon_H28f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.09/1.25 apply (zenon_L907_); trivial. % 1.09/1.25 apply (zenon_L909_); trivial. % 1.09/1.25 (* end of lemma zenon_L910_ *) % 1.09/1.25 assert (zenon_L911_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a559))) -> (~(c2_1 (a559))) -> (~(c0_1 (a559))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hb6 zenon_H28f zenon_H75 zenon_H74 zenon_H73 zenon_H1cc zenon_H1cb zenon_H1ca. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.09/1.25 apply (zenon_L31_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.09/1.25 apply (zenon_L123_); trivial. % 1.09/1.25 apply (zenon_L99_); trivial. % 1.09/1.25 (* end of lemma zenon_L911_ *) % 1.09/1.25 assert (zenon_L912_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H7e zenon_Hbd zenon_H28f zenon_H272 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_He3 zenon_H1f8 zenon_H5b. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.09/1.25 apply (zenon_L573_); trivial. % 1.09/1.25 apply (zenon_L421_); trivial. % 1.09/1.25 apply (zenon_L911_); trivial. % 1.09/1.25 (* end of lemma zenon_L912_ *) % 1.09/1.25 assert (zenon_L913_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(c1_1 (a532))) -> (~(c2_1 (a532))) -> (c3_1 (a532)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H4b zenon_H5c zenon_H83 zenon_Hbd zenon_H272 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_He3 zenon_H1f8 zenon_H5b zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_Hc7 zenon_Hc6 zenon_Hc5 zenon_Hc1 zenon_Hc3 zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H260 zenon_H261 zenon_H262 zenon_H174 zenon_H1dc zenon_H1a zenon_H19 zenon_H18 zenon_H10b zenon_H33 zenon_H90 zenon_H1 zenon_Hc0. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.25 apply (zenon_L244_); trivial. % 1.09/1.25 apply (zenon_L910_); trivial. % 1.09/1.25 apply (zenon_L912_); trivial. % 1.09/1.25 apply (zenon_L859_); trivial. % 1.09/1.25 apply (zenon_L901_); trivial. % 1.09/1.25 (* end of lemma zenon_L913_ *) % 1.09/1.25 assert (zenon_L914_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H4b zenon_H5c zenon_H83 zenon_Hbd zenon_H272 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_He3 zenon_H1f8 zenon_H5b zenon_H116 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H260 zenon_H261 zenon_H262 zenon_H174 zenon_H1dc zenon_H1a zenon_H19 zenon_H18 zenon_H10b zenon_H33 zenon_H90 zenon_H1 zenon_Hc0. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.25 apply (zenon_L251_); trivial. % 1.09/1.25 apply (zenon_L910_); trivial. % 1.09/1.25 apply (zenon_L912_); trivial. % 1.09/1.25 apply (zenon_L859_); trivial. % 1.09/1.25 apply (zenon_L901_); trivial. % 1.09/1.25 (* end of lemma zenon_L914_ *) % 1.09/1.25 assert (zenon_L915_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H32 zenon_H195 zenon_H145 zenon_H1dc zenon_Hc1 zenon_H1c4 zenon_H121 zenon_H242 zenon_H243 zenon_H244 zenon_H174 zenon_H262 zenon_H261 zenon_H260 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H276. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.25 apply (zenon_L674_); trivial. % 1.09/1.25 apply (zenon_L530_); trivial. % 1.09/1.25 (* end of lemma zenon_L915_ *) % 1.09/1.25 assert (zenon_L916_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H61 zenon_H291 zenon_H4b zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hd zenon_Hb zenon_H276 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H260 zenon_H261 zenon_H262 zenon_H174 zenon_H244 zenon_H243 zenon_H242 zenon_H121 zenon_H1c4 zenon_Hc1 zenon_H1dc zenon_H145 zenon_H195 zenon_H36. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.25 apply (zenon_L7_); trivial. % 1.09/1.25 apply (zenon_L915_); trivial. % 1.09/1.25 apply (zenon_L424_); trivial. % 1.09/1.25 (* end of lemma zenon_L916_ *) % 1.09/1.25 assert (zenon_L917_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp17)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (ndr1_0) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c0_1 (a498))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1fa zenon_Ha2 zenon_H260 zenon_H261 zenon_H262 zenon_H63 zenon_H64 zenon_H65 zenon_Ha4 zenon_H16 zenon_H29e zenon_H29f zenon_H72 zenon_H29d. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.09/1.25 apply (zenon_L313_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.09/1.25 apply (zenon_L224_); trivial. % 1.09/1.25 apply (zenon_L315_); trivial. % 1.09/1.25 (* end of lemma zenon_L917_ *) % 1.09/1.25 assert (zenon_L918_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H251 zenon_H195 zenon_H192 zenon_H184 zenon_H166 zenon_H174 zenon_H1c9 zenon_H47 zenon_H29f zenon_H29e zenon_H29d zenon_H16 zenon_H7f zenon_H11 zenon_Ha4 zenon_H262 zenon_H261 zenon_H260 zenon_H1fa zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_He8 zenon_H143 zenon_H1a0. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.25 apply (zenon_L314_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 1.09/1.25 apply (zenon_L917_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 1.09/1.25 exact (zenon_H11 zenon_H12). % 1.09/1.25 exact (zenon_H7c zenon_H7d). % 1.09/1.25 apply (zenon_L820_); trivial. % 1.09/1.25 apply (zenon_L795_); trivial. % 1.09/1.25 (* end of lemma zenon_L918_ *) % 1.09/1.25 assert (zenon_L919_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H143 zenon_He8 zenon_H1f1 zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H302 zenon_H301 zenon_H300 zenon_H1fa zenon_H29d zenon_H29e zenon_H29f zenon_H47 zenon_H1c9. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.25 apply (zenon_L314_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.09/1.25 apply (zenon_L313_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.09/1.25 apply (zenon_L803_); trivial. % 1.09/1.25 apply (zenon_L27_); trivial. % 1.09/1.25 apply (zenon_L820_); trivial. % 1.09/1.25 (* end of lemma zenon_L919_ *) % 1.09/1.25 assert (zenon_L920_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H209 zenon_H1a0 zenon_H143 zenon_He8 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H1fa zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H7f zenon_H16 zenon_H29d zenon_H29e zenon_H29f zenon_H47 zenon_H1c9 zenon_H174 zenon_H166 zenon_H184 zenon_H192 zenon_H195 zenon_H251. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.25 apply (zenon_L918_); trivial. % 1.09/1.25 apply (zenon_L919_); trivial. % 1.09/1.25 (* end of lemma zenon_L920_ *) % 1.09/1.25 assert (zenon_L921_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp21)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c0_1 (a505))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a532)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (~(c1_1 (a532))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H28f zenon_H168 zenon_H260 zenon_H261 zenon_H262 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H20b zenon_H2b2 zenon_Hc5 zenon_Hc4 zenon_Hc7 zenon_H20d zenon_H20c zenon_H16 zenon_Hef. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.09/1.25 apply (zenon_L668_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.09/1.25 apply (zenon_L172_); trivial. % 1.09/1.25 apply (zenon_L502_); trivial. % 1.09/1.25 (* end of lemma zenon_L921_ *) % 1.09/1.25 assert (zenon_L922_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(c3_1 (a528))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_He7 zenon_H195 zenon_H11d zenon_H11b zenon_He3 zenon_He8 zenon_H1fa zenon_H19 zenon_H1a zenon_H18 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1dc zenon_H29f zenon_H29e zenon_H29d zenon_H174 zenon_H262 zenon_H261 zenon_H260 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H20b zenon_H20c zenon_H20d zenon_H2b2 zenon_H28f zenon_H10b. % 1.09/1.25 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.09/1.25 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.09/1.25 apply (zenon_L921_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.09/1.25 apply (zenon_L313_); trivial. % 1.09/1.25 apply (zenon_L704_); trivial. % 1.09/1.25 apply (zenon_L705_); trivial. % 1.09/1.25 apply (zenon_L365_); trivial. % 1.09/1.25 (* end of lemma zenon_L922_ *) % 1.09/1.25 assert (zenon_L923_ : ((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H255 zenon_H250 zenon_H1c9 zenon_H29f zenon_H29e zenon_H29d zenon_H276 zenon_Ha4 zenon_H262 zenon_H261 zenon_H260 zenon_H1fa zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_He8 zenon_H143 zenon_H1a0. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.25 apply (zenon_L314_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.09/1.25 apply (zenon_L184_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.09/1.25 apply (zenon_L917_); trivial. % 1.09/1.25 apply (zenon_L232_); trivial. % 1.09/1.25 apply (zenon_L820_); trivial. % 1.09/1.25 apply (zenon_L395_); trivial. % 1.09/1.25 (* end of lemma zenon_L923_ *) % 1.09/1.25 assert (zenon_L924_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H309 zenon_H16 zenon_H30a zenon_H30b zenon_H30c. % 1.09/1.25 generalize (zenon_H309 (a494)). zenon_intro zenon_H30d. % 1.09/1.25 apply (zenon_imply_s _ _ zenon_H30d); [ zenon_intro zenon_H15 | zenon_intro zenon_H30e ]. % 1.09/1.25 exact (zenon_H15 zenon_H16). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H30e); [ zenon_intro zenon_H310 | zenon_intro zenon_H30f ]. % 1.09/1.25 exact (zenon_H30a zenon_H310). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H312 | zenon_intro zenon_H311 ]. % 1.09/1.25 exact (zenon_H30b zenon_H312). % 1.09/1.25 exact (zenon_H311 zenon_H30c). % 1.09/1.25 (* end of lemma zenon_L924_ *) % 1.09/1.25 assert (zenon_L925_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (c1_1 (a501)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (~(c3_1 (a501))) -> (ndr1_0) -> (~(hskp9)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1c4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H62 zenon_H261 zenon_H1e4 zenon_H260 zenon_H16 zenon_Hc1. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c6 ]. % 1.09/1.25 apply (zenon_L113_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H17 | zenon_intro zenon_Hc2 ]. % 1.09/1.25 apply (zenon_L303_); trivial. % 1.09/1.25 exact (zenon_Hc1 zenon_Hc2). % 1.09/1.25 (* end of lemma zenon_L925_ *) % 1.09/1.25 assert (zenon_L926_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp9)) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_Hc1 zenon_H62 zenon_H1c4 zenon_H1f1 zenon_H261 zenon_H260 zenon_Ha2 zenon_H16 zenon_H27d zenon_H27e zenon_H27f zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H47. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H309 | zenon_intro zenon_H314 ]. % 1.09/1.25 apply (zenon_L924_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H17 ]. % 1.09/1.25 apply (zenon_L925_); trivial. % 1.09/1.25 apply (zenon_L459_); trivial. % 1.09/1.25 (* end of lemma zenon_L926_ *) % 1.09/1.25 assert (zenon_L927_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H142 zenon_H135 zenon_H134 zenon_Hd9 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H309 | zenon_intro zenon_H314 ]. % 1.09/1.25 apply (zenon_L924_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H17 ]. % 1.09/1.25 apply (zenon_L138_); trivial. % 1.09/1.25 apply (zenon_L12_); trivial. % 1.09/1.25 (* end of lemma zenon_L927_ *) % 1.09/1.25 assert (zenon_L928_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H7e zenon_H1dc zenon_H134 zenon_H135 zenon_H142 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H18 zenon_H19 zenon_H1a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.25 apply (zenon_L31_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.25 apply (zenon_L927_); trivial. % 1.09/1.25 apply (zenon_L12_); trivial. % 1.09/1.25 (* end of lemma zenon_L928_ *) % 1.09/1.25 assert (zenon_L929_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (ndr1_0) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H83 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H134 zenon_H135 zenon_H142 zenon_H18 zenon_H19 zenon_H1a zenon_H313 zenon_H16 zenon_H63 zenon_H64 zenon_H65 zenon_H6c zenon_H70. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.09/1.25 apply (zenon_L30_); trivial. % 1.09/1.25 apply (zenon_L928_); trivial. % 1.09/1.25 (* end of lemma zenon_L929_ *) % 1.09/1.25 assert (zenon_L930_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a527))) -> (c2_1 (a527)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(c1_1 (a527))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(hskp19)) -> (~(hskp18)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H192 zenon_H291 zenon_H4b zenon_H27d zenon_H27e zenon_H27f zenon_H18 zenon_H19 zenon_H1a zenon_H28d zenon_Hc0 zenon_H19e zenon_Ha2 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H90 zenon_H1 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H93 zenon_H96 zenon_H158 zenon_H95 zenon_H28f zenon_H2b zenon_Hb7 zenon_Hbd zenon_H83 zenon_H196 zenon_Hc1 zenon_Ha4 zenon_H1c3 zenon_H104 zenon_H1c1 zenon_H1dc zenon_H173. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.09/1.25 apply (zenon_L272_); trivial. % 1.09/1.25 apply (zenon_L292_); trivial. % 1.09/1.25 (* end of lemma zenon_L930_ *) % 1.09/1.25 assert (zenon_L931_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(hskp22)) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hc0 zenon_Hbd zenon_H19e zenon_Ha2 zenon_H164 zenon_H1 zenon_H90 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H313 zenon_H1a zenon_H19 zenon_H18 zenon_H142 zenon_H135 zenon_H134 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H83. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.09/1.25 apply (zenon_L929_); trivial. % 1.09/1.25 apply (zenon_L101_); trivial. % 1.09/1.25 (* end of lemma zenon_L931_ *) % 1.09/1.25 assert (zenon_L932_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(hskp13)) -> (~(hskp17)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H13f zenon_H192 zenon_H291 zenon_H4b zenon_H27d zenon_H27e zenon_H27f zenon_H28d zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H83 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H18 zenon_H19 zenon_H1a zenon_H313 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H90 zenon_H1 zenon_Ha2 zenon_H19e zenon_Hbd zenon_Hc0. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.09/1.25 apply (zenon_L931_); trivial. % 1.09/1.25 apply (zenon_L452_); trivial. % 1.09/1.25 (* end of lemma zenon_L932_ *) % 1.09/1.25 assert (zenon_L933_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (~(c0_1 (a533))) -> (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47)))))) -> (c1_1 (a533)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1e4 zenon_H16 zenon_H1ca zenon_H179 zenon_H1cb. % 1.09/1.25 generalize (zenon_H1e4 (a533)). zenon_intro zenon_H315. % 1.09/1.25 apply (zenon_imply_s _ _ zenon_H315); [ zenon_intro zenon_H15 | zenon_intro zenon_H316 ]. % 1.09/1.25 exact (zenon_H15 zenon_H16). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H317 ]. % 1.09/1.25 exact (zenon_H1ca zenon_H1d0). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H318 | zenon_intro zenon_H1d2 ]. % 1.09/1.25 generalize (zenon_H179 (a533)). zenon_intro zenon_H319. % 1.09/1.25 apply (zenon_imply_s _ _ zenon_H319); [ zenon_intro zenon_H15 | zenon_intro zenon_H31a ]. % 1.09/1.25 exact (zenon_H15 zenon_H16). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H31b ]. % 1.09/1.25 exact (zenon_H1ca zenon_H1d0). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H31c ]. % 1.09/1.25 exact (zenon_H1d2 zenon_H1cb). % 1.09/1.25 exact (zenon_H31c zenon_H318). % 1.09/1.25 exact (zenon_H1d2 zenon_H1cb). % 1.09/1.25 (* end of lemma zenon_L933_ *) % 1.09/1.25 assert (zenon_L934_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H28d zenon_H1cb zenon_H1ca zenon_H1e4 zenon_H27f zenon_H27e zenon_H27d zenon_H92 zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H179 | zenon_intro zenon_H28e ]. % 1.09/1.25 apply (zenon_L933_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H10c | zenon_intro zenon_H17 ]. % 1.09/1.25 apply (zenon_L262_); trivial. % 1.09/1.25 apply (zenon_L12_); trivial. % 1.09/1.25 (* end of lemma zenon_L934_ *) % 1.09/1.25 assert (zenon_L935_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (ndr1_0) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H92 zenon_H27d zenon_H27e zenon_H27f zenon_H1ca zenon_H1cb zenon_H28d zenon_H16 zenon_H18 zenon_H19 zenon_H1a. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H309 | zenon_intro zenon_H314 ]. % 1.09/1.25 apply (zenon_L924_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H17 ]. % 1.09/1.25 apply (zenon_L934_); trivial. % 1.09/1.25 apply (zenon_L12_); trivial. % 1.09/1.25 (* end of lemma zenon_L935_ *) % 1.09/1.25 assert (zenon_L936_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp4)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1d3 zenon_H291 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1a zenon_H19 zenon_H18 zenon_H28d zenon_H27f zenon_H27e zenon_H27d zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H4b. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.09/1.25 apply (zenon_L415_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.09/1.25 apply (zenon_L935_); trivial. % 1.09/1.25 exact (zenon_H4b zenon_H4c). % 1.09/1.25 (* end of lemma zenon_L936_ *) % 1.09/1.25 assert (zenon_L937_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a527))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a527)) -> (~(c3_1 (a527))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp13)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c0_1 X42)\/((c3_1 X42)\/(~(c2_1 X42))))))\/((hskp13)\/(hskp30))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp22)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H32 zenon_H143 zenon_H23c zenon_H11b zenon_Hc3 zenon_H144 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H173 zenon_H1dc zenon_H1c3 zenon_Ha4 zenon_Hc1 zenon_H196 zenon_H83 zenon_Hbd zenon_Hb7 zenon_H2b zenon_H28f zenon_H95 zenon_H158 zenon_H96 zenon_H93 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H1 zenon_H90 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H19e zenon_Hc0 zenon_H28d zenon_H27f zenon_H27e zenon_H27d zenon_H4b zenon_H291 zenon_H192 zenon_H1fc. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.25 apply (zenon_L930_); trivial. % 1.09/1.25 apply (zenon_L932_); trivial. % 1.09/1.25 apply (zenon_L936_); trivial. % 1.09/1.25 apply (zenon_L257_); trivial. % 1.09/1.25 (* end of lemma zenon_L937_ *) % 1.09/1.25 assert (zenon_L938_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H13f zenon_H1dc zenon_Hc1 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c4 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H18 zenon_H19 zenon_H1a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.25 apply (zenon_L528_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.25 apply (zenon_L927_); trivial. % 1.09/1.25 apply (zenon_L12_); trivial. % 1.09/1.25 (* end of lemma zenon_L938_ *) % 1.09/1.25 assert (zenon_L939_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H144 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H18 zenon_H19 zenon_H1a zenon_Hc1 zenon_H1c4 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.25 apply (zenon_L476_); trivial. % 1.09/1.25 apply (zenon_L938_); trivial. % 1.09/1.25 (* end of lemma zenon_L939_ *) % 1.09/1.25 assert (zenon_L940_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H61 zenon_H4b zenon_H5c zenon_Hd zenon_Hb zenon_H144 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hc1 zenon_H1c4 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_Hb4 zenon_Hb2 zenon_H47 zenon_H57 zenon_H5b zenon_H1fc zenon_H36. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.25 apply (zenon_L7_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.25 apply (zenon_L939_); trivial. % 1.09/1.25 apply (zenon_L125_); trivial. % 1.09/1.25 apply (zenon_L25_); trivial. % 1.09/1.25 (* end of lemma zenon_L940_ *) % 1.09/1.25 assert (zenon_L941_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H13f zenon_H145 zenon_He5 zenon_H4b zenon_He3 zenon_H121 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H313 zenon_H1a zenon_H19 zenon_H18 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.25 apply (zenon_L488_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.25 apply (zenon_L927_); trivial. % 1.09/1.25 apply (zenon_L12_); trivial. % 1.09/1.25 apply (zenon_L72_); trivial. % 1.09/1.25 (* end of lemma zenon_L941_ *) % 1.09/1.25 assert (zenon_L942_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H144 zenon_H145 zenon_He5 zenon_H4b zenon_He3 zenon_H121 zenon_H313 zenon_H1a zenon_H19 zenon_H18 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.25 apply (zenon_L476_); trivial. % 1.09/1.25 apply (zenon_L941_); trivial. % 1.09/1.25 (* end of lemma zenon_L942_ *) % 1.09/1.25 assert (zenon_L943_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H61 zenon_H5c zenon_Hd zenon_Hb zenon_H144 zenon_H145 zenon_He5 zenon_H4b zenon_He3 zenon_H121 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_Hb4 zenon_Hb2 zenon_H47 zenon_H57 zenon_H5b zenon_H1fc zenon_H36. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.25 apply (zenon_L7_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.25 apply (zenon_L942_); trivial. % 1.09/1.25 apply (zenon_L125_); trivial. % 1.09/1.25 apply (zenon_L25_); trivial. % 1.09/1.25 (* end of lemma zenon_L943_ *) % 1.09/1.25 assert (zenon_L944_ : ((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H23f zenon_H1a0 zenon_He8 zenon_H36 zenon_H1fc zenon_H5b zenon_H57 zenon_H47 zenon_Hb2 zenon_Hb4 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H121 zenon_He3 zenon_H4b zenon_He5 zenon_H145 zenon_H144 zenon_Hd zenon_H5c zenon_H61. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.25 apply (zenon_L943_); trivial. % 1.09/1.25 apply (zenon_L151_); trivial. % 1.09/1.25 (* end of lemma zenon_L944_ *) % 1.09/1.25 assert (zenon_L945_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp3)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (c1_1 (a512)) -> (c2_1 (a512)) -> (c3_1 (a512)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H56 zenon_H28f zenon_H1d6 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H24b zenon_H1cc zenon_H1cb zenon_H1ca zenon_Ha7 zenon_Ha8 zenon_Hba. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.09/1.25 apply (zenon_L496_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.09/1.25 apply (zenon_L123_); trivial. % 1.09/1.25 apply (zenon_L99_); trivial. % 1.09/1.25 (* end of lemma zenon_L945_ *) % 1.09/1.25 assert (zenon_L946_ : ((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hb6 zenon_H5b zenon_H28f zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1d6 zenon_H24b zenon_H1ca zenon_H1cb zenon_H1cc zenon_Hb2 zenon_Hb4. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H16. zenon_intro zenon_Hb8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha7. zenon_intro zenon_Hb9. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Ha8. zenon_intro zenon_Hba. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.09/1.25 apply (zenon_L124_); trivial. % 1.09/1.25 apply (zenon_L945_); trivial. % 1.09/1.25 (* end of lemma zenon_L946_ *) % 1.09/1.25 assert (zenon_L947_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H108 zenon_H5b zenon_H28f zenon_H18 zenon_H19 zenon_H1a zenon_H1dc zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1d6 zenon_H24b zenon_H1ca zenon_H1cb zenon_H1cc zenon_Hb2 zenon_Hb4. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.09/1.25 apply (zenon_L124_); trivial. % 1.09/1.25 apply (zenon_L598_); trivial. % 1.09/1.25 (* end of lemma zenon_L947_ *) % 1.09/1.25 assert (zenon_L948_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H32 zenon_H22a zenon_H228 zenon_H121 zenon_He3 zenon_H4b zenon_He5 zenon_H145 zenon_H144 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hc1 zenon_H1c4 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_Hbd zenon_Hb2 zenon_Hb4 zenon_H272 zenon_H24b zenon_H1d6 zenon_H2b2 zenon_H28f zenon_H5b zenon_H10b zenon_H33 zenon_H1fc. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.25 apply (zenon_L939_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.25 apply (zenon_L161_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 1.09/1.25 apply (zenon_L595_); trivial. % 1.09/1.25 apply (zenon_L946_); trivial. % 1.09/1.25 apply (zenon_L947_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.25 apply (zenon_L942_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.09/1.25 apply (zenon_L522_); trivial. % 1.09/1.25 apply (zenon_L947_); trivial. % 1.09/1.25 (* end of lemma zenon_L948_ *) % 1.09/1.25 assert (zenon_L949_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H36 zenon_H22a zenon_H228 zenon_H121 zenon_He3 zenon_H4b zenon_He5 zenon_H145 zenon_H144 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hc1 zenon_H1c4 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_Hbd zenon_Hb2 zenon_Hb4 zenon_H272 zenon_H24b zenon_H1d6 zenon_H2b2 zenon_H28f zenon_H5b zenon_H10b zenon_H33 zenon_H1fc zenon_H1 zenon_Hb zenon_Hd. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.25 apply (zenon_L7_); trivial. % 1.09/1.25 apply (zenon_L948_); trivial. % 1.09/1.25 (* end of lemma zenon_L949_ *) % 1.09/1.25 assert (zenon_L950_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1a1 zenon_H36 zenon_H22a zenon_H228 zenon_H121 zenon_He3 zenon_H4b zenon_He5 zenon_H145 zenon_H144 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hc1 zenon_H1c4 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H216 zenon_Hbd zenon_Hb2 zenon_Hb4 zenon_H272 zenon_H24b zenon_H1d6 zenon_H2b2 zenon_H28f zenon_H5b zenon_H10b zenon_H33 zenon_H1fc zenon_H1fa zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_He8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.25 apply (zenon_L174_); trivial. % 1.09/1.25 apply (zenon_L948_); trivial. % 1.09/1.25 (* end of lemma zenon_L950_ *) % 1.09/1.25 assert (zenon_L951_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H32 zenon_H1dc zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c4 zenon_Hc1 zenon_H14a zenon_H14b zenon_H14c zenon_H63 zenon_H64 zenon_H196. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.25 apply (zenon_L528_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.25 apply (zenon_L96_); trivial. % 1.09/1.25 apply (zenon_L12_); trivial. % 1.09/1.25 (* end of lemma zenon_L951_ *) % 1.09/1.25 assert (zenon_L952_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1a1 zenon_H36 zenon_H1dc zenon_H14a zenon_H14b zenon_H14c zenon_H196 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_Hc1 zenon_H1c4 zenon_H1fa zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_He8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.25 apply (zenon_L174_); trivial. % 1.09/1.25 apply (zenon_L951_); trivial. % 1.09/1.25 (* end of lemma zenon_L952_ *) % 1.09/1.25 assert (zenon_L953_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_H196 zenon_H1fa zenon_H22e zenon_He8 zenon_H36 zenon_H22a zenon_H228 zenon_H121 zenon_He3 zenon_H4b zenon_He5 zenon_H145 zenon_H144 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hc1 zenon_H1c4 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_Hbd zenon_Hb2 zenon_Hb4 zenon_H272 zenon_H24b zenon_H1d6 zenon_H2b2 zenon_H28f zenon_H5b zenon_H10b zenon_H33 zenon_H1fc zenon_Hd zenon_H5c zenon_H174 zenon_H195 zenon_H61. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.25 apply (zenon_L949_); trivial. % 1.09/1.25 apply (zenon_L198_); trivial. % 1.09/1.25 apply (zenon_L952_); trivial. % 1.09/1.25 (* end of lemma zenon_L953_ *) % 1.09/1.25 assert (zenon_L954_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp1)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H13f zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_H1a zenon_H19 zenon_H18 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H1dc zenon_Hb2. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 1.09/1.25 apply (zenon_L184_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.25 apply (zenon_L487_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.25 apply (zenon_L927_); trivial. % 1.09/1.25 apply (zenon_L12_); trivial. % 1.09/1.25 exact (zenon_Hb2 zenon_Hb3). % 1.09/1.25 (* end of lemma zenon_L954_ *) % 1.09/1.25 assert (zenon_L955_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H144 zenon_H270 zenon_Hb2 zenon_H313 zenon_H1a zenon_H19 zenon_H18 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H244 zenon_H243 zenon_H242 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.25 apply (zenon_L476_); trivial. % 1.09/1.25 apply (zenon_L954_); trivial. % 1.09/1.25 (* end of lemma zenon_L955_ *) % 1.09/1.25 assert (zenon_L956_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a514)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H32 zenon_H1fc zenon_H1fa zenon_H65 zenon_H63 zenon_H64 zenon_He3 zenon_H4b zenon_He5 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H242 zenon_H243 zenon_H244 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hb2 zenon_H270 zenon_H144. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.25 apply (zenon_L955_); trivial. % 1.09/1.25 apply (zenon_L148_); trivial. % 1.09/1.25 (* end of lemma zenon_L956_ *) % 1.09/1.25 assert (zenon_L957_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H61 zenon_H5b zenon_H57 zenon_H4b zenon_H5c zenon_Hd zenon_Hb zenon_H144 zenon_H270 zenon_Hb2 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H244 zenon_H243 zenon_H242 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_Hf1 zenon_H47 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H28f zenon_H3 zenon_H198 zenon_H10b zenon_H1fc zenon_H36. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.25 apply (zenon_L7_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.25 apply (zenon_L955_); trivial. % 1.09/1.25 apply (zenon_L767_); trivial. % 1.09/1.25 apply (zenon_L25_); trivial. % 1.09/1.25 (* end of lemma zenon_L957_ *) % 1.09/1.25 assert (zenon_L958_ : ((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H23f zenon_H1a0 zenon_He8 zenon_He3 zenon_He5 zenon_H36 zenon_H1fc zenon_H10b zenon_H198 zenon_H3 zenon_H28f zenon_H47 zenon_Hf1 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H242 zenon_H243 zenon_H244 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hb2 zenon_H270 zenon_H144 zenon_Hd zenon_H5c zenon_H4b zenon_H57 zenon_H5b zenon_H61. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.26 apply (zenon_L957_); trivial. % 1.09/1.26 apply (zenon_L151_); trivial. % 1.09/1.26 (* end of lemma zenon_L958_ *) % 1.09/1.26 assert (zenon_L959_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H2d zenon_H10b zenon_H198 zenon_H3 zenon_H242 zenon_H243 zenon_H244 zenon_H28f zenon_H20c zenon_H20d zenon_H2b2 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_Hb2 zenon_H270. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 1.09/1.26 apply (zenon_L184_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.09/1.26 apply (zenon_L487_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.09/1.26 apply (zenon_L123_); trivial. % 1.09/1.26 apply (zenon_L513_); trivial. % 1.09/1.26 exact (zenon_Hb2 zenon_Hb3). % 1.09/1.26 apply (zenon_L691_); trivial. % 1.09/1.26 (* end of lemma zenon_L959_ *) % 1.09/1.26 assert (zenon_L960_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1d3 zenon_H33 zenon_H20c zenon_H20d zenon_H1e2 zenon_H3 zenon_H21b zenon_H21c zenon_H223 zenon_H2b2 zenon_H242 zenon_H243 zenon_H244 zenon_H28f zenon_H198 zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_Hb2 zenon_H270 zenon_H10b. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.09/1.26 apply (zenon_L558_); trivial. % 1.09/1.26 apply (zenon_L691_); trivial. % 1.09/1.26 apply (zenon_L959_); trivial. % 1.09/1.26 (* end of lemma zenon_L960_ *) % 1.09/1.26 assert (zenon_L961_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H32 zenon_H22a zenon_H1e2 zenon_H144 zenon_H270 zenon_Hb2 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H244 zenon_H243 zenon_H242 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H2b2 zenon_H28f zenon_H3 zenon_H198 zenon_H10b zenon_H33 zenon_H1fc. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.26 apply (zenon_L955_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.26 apply (zenon_L161_); trivial. % 1.09/1.26 apply (zenon_L959_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.26 apply (zenon_L955_); trivial. % 1.09/1.26 apply (zenon_L960_); trivial. % 1.09/1.26 (* end of lemma zenon_L961_ *) % 1.09/1.26 assert (zenon_L962_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H36 zenon_H22a zenon_H1e2 zenon_H144 zenon_H270 zenon_Hb2 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H244 zenon_H243 zenon_H242 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H2b2 zenon_H28f zenon_H3 zenon_H198 zenon_H10b zenon_H33 zenon_H1fc zenon_H1 zenon_Hb zenon_Hd. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.26 apply (zenon_L7_); trivial. % 1.09/1.26 apply (zenon_L961_); trivial. % 1.09/1.26 (* end of lemma zenon_L962_ *) % 1.09/1.26 assert (zenon_L963_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H61 zenon_H195 zenon_H174 zenon_H4b zenon_H5c zenon_H14c zenon_H14b zenon_H14a zenon_H1d6 zenon_H24b zenon_H5b zenon_Hd zenon_Hb zenon_H1fc zenon_H33 zenon_H10b zenon_H198 zenon_H3 zenon_H28f zenon_H2b2 zenon_H20b zenon_H20c zenon_H20d zenon_H216 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H242 zenon_H243 zenon_H244 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hb2 zenon_H270 zenon_H144 zenon_H1e2 zenon_H22a zenon_H36. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.26 apply (zenon_L962_); trivial. % 1.09/1.26 apply (zenon_L198_); trivial. % 1.09/1.26 (* end of lemma zenon_L963_ *) % 1.09/1.26 assert (zenon_L964_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_H196 zenon_Hc1 zenon_H1c4 zenon_H1fa zenon_H22e zenon_He8 zenon_H36 zenon_H22a zenon_H1e2 zenon_H144 zenon_H270 zenon_Hb2 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H244 zenon_H243 zenon_H242 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H2b2 zenon_H28f zenon_H3 zenon_H198 zenon_H10b zenon_H33 zenon_H1fc zenon_Hd zenon_H5b zenon_H24b zenon_H1d6 zenon_H5c zenon_H4b zenon_H174 zenon_H195 zenon_H61. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.26 apply (zenon_L963_); trivial. % 1.09/1.26 apply (zenon_L952_); trivial. % 1.09/1.26 (* end of lemma zenon_L964_ *) % 1.09/1.26 assert (zenon_L965_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24)))))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (ndr1_0) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H142 zenon_H135 zenon_H134 zenon_Hd9 zenon_H37 zenon_H16 zenon_H16b zenon_H16c. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H309 | zenon_intro zenon_H314 ]. % 1.09/1.26 apply (zenon_L924_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H17 ]. % 1.09/1.26 apply (zenon_L138_); trivial. % 1.09/1.26 apply (zenon_L381_); trivial. % 1.09/1.26 (* end of lemma zenon_L965_ *) % 1.09/1.26 assert (zenon_L966_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (ndr1_0) -> (~(c3_1 (a554))) -> (c0_1 (a554)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1dc zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_H134 zenon_H135 zenon_H142 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H37 zenon_H16 zenon_H16b zenon_H16c. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.26 apply (zenon_L487_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.26 apply (zenon_L965_); trivial. % 1.09/1.26 apply (zenon_L381_); trivial. % 1.09/1.26 (* end of lemma zenon_L966_ *) % 1.09/1.26 assert (zenon_L967_ : ((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c1_1 (a496))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp1)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H175 zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H142 zenon_H135 zenon_H134 zenon_H2d3 zenon_H2d1 zenon_H2d2 zenon_H1dc zenon_Hb2. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H94 | zenon_intro zenon_H271 ]. % 1.09/1.26 apply (zenon_L184_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H37 | zenon_intro zenon_Hb3 ]. % 1.09/1.26 apply (zenon_L966_); trivial. % 1.09/1.26 exact (zenon_Hb2 zenon_Hb3). % 1.09/1.26 (* end of lemma zenon_L967_ *) % 1.09/1.26 assert (zenon_L968_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H144 zenon_H173 zenon_H270 zenon_Hb2 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H244 zenon_H243 zenon_H242 zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H3b zenon_H39 zenon_H3a zenon_H158 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.26 apply (zenon_L476_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.09/1.26 apply (zenon_L343_); trivial. % 1.09/1.26 apply (zenon_L967_); trivial. % 1.09/1.26 (* end of lemma zenon_L968_ *) % 1.09/1.26 assert (zenon_L969_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H5e zenon_H36 zenon_H1fc zenon_H195 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H5b zenon_H28f zenon_H2b2 zenon_H1d6 zenon_H24b zenon_H174 zenon_H4b zenon_H5c zenon_H276 zenon_H22e zenon_H10b zenon_H33 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H158 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H242 zenon_H243 zenon_H244 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hb2 zenon_H270 zenon_H173 zenon_H144 zenon_H198 zenon_H3 zenon_H1e2 zenon_H22a. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.26 apply (zenon_L968_); trivial. % 1.09/1.26 apply (zenon_L633_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.26 apply (zenon_L968_); trivial. % 1.09/1.26 apply (zenon_L960_); trivial. % 1.09/1.26 apply (zenon_L961_); trivial. % 1.09/1.26 (* end of lemma zenon_L969_ *) % 1.09/1.26 assert (zenon_L970_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H61 zenon_H195 zenon_H5b zenon_H1d6 zenon_H24b zenon_H174 zenon_H4b zenon_H5c zenon_H276 zenon_H22e zenon_H158 zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H173 zenon_Hd zenon_Hb zenon_H1fc zenon_H33 zenon_H10b zenon_H198 zenon_H3 zenon_H28f zenon_H2b2 zenon_H20b zenon_H20c zenon_H20d zenon_H216 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H242 zenon_H243 zenon_H244 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hb2 zenon_H270 zenon_H144 zenon_H1e2 zenon_H22a zenon_H36. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.26 apply (zenon_L962_); trivial. % 1.09/1.26 apply (zenon_L969_); trivial. % 1.09/1.26 (* end of lemma zenon_L970_ *) % 1.09/1.26 assert (zenon_L971_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_H1fa zenon_He8 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H36 zenon_H22a zenon_H1e2 zenon_H144 zenon_H270 zenon_Hb2 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H244 zenon_H243 zenon_H242 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H2b2 zenon_H28f zenon_H3 zenon_H198 zenon_H10b zenon_H33 zenon_H1fc zenon_Hd zenon_H5b zenon_H24b zenon_H1d6 zenon_H5c zenon_H4b zenon_H174 zenon_H195 zenon_H61. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.26 apply (zenon_L963_); trivial. % 1.09/1.26 apply (zenon_L592_); trivial. % 1.09/1.26 (* end of lemma zenon_L971_ *) % 1.09/1.26 assert (zenon_L972_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H252 zenon_H23e zenon_H251 zenon_H1a0 zenon_H196 zenon_H1c4 zenon_H1fa zenon_H22e zenon_He8 zenon_H36 zenon_H22a zenon_H1e2 zenon_H144 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H1c3 zenon_H216 zenon_H2b2 zenon_H28f zenon_H3 zenon_H198 zenon_H10b zenon_H33 zenon_H1fc zenon_Hd zenon_H5b zenon_H24b zenon_H1d6 zenon_H5c zenon_H4b zenon_H174 zenon_H195 zenon_H61 zenon_H242 zenon_H243 zenon_H244 zenon_H7f zenon_H2d2 zenon_H2d1 zenon_H2d3 zenon_Hb2 zenon_H270 zenon_H276 zenon_H158 zenon_H173 zenon_H209. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.09/1.26 apply (zenon_L687_); trivial. % 1.09/1.26 apply (zenon_L964_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.26 apply (zenon_L970_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.26 apply (zenon_L174_); trivial. % 1.09/1.26 apply (zenon_L961_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.09/1.26 apply (zenon_L687_); trivial. % 1.09/1.26 apply (zenon_L971_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.26 apply (zenon_L970_); trivial. % 1.09/1.26 apply (zenon_L592_); trivial. % 1.09/1.26 (* end of lemma zenon_L972_ *) % 1.09/1.26 assert (zenon_L973_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H11d zenon_H11b zenon_He3 zenon_H216 zenon_H214 zenon_H20d zenon_H20c zenon_H20b zenon_H28f zenon_H2b2 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H260 zenon_H261 zenon_H262 zenon_H174 zenon_H1dc zenon_H1a zenon_H19 zenon_H18 zenon_H10b zenon_H33. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.26 apply (zenon_L161_); trivial. % 1.09/1.26 apply (zenon_L910_); trivial. % 1.09/1.26 apply (zenon_L365_); trivial. % 1.09/1.26 (* end of lemma zenon_L973_ *) % 1.09/1.26 assert (zenon_L974_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1fc zenon_H195 zenon_H11d zenon_H11b zenon_H216 zenon_H214 zenon_H20d zenon_H20c zenon_H20b zenon_H28f zenon_H2b2 zenon_H260 zenon_H261 zenon_H262 zenon_H174 zenon_H10b zenon_H33 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H18 zenon_H19 zenon_H1a zenon_H313 zenon_H121 zenon_He3 zenon_H4b zenon_He5 zenon_H145 zenon_H144. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.26 apply (zenon_L942_); trivial. % 1.09/1.26 apply (zenon_L973_); trivial. % 1.09/1.26 (* end of lemma zenon_L974_ *) % 1.09/1.26 assert (zenon_L975_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H11d zenon_H11b zenon_He3 zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H21b zenon_H21c zenon_H223 zenon_H2b2 zenon_H174 zenon_H262 zenon_H261 zenon_H260 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1dc zenon_H1a zenon_H19 zenon_H18 zenon_H28f zenon_H10b. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.09/1.26 apply (zenon_L522_); trivial. % 1.09/1.26 apply (zenon_L909_); trivial. % 1.09/1.26 apply (zenon_L365_); trivial. % 1.09/1.26 (* end of lemma zenon_L975_ *) % 1.09/1.26 assert (zenon_L976_ : ((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H22b zenon_H1fc zenon_H195 zenon_H11d zenon_H11b zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H2b2 zenon_H174 zenon_H262 zenon_H261 zenon_H260 zenon_H28f zenon_H10b zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H18 zenon_H19 zenon_H1a zenon_H313 zenon_H121 zenon_He3 zenon_H4b zenon_He5 zenon_H145 zenon_H144. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.26 apply (zenon_L942_); trivial. % 1.09/1.26 apply (zenon_L975_); trivial. % 1.09/1.26 (* end of lemma zenon_L976_ *) % 1.09/1.26 assert (zenon_L977_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp21)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H28f zenon_H168 zenon_H260 zenon_H261 zenon_H262 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_Hc4 zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_H16 zenon_H9. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.09/1.26 apply (zenon_L668_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.09/1.26 apply (zenon_L172_); trivial. % 1.09/1.26 apply (zenon_L349_); trivial. % 1.09/1.26 (* end of lemma zenon_L977_ *) % 1.09/1.26 assert (zenon_L978_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp15)) -> (c1_1 (a504)) -> (c3_1 (a504)) -> (c0_1 (a504)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp21)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp4)) -> (~(hskp5)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp3)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H56 zenon_He8 zenon_H9 zenon_Hf4 zenon_Hf5 zenon_Hf6 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H174 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H262 zenon_H261 zenon_H260 zenon_H168 zenon_H28f zenon_H4b zenon_He3 zenon_H134 zenon_H135 zenon_He5 zenon_H24b zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1d6. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.09/1.26 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.09/1.26 apply (zenon_L977_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.09/1.26 apply (zenon_L75_); trivial. % 1.09/1.26 apply (zenon_L306_); trivial. % 1.09/1.26 (* end of lemma zenon_L978_ *) % 1.09/1.26 assert (zenon_L979_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H108 zenon_H5b zenon_H1d6 zenon_H24b zenon_He3 zenon_He5 zenon_H28f zenon_H9 zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H260 zenon_H261 zenon_H262 zenon_H168 zenon_H174 zenon_H135 zenon_H134 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_He8. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.09/1.26 apply (zenon_L977_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.09/1.26 apply (zenon_L507_); trivial. % 1.09/1.26 apply (zenon_L504_); trivial. % 1.09/1.26 apply (zenon_L978_); trivial. % 1.09/1.26 (* end of lemma zenon_L979_ *) % 1.09/1.26 assert (zenon_L980_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp21)) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(hskp15)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H108 zenon_H28f zenon_H168 zenon_H260 zenon_H261 zenon_H262 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H174 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H9. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.09/1.26 apply (zenon_L668_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.09/1.26 apply (zenon_L123_); trivial. % 1.09/1.26 apply (zenon_L349_); trivial. % 1.09/1.26 (* end of lemma zenon_L980_ *) % 1.09/1.26 assert (zenon_L981_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H5c zenon_H4b zenon_H24b zenon_H1d6 zenon_H5b zenon_H216 zenon_H214 zenon_H20d zenon_H20c zenon_H20b zenon_H28f zenon_H2b2 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H260 zenon_H261 zenon_H262 zenon_H174 zenon_H22e zenon_H9 zenon_H10b zenon_H33. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.26 apply (zenon_L161_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.09/1.26 apply (zenon_L907_); trivial. % 1.09/1.26 apply (zenon_L980_); trivial. % 1.09/1.26 apply (zenon_L519_); trivial. % 1.09/1.26 (* end of lemma zenon_L981_ *) % 1.09/1.26 assert (zenon_L982_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1fc zenon_H195 zenon_H11d zenon_H11b zenon_H216 zenon_H214 zenon_H20d zenon_H20c zenon_H20b zenon_H5b zenon_H1d6 zenon_H24b zenon_H174 zenon_H3b zenon_H3a zenon_H39 zenon_H5c zenon_H2b2 zenon_H28f zenon_H262 zenon_H261 zenon_H260 zenon_H10b zenon_H33 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H16 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H18 zenon_H19 zenon_H1a zenon_H313 zenon_H121 zenon_He3 zenon_H4b zenon_He5 zenon_H145 zenon_H144. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.26 apply (zenon_L942_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.26 apply (zenon_L161_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.09/1.26 apply (zenon_L515_); trivial. % 1.09/1.26 apply (zenon_L909_); trivial. % 1.09/1.26 apply (zenon_L365_); trivial. % 1.09/1.26 (* end of lemma zenon_L982_ *) % 1.09/1.26 assert (zenon_L983_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H61 zenon_H4b zenon_H5c zenon_Hd zenon_Hb zenon_H144 zenon_H270 zenon_Hb2 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H244 zenon_H243 zenon_H242 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H5b zenon_H57 zenon_H47 zenon_H272 zenon_H28f zenon_Hbd zenon_H1fc zenon_H36. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.26 apply (zenon_L7_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.26 apply (zenon_L955_); trivial. % 1.09/1.26 apply (zenon_L576_); trivial. % 1.09/1.26 apply (zenon_L25_); trivial. % 1.09/1.26 (* end of lemma zenon_L983_ *) % 1.09/1.26 assert (zenon_L984_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a512))/\((c2_1 (a512))/\(c3_1 (a512)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp30))) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_H196 zenon_Hc1 zenon_H3 zenon_H198 zenon_H36 zenon_H1fc zenon_Hbd zenon_H28f zenon_H272 zenon_H47 zenon_H57 zenon_H5b zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H242 zenon_H243 zenon_H244 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hb2 zenon_H270 zenon_H144 zenon_Hd zenon_H5c zenon_H4b zenon_H61. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.26 apply (zenon_L983_); trivial. % 1.09/1.26 apply (zenon_L688_); trivial. % 1.09/1.26 (* end of lemma zenon_L984_ *) % 1.09/1.26 assert (zenon_L985_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (c1_1 (a501)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (~(c3_1 (a501))) -> (ndr1_0) -> (~(hskp9)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1c4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H72 zenon_H261 zenon_H1e4 zenon_H260 zenon_H16 zenon_Hc1. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c6 ]. % 1.09/1.26 apply (zenon_L480_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H17 | zenon_intro zenon_Hc2 ]. % 1.09/1.26 apply (zenon_L303_); trivial. % 1.09/1.26 exact (zenon_Hc1 zenon_Hc2). % 1.09/1.26 (* end of lemma zenon_L985_ *) % 1.09/1.26 assert (zenon_L986_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp9)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_Hc1 zenon_H72 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c4 zenon_H1f1 zenon_H261 zenon_H260 zenon_Ha2 zenon_H16 zenon_H27d zenon_H27e zenon_H27f zenon_H63 zenon_H64 zenon_H65 zenon_Ha4 zenon_H47. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H309 | zenon_intro zenon_H314 ]. % 1.09/1.26 apply (zenon_L924_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H17 ]. % 1.09/1.26 apply (zenon_L985_); trivial. % 1.09/1.26 apply (zenon_L305_); trivial. % 1.09/1.26 (* end of lemma zenon_L986_ *) % 1.09/1.26 assert (zenon_L987_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp9)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_Hc1 zenon_H72 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c4 zenon_H1f1 zenon_H261 zenon_H260 zenon_Ha2 zenon_H16 zenon_H27d zenon_H27e zenon_H27f zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H47. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H309 | zenon_intro zenon_H314 ]. % 1.09/1.26 apply (zenon_L924_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H17 ]. % 1.09/1.26 apply (zenon_L985_); trivial. % 1.09/1.26 apply (zenon_L459_); trivial. % 1.09/1.26 (* end of lemma zenon_L987_ *) % 1.09/1.26 assert (zenon_L988_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp9)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp17)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1d3 zenon_H1dc zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1c4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_Hc1 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H1fa zenon_H1f1 zenon_H261 zenon_H260 zenon_Ha2 zenon_H27d zenon_H27e zenon_H27f zenon_H63 zenon_H64 zenon_H65 zenon_Ha4 zenon_H47. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.26 apply (zenon_L987_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.26 apply (zenon_L284_); trivial. % 1.09/1.26 apply (zenon_L305_); trivial. % 1.09/1.26 (* end of lemma zenon_L988_ *) % 1.09/1.26 assert (zenon_L989_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H13f zenon_H1dc zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_He8 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H18 zenon_H19 zenon_H1a. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.26 apply (zenon_L332_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.26 apply (zenon_L927_); trivial. % 1.09/1.26 apply (zenon_L12_); trivial. % 1.09/1.26 (* end of lemma zenon_L989_ *) % 1.09/1.26 assert (zenon_L990_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H144 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H18 zenon_H19 zenon_H1a zenon_H313 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.26 apply (zenon_L476_); trivial. % 1.09/1.26 apply (zenon_L989_); trivial. % 1.09/1.26 (* end of lemma zenon_L990_ *) % 1.09/1.26 assert (zenon_L991_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H32 zenon_H1fc zenon_H10b zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H2b2 zenon_H28f zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H144. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.26 apply (zenon_L990_); trivial. % 1.09/1.26 apply (zenon_L718_); trivial. % 1.09/1.26 (* end of lemma zenon_L991_ *) % 1.09/1.26 assert (zenon_L992_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H36 zenon_H1fc zenon_H10b zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H2b2 zenon_H28f zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H144 zenon_H1 zenon_Hb zenon_Hd. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.26 apply (zenon_L7_); trivial. % 1.09/1.26 apply (zenon_L991_); trivial. % 1.09/1.26 (* end of lemma zenon_L992_ *) % 1.09/1.26 assert (zenon_L993_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1a1 zenon_H36 zenon_H1fc zenon_H10b zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H2b2 zenon_H28f zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H29d zenon_H29e zenon_H29f zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H144 zenon_H1fa zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_He8. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.26 apply (zenon_L174_); trivial. % 1.09/1.26 apply (zenon_L991_); trivial. % 1.09/1.26 (* end of lemma zenon_L993_ *) % 1.09/1.26 assert (zenon_L994_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H36 zenon_H1fc zenon_H10b zenon_H2b2 zenon_H28f zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H144 zenon_Hd zenon_H192 zenon_H158 zenon_H166 zenon_H174 zenon_H22e zenon_H173 zenon_H195 zenon_H61. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.26 apply (zenon_L992_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.26 apply (zenon_L714_); trivial. % 1.09/1.26 apply (zenon_L991_); trivial. % 1.09/1.26 apply (zenon_L993_); trivial. % 1.09/1.26 (* end of lemma zenon_L994_ *) % 1.09/1.26 assert (zenon_L995_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H251 zenon_H1a0 zenon_H36 zenon_H22a zenon_H13 zenon_H144 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H216 zenon_H2b2 zenon_H28f zenon_H1ff zenon_H1fe zenon_H1fd zenon_H10b zenon_H33 zenon_H1fc zenon_Hd zenon_H192 zenon_H184 zenon_H174 zenon_H158 zenon_H166 zenon_H173 zenon_H195 zenon_H61 zenon_He8 zenon_H16 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H11 zenon_H7f. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.09/1.26 apply (zenon_L333_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.26 apply (zenon_L7_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.26 apply (zenon_L990_); trivial. % 1.09/1.26 apply (zenon_L725_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.26 apply (zenon_L990_); trivial. % 1.09/1.26 apply (zenon_L730_); trivial. % 1.09/1.26 apply (zenon_L94_); trivial. % 1.09/1.26 apply (zenon_L329_); trivial. % 1.09/1.26 (* end of lemma zenon_L995_ *) % 1.09/1.26 assert (zenon_L996_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H252 zenon_H23e zenon_H184 zenon_H33 zenon_H216 zenon_H13 zenon_H22a zenon_H251 zenon_H196 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H7f zenon_H61 zenon_H195 zenon_H173 zenon_H22e zenon_H174 zenon_H166 zenon_H158 zenon_H192 zenon_Hd zenon_H144 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H28f zenon_H2b2 zenon_H10b zenon_H1fc zenon_H36 zenon_H1a0 zenon_H209. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.26 apply (zenon_L334_); trivial. % 1.09/1.26 apply (zenon_L994_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.26 apply (zenon_L995_); trivial. % 1.09/1.26 apply (zenon_L994_); trivial. % 1.09/1.26 (* end of lemma zenon_L996_ *) % 1.09/1.26 assert (zenon_L997_ : ((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H27a zenon_H250 zenon_H184 zenon_H33 zenon_H216 zenon_H13 zenon_H22a zenon_H251 zenon_H196 zenon_H7f zenon_H61 zenon_H195 zenon_H173 zenon_H22e zenon_H174 zenon_H166 zenon_H158 zenon_H192 zenon_Hd zenon_H144 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H28f zenon_H2b2 zenon_H10b zenon_H1fc zenon_H36 zenon_H209 zenon_H1a0 zenon_H143 zenon_He8 zenon_Hc3 zenon_Ha4 zenon_H1fa zenon_H29d zenon_H29e zenon_H29f zenon_H1c9 zenon_H23e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.09/1.26 apply (zenon_L392_); trivial. % 1.09/1.26 apply (zenon_L996_); trivial. % 1.09/1.26 (* end of lemma zenon_L997_ *) % 1.09/1.26 assert (zenon_L998_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H61 zenon_H276 zenon_Hb2 zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_Hd zenon_Hb zenon_H144 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H28f zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H10b zenon_H1fc zenon_H36. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.26 apply (zenon_L992_); trivial. % 1.09/1.26 apply (zenon_L387_); trivial. % 1.09/1.26 (* end of lemma zenon_L998_ *) % 1.09/1.26 assert (zenon_L999_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H252 zenon_H23e zenon_H195 zenon_H173 zenon_H166 zenon_H158 zenon_H174 zenon_H184 zenon_H192 zenon_H33 zenon_H216 zenon_H13 zenon_H22a zenon_H251 zenon_H196 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H7f zenon_H61 zenon_H276 zenon_Hb2 zenon_H270 zenon_H244 zenon_H243 zenon_H242 zenon_Hd zenon_H144 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H28f zenon_H2b2 zenon_H10b zenon_H1fc zenon_H36 zenon_H22e zenon_H1a0 zenon_H209. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.27 apply (zenon_L334_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.27 apply (zenon_L998_); trivial. % 1.09/1.27 apply (zenon_L993_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.09/1.27 apply (zenon_L995_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.27 apply (zenon_L998_); trivial. % 1.09/1.27 apply (zenon_L329_); trivial. % 1.09/1.27 (* end of lemma zenon_L999_ *) % 1.09/1.27 assert (zenon_L1000_ : ((ndr1_0)/\((c0_1 (a499))/\((c2_1 (a499))/\(~(c1_1 (a499)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((hskp28)\/((hskp13)\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H2bf zenon_H278 zenon_H250 zenon_H23c zenon_H22e zenon_H2b2 zenon_H28f zenon_H10b zenon_H36 zenon_H209 zenon_H1a0 zenon_H143 zenon_He8 zenon_Hc3 zenon_H144 zenon_H1dc zenon_H198 zenon_Ha4 zenon_H1f1 zenon_H1c3 zenon_H1fa zenon_H1fc zenon_H1c9 zenon_H7f zenon_H29d zenon_H29e zenon_H29f zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H196 zenon_H251 zenon_H23e zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H270 zenon_Hb2 zenon_H276 zenon_H61 zenon_H22a zenon_H13 zenon_H216 zenon_H33 zenon_H192 zenon_H184 zenon_H174 zenon_H158 zenon_H166 zenon_H173 zenon_H195 zenon_H279. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.09/1.27 apply (zenon_L749_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.09/1.27 apply (zenon_L744_); trivial. % 1.09/1.27 apply (zenon_L999_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.27 apply (zenon_L314_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.27 apply (zenon_L390_); trivial. % 1.09/1.27 apply (zenon_L257_); trivial. % 1.09/1.27 apply (zenon_L330_); trivial. % 1.09/1.27 apply (zenon_L748_); trivial. % 1.09/1.27 apply (zenon_L699_); trivial. % 1.09/1.27 (* end of lemma zenon_L1000_ *) % 1.09/1.27 assert (zenon_L1001_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H32 zenon_H1fc zenon_H5b zenon_H1f8 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hb2 zenon_Hb4 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H121 zenon_He3 zenon_H4b zenon_He5 zenon_H145 zenon_H144. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.27 apply (zenon_L942_); trivial. % 1.09/1.27 apply (zenon_L467_); trivial. % 1.09/1.27 (* end of lemma zenon_L1001_ *) % 1.09/1.27 assert (zenon_L1002_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H61 zenon_H291 zenon_Hd zenon_Hb zenon_H144 zenon_H145 zenon_He5 zenon_H4b zenon_He3 zenon_H121 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_Hb4 zenon_Hb2 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H1f8 zenon_H5b zenon_H1fc zenon_H36. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.27 apply (zenon_L7_); trivial. % 1.09/1.27 apply (zenon_L1001_); trivial. % 1.09/1.27 apply (zenon_L424_); trivial. % 1.09/1.27 (* end of lemma zenon_L1002_ *) % 1.09/1.27 assert (zenon_L1003_ : ((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H183 zenon_H33 zenon_H1f8 zenon_He3 zenon_H196 zenon_Hc1 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H63 zenon_H64 zenon_H9 zenon_H22e zenon_H1f1 zenon_H47 zenon_H142 zenon_H135 zenon_H134 zenon_H198 zenon_H1dc zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.27 apply (zenon_L416_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 1.09/1.27 apply (zenon_L415_); trivial. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 1.09/1.27 apply (zenon_L482_); trivial. % 1.09/1.27 exact (zenon_He3 zenon_He4). % 1.09/1.27 (* end of lemma zenon_L1003_ *) % 1.09/1.27 assert (zenon_L1004_ : ((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp31)\/(hskp1))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp23))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a541))/\((c1_1 (a541))/\(~(c2_1 (a541))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H23f zenon_H1a0 zenon_He8 zenon_H36 zenon_H1fc zenon_H5b zenon_H1f8 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hb2 zenon_Hb4 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H121 zenon_He3 zenon_H4b zenon_He5 zenon_H145 zenon_H144 zenon_Hd zenon_H291 zenon_H61. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.27 apply (zenon_L1002_); trivial. % 1.09/1.27 apply (zenon_L151_); trivial. % 1.09/1.27 (* end of lemma zenon_L1004_ *) % 1.09/1.27 assert (zenon_L1005_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c3_1 (a534))) -> (ndr1_0) -> (~(hskp9)) -> False). % 1.09/1.27 do 0 intro. intros zenon_H1c4 zenon_H14c zenon_H14b zenon_H14a zenon_H135 zenon_H134 zenon_H72 zenon_H142 zenon_H16 zenon_Hc1. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c6 ]. % 1.09/1.27 apply (zenon_L79_); trivial. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H17 | zenon_intro zenon_Hc2 ]. % 1.09/1.27 apply (zenon_L142_); trivial. % 1.09/1.27 exact (zenon_Hc1 zenon_Hc2). % 1.09/1.27 (* end of lemma zenon_L1005_ *) % 1.09/1.27 assert (zenon_L1006_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> False). % 1.09/1.27 do 0 intro. intros zenon_H13f zenon_H1dc zenon_Hc1 zenon_H14a zenon_H14b zenon_H14c zenon_H1c4 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H18 zenon_H19 zenon_H1a. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.27 apply (zenon_L1005_); trivial. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.27 apply (zenon_L927_); trivial. % 1.09/1.27 apply (zenon_L12_); trivial. % 1.09/1.27 (* end of lemma zenon_L1006_ *) % 1.09/1.27 assert (zenon_L1007_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c3_1 (a528))) -> (c0_1 (a528)) -> (c1_1 (a528)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H144 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H18 zenon_H19 zenon_H1a zenon_H313 zenon_H14a zenon_H14b zenon_H14c zenon_Hc1 zenon_H1c4 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.27 apply (zenon_L476_); trivial. % 1.09/1.27 apply (zenon_L1006_); trivial. % 1.09/1.27 (* end of lemma zenon_L1007_ *) % 1.09/1.27 assert (zenon_L1008_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (c1_1 (a528)) -> (c0_1 (a528)) -> (~(c3_1 (a528))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp17)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp6)) -> False). % 1.09/1.27 do 0 intro. intros zenon_H13f zenon_H1dc zenon_Hc1 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c4 zenon_H1a zenon_H19 zenon_H18 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H198 zenon_H47 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H27f zenon_H27e zenon_H27d zenon_Ha2 zenon_H1f1 zenon_H3. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.27 apply (zenon_L528_); trivial. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.27 apply (zenon_L927_); trivial. % 1.09/1.27 apply (zenon_L277_); trivial. % 1.09/1.27 (* end of lemma zenon_L1008_ *) % 1.09/1.27 assert (zenon_L1009_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H32 zenon_H143 zenon_H23c zenon_H11b zenon_Hc3 zenon_H144 zenon_H1dc zenon_H1f1 zenon_H47 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H27d zenon_H27e zenon_H27f zenon_Ha4 zenon_H3 zenon_H198 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hc1 zenon_H1c4 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H28d zenon_H4b zenon_H291 zenon_H1fc. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.27 apply (zenon_L476_); trivial. % 1.09/1.27 apply (zenon_L1008_); trivial. % 1.09/1.27 apply (zenon_L936_); trivial. % 1.09/1.27 apply (zenon_L257_); trivial. % 1.09/1.27 (* end of lemma zenon_L1009_ *) % 1.09/1.27 assert (zenon_L1010_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H61 zenon_H5b zenon_H57 zenon_H5c zenon_Hd zenon_Hb zenon_H1fc zenon_H291 zenon_H4b zenon_H28d zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1c4 zenon_Hc1 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H198 zenon_H3 zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1 zenon_H1dc zenon_H144 zenon_Hc3 zenon_H11b zenon_H23c zenon_H143 zenon_H36. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.27 apply (zenon_L7_); trivial. % 1.09/1.27 apply (zenon_L1009_); trivial. % 1.09/1.27 apply (zenon_L25_); trivial. % 1.09/1.27 (* end of lemma zenon_L1010_ *) % 1.09/1.27 assert (zenon_L1011_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H32 zenon_H1fc zenon_H291 zenon_H4b zenon_H28d zenon_H27f zenon_H27e zenon_H27d zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H242 zenon_H243 zenon_H244 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hb2 zenon_H270 zenon_H144. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.27 apply (zenon_L955_); trivial. % 1.09/1.27 apply (zenon_L936_); trivial. % 1.09/1.27 (* end of lemma zenon_L1011_ *) % 1.09/1.27 assert (zenon_L1012_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H61 zenon_Hd zenon_Hb zenon_H144 zenon_H270 zenon_Hb2 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H1dc zenon_H244 zenon_H243 zenon_H242 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H27d zenon_H27e zenon_H27f zenon_H28d zenon_H4b zenon_H291 zenon_H1fc zenon_H36. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.27 apply (zenon_L7_); trivial. % 1.09/1.27 apply (zenon_L1011_); trivial. % 1.09/1.27 apply (zenon_L424_); trivial. % 1.09/1.27 (* end of lemma zenon_L1012_ *) % 1.09/1.27 assert (zenon_L1013_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_H196 zenon_Hc1 zenon_H3 zenon_H198 zenon_H36 zenon_H1fc zenon_H291 zenon_H4b zenon_H28d zenon_H27f zenon_H27e zenon_H27d zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H242 zenon_H243 zenon_H244 zenon_H1dc zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hb2 zenon_H270 zenon_H144 zenon_Hd zenon_H61. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.27 apply (zenon_L1012_); trivial. % 1.09/1.27 apply (zenon_L688_); trivial. % 1.09/1.27 (* end of lemma zenon_L1013_ *) % 1.09/1.27 assert (zenon_L1014_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (c0_1 (a500)) -> (c3_1 (a500)) -> (c2_1 (a500)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.09/1.27 do 0 intro. intros zenon_H1f1 zenon_H261 zenon_H260 zenon_H17 zenon_H22 zenon_H24 zenon_H23 zenon_Hf3 zenon_H16 zenon_H47. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f2 ]. % 1.09/1.27 apply (zenon_L303_); trivial. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H10c | zenon_intro zenon_H48 ]. % 1.09/1.27 apply (zenon_L512_); trivial. % 1.09/1.27 exact (zenon_H47 zenon_H48). % 1.09/1.27 (* end of lemma zenon_L1014_ *) % 1.09/1.27 assert (zenon_L1015_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25))))))\/(hskp9))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp9)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (c2_1 (a501)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp8)) -> False). % 1.09/1.27 do 0 intro. intros zenon_H1dc zenon_H1c4 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_Hc1 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H65 zenon_H64 zenon_H63 zenon_H92 zenon_H262 zenon_H1fa zenon_H1f1 zenon_H261 zenon_H260 zenon_Ha2 zenon_H16 zenon_H27d zenon_H27e zenon_H27f zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Ha4 zenon_H47. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.09/1.27 apply (zenon_L987_); trivial. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.09/1.27 apply (zenon_L453_); trivial. % 1.09/1.27 apply (zenon_L459_); trivial. % 1.09/1.27 (* end of lemma zenon_L1015_ *) % 1.09/1.27 assert (zenon_L1016_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H23e zenon_He8 zenon_H1c9 zenon_H47 zenon_H29f zenon_H29e zenon_H29d zenon_H16 zenon_H144 zenon_H33 zenon_H1f8 zenon_He3 zenon_H196 zenon_H1f1 zenon_H198 zenon_H1dc zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H3 zenon_H1e2 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fa zenon_H1fc zenon_H1a0. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.09/1.27 apply (zenon_L314_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.09/1.27 apply (zenon_L476_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.09/1.27 apply (zenon_L416_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 1.09/1.27 apply (zenon_L415_); trivial. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 1.09/1.27 apply (zenon_L701_); trivial. % 1.09/1.27 exact (zenon_He3 zenon_He4). % 1.09/1.27 apply (zenon_L398_); trivial. % 1.09/1.27 apply (zenon_L330_); trivial. % 1.09/1.27 (* end of lemma zenon_L1016_ *) % 1.09/1.27 assert (zenon_L1017_ : ((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H32 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H302 zenon_H301 zenon_H300. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H309 | zenon_intro zenon_H314 ]. % 1.09/1.27 apply (zenon_L924_); trivial. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H17 ]. % 1.09/1.27 apply (zenon_L773_); trivial. % 1.09/1.27 apply (zenon_L12_); trivial. % 1.09/1.27 (* end of lemma zenon_L1017_ *) % 1.09/1.27 assert (zenon_L1018_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp15)\/((hskp13)\/(hskp12))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H1 zenon_Hb zenon_Hd. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.09/1.27 apply (zenon_L7_); trivial. % 1.09/1.27 apply (zenon_L1017_); trivial. % 1.09/1.27 (* end of lemma zenon_L1018_ *) % 1.09/1.27 assert (zenon_L1019_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp5)) -> (~(hskp7)) -> False). % 1.09/1.27 do 0 intro. intros zenon_H5e zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H302 zenon_H301 zenon_H300 zenon_H11d zenon_He3 zenon_H11b. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H309 | zenon_intro zenon_H314 ]. % 1.09/1.27 apply (zenon_L924_); trivial. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H17 ]. % 1.09/1.27 apply (zenon_L773_); trivial. % 1.09/1.27 apply (zenon_L67_); trivial. % 1.09/1.27 (* end of lemma zenon_L1019_ *) % 1.09/1.27 assert (zenon_L1020_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H61 zenon_He3 zenon_H11b zenon_H11d zenon_Hd zenon_Hb zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.27 apply (zenon_L1018_); trivial. % 1.09/1.27 apply (zenon_L1019_); trivial. % 1.09/1.27 (* end of lemma zenon_L1020_ *) % 1.09/1.27 assert (zenon_L1021_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H61 zenon_H143 zenon_H144 zenon_H195 zenon_H11d zenon_H11b zenon_He8 zenon_H5c zenon_H174 zenon_H24b zenon_H1d6 zenon_H5b zenon_H10b zenon_He5 zenon_H4b zenon_He3 zenon_H106 zenon_Hf1 zenon_H123 zenon_Ha4 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1 zenon_Hd zenon_Hb zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.09/1.27 apply (zenon_L1018_); trivial. % 1.09/1.27 apply (zenon_L865_); trivial. % 1.09/1.27 (* end of lemma zenon_L1021_ *) % 1.09/1.27 assert (zenon_L1022_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H7 zenon_H3 zenon_H33 zenon_H1f8 zenon_H1e2 zenon_H146 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H1f1 zenon_H47 zenon_Ha4 zenon_H123 zenon_Hf1 zenon_H106 zenon_He3 zenon_H4b zenon_He5 zenon_H10b zenon_H5b zenon_H1d6 zenon_H24b zenon_H174 zenon_H5c zenon_He8 zenon_H11b zenon_H11d zenon_H195 zenon_H144 zenon_H143 zenon_H61. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.27 apply (zenon_L1021_); trivial. % 1.14/1.27 apply (zenon_L788_); trivial. % 1.14/1.27 (* end of lemma zenon_L1022_ *) % 1.14/1.27 assert (zenon_L1023_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H1a1 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H1fa zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_He8. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.27 apply (zenon_L174_); trivial. % 1.14/1.27 apply (zenon_L1017_); trivial. % 1.14/1.27 (* end of lemma zenon_L1023_ *) % 1.14/1.27 assert (zenon_L1024_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H252 zenon_H1a0 zenon_H1fa zenon_H22e zenon_He8 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H11d zenon_H11b zenon_He3 zenon_H61. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.27 apply (zenon_L1020_); trivial. % 1.14/1.27 apply (zenon_L1023_); trivial. % 1.14/1.27 (* end of lemma zenon_L1024_ *) % 1.14/1.27 assert (zenon_L1025_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (ndr1_0) -> (~(c3_1 (a534))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> False). % 1.14/1.27 do 0 intro. intros zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H302 zenon_H301 zenon_H300 zenon_H16 zenon_H142 zenon_H72 zenon_H134 zenon_H135. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H309 | zenon_intro zenon_H314 ]. % 1.14/1.27 apply (zenon_L924_); trivial. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H17 ]. % 1.14/1.27 apply (zenon_L773_); trivial. % 1.14/1.27 apply (zenon_L142_); trivial. % 1.14/1.27 (* end of lemma zenon_L1025_ *) % 1.14/1.27 assert (zenon_L1026_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a534))) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.14/1.27 do 0 intro. intros zenon_H1dc zenon_H300 zenon_H301 zenon_H302 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H198 zenon_H142 zenon_H135 zenon_Hda zenon_H134 zenon_H16 zenon_H3. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.14/1.27 apply (zenon_L1025_); trivial. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.14/1.27 apply (zenon_L74_); trivial. % 1.14/1.27 apply (zenon_L639_); trivial. % 1.14/1.27 (* end of lemma zenon_L1026_ *) % 1.14/1.27 assert (zenon_L1027_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (ndr1_0) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H83 zenon_H5b zenon_He8 zenon_H1d6 zenon_H24b zenon_H313 zenon_H135 zenon_H134 zenon_H142 zenon_H30c zenon_H30b zenon_H30a zenon_H198 zenon_H3 zenon_H1dc zenon_Hc7 zenon_Hc5 zenon_H242 zenon_H243 zenon_H244 zenon_H5c zenon_H4b zenon_H39 zenon_H3a zenon_H3b zenon_H276 zenon_H16 zenon_H300 zenon_H301 zenon_H302 zenon_H70 zenon_H6c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.14/1.27 apply (zenon_L796_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.27 apply (zenon_L890_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.14/1.27 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.14/1.27 apply (zenon_L775_); trivial. % 1.14/1.27 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.14/1.27 apply (zenon_L1026_); trivial. % 1.14/1.27 apply (zenon_L306_); trivial. % 1.14/1.27 (* end of lemma zenon_L1027_ *) % 1.14/1.27 assert (zenon_L1028_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (c2_1 (a558)) -> (~(c0_1 (a558))) -> (~(c3_1 (a558))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (~(hskp28)) -> (~(hskp6)) -> False). % 1.14/1.27 do 0 intro. intros zenon_H1e2 zenon_H87 zenon_H85 zenon_H86 zenon_H16 zenon_H153 zenon_Hf zenon_H3. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1de | zenon_intro zenon_H1e3 ]. % 1.14/1.27 apply (zenon_L544_); trivial. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H10 | zenon_intro zenon_H4 ]. % 1.14/1.27 exact (zenon_Hf zenon_H10). % 1.14/1.27 exact (zenon_H3 zenon_H4). % 1.14/1.27 (* end of lemma zenon_L1028_ *) % 1.14/1.27 assert (zenon_L1029_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (c2_1 (a558)) -> (~(c0_1 (a558))) -> (~(c3_1 (a558))) -> (forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a500)) -> (c2_1 (a500)) -> (c3_1 (a500)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp5)) -> False). % 1.14/1.27 do 0 intro. intros zenon_H1f8 zenon_H87 zenon_H85 zenon_H86 zenon_H153 zenon_H47 zenon_H16 zenon_H22 zenon_H23 zenon_H24 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_He3. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1de | zenon_intro zenon_H1f9 ]. % 1.14/1.27 apply (zenon_L544_); trivial. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H38 | zenon_intro zenon_He4 ]. % 1.14/1.27 apply (zenon_L774_); trivial. % 1.14/1.27 exact (zenon_He3 zenon_He4). % 1.14/1.27 (* end of lemma zenon_L1029_ *) % 1.14/1.27 assert (zenon_L1030_ : ((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (c2_1 (a558)) -> (~(c0_1 (a558))) -> (~(c3_1 (a558))) -> (~(hskp8)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp5)) -> False). % 1.14/1.27 do 0 intro. intros zenon_H2d zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H135 zenon_H134 zenon_H142 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H1f8 zenon_H87 zenon_H85 zenon_H86 zenon_H47 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_He3. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.14/1.27 apply (zenon_L184_); trivial. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.14/1.27 apply (zenon_L1025_); trivial. % 1.14/1.27 apply (zenon_L1029_); trivial. % 1.14/1.27 (* end of lemma zenon_L1030_ *) % 1.14/1.27 assert (zenon_L1031_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_Hbc zenon_H33 zenon_H1f1 zenon_H47 zenon_He3 zenon_H1f8 zenon_H242 zenon_H243 zenon_H244 zenon_H313 zenon_H135 zenon_H134 zenon_H142 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H1e2 zenon_H3 zenon_H276. % 1.14/1.27 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.14/1.27 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.14/1.27 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.14/1.27 apply (zenon_L184_); trivial. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.14/1.27 apply (zenon_L1025_); trivial. % 1.14/1.27 apply (zenon_L1028_); trivial. % 1.14/1.27 apply (zenon_L1030_); trivial. % 1.14/1.27 (* end of lemma zenon_L1031_ *) % 1.14/1.27 assert (zenon_L1032_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (c3_1 (a532)) -> (~(c1_1 (a532))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H13f zenon_Hc0 zenon_H33 zenon_He3 zenon_H1f8 zenon_H1e2 zenon_H1f1 zenon_H47 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H302 zenon_H301 zenon_H300 zenon_H276 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_Hc5 zenon_Hc7 zenon_H1dc zenon_H3 zenon_H198 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H24b zenon_H1d6 zenon_He8 zenon_H5b zenon_H83. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.27 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.27 apply (zenon_L1027_); trivial. % 1.14/1.27 apply (zenon_L1031_); trivial. % 1.14/1.27 (* end of lemma zenon_L1032_ *) % 1.14/1.27 assert (zenon_L1033_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_He7 zenon_H144 zenon_Hc0 zenon_H33 zenon_H1f8 zenon_H1e2 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H276 zenon_H3b zenon_H3a zenon_H39 zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H1dc zenon_H3 zenon_H198 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H24b zenon_H1d6 zenon_He8 zenon_H5b zenon_H83 zenon_H10b zenon_He5 zenon_H4b zenon_He3 zenon_H106 zenon_H1f1 zenon_H47 zenon_H302 zenon_H301 zenon_H300 zenon_Hf1 zenon_H123. % 1.14/1.27 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.27 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.27 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.27 apply (zenon_L783_); trivial. % 1.14/1.27 apply (zenon_L1032_); trivial. % 1.14/1.27 (* end of lemma zenon_L1033_ *) % 1.14/1.27 assert (zenon_L1034_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((hskp13)\/((hskp6)\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a527))/\((~(c1_1 (a527)))/\(~(c3_1 (a527))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H7 zenon_H146 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H1f1 zenon_H47 zenon_Ha4 zenon_H123 zenon_Hf1 zenon_H106 zenon_He3 zenon_H4b zenon_He5 zenon_H10b zenon_H83 zenon_H5b zenon_He8 zenon_H1d6 zenon_H24b zenon_H198 zenon_H3 zenon_H1dc zenon_H242 zenon_H243 zenon_H244 zenon_H5c zenon_H276 zenon_H70 zenon_H1e2 zenon_H1f8 zenon_H33 zenon_Hc0 zenon_H144 zenon_H143 zenon_H61. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.27 apply (zenon_L1018_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.27 apply (zenon_L786_); trivial. % 1.14/1.27 apply (zenon_L1033_); trivial. % 1.14/1.27 apply (zenon_L788_); trivial. % 1.14/1.27 (* end of lemma zenon_L1034_ *) % 1.14/1.27 assert (zenon_L1035_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H61 zenon_H5b zenon_H242 zenon_H243 zenon_H244 zenon_H5c zenon_H4b zenon_H2b zenon_Hb7 zenon_Hd zenon_Hb zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.27 apply (zenon_L1018_); trivial. % 1.14/1.27 apply (zenon_L186_); trivial. % 1.14/1.27 (* end of lemma zenon_L1035_ *) % 1.14/1.27 assert (zenon_L1036_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H252 zenon_H1a0 zenon_H1fa zenon_H22e zenon_He8 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_Hb7 zenon_H2b zenon_H4b zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H5b zenon_H61. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.27 apply (zenon_L1035_); trivial. % 1.14/1.27 apply (zenon_L1023_); trivial. % 1.14/1.27 (* end of lemma zenon_L1036_ *) % 1.14/1.27 assert (zenon_L1037_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H61 zenon_H5b zenon_H57 zenon_H47 zenon_H4b zenon_H5c zenon_Hd zenon_Hb zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.27 apply (zenon_L1018_); trivial. % 1.14/1.27 apply (zenon_L25_); trivial. % 1.14/1.27 (* end of lemma zenon_L1037_ *) % 1.14/1.27 assert (zenon_L1038_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H143 zenon_He8 zenon_He3 zenon_He5 zenon_H1da zenon_H2b zenon_H1f1 zenon_H260 zenon_H261 zenon_H262 zenon_Ha4 zenon_H1fa zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H5c zenon_H4b zenon_H47 zenon_H57 zenon_H5b zenon_H61. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.27 apply (zenon_L1037_); trivial. % 1.14/1.27 apply (zenon_L804_); trivial. % 1.14/1.27 (* end of lemma zenon_L1038_ *) % 1.14/1.27 assert (zenon_L1039_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp4)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/((hskp12)\/(hskp8))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H250 zenon_H23e zenon_H218 zenon_Hc3 zenon_H61 zenon_H5b zenon_H57 zenon_H4b zenon_H5c zenon_Hd zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36 zenon_H1f1 zenon_H27d zenon_H27e zenon_H27f zenon_Ha4 zenon_H11b zenon_H23c zenon_H143 zenon_H1a0. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.27 apply (zenon_L1037_); trivial. % 1.14/1.27 apply (zenon_L813_); trivial. % 1.14/1.27 apply (zenon_L296_); trivial. % 1.14/1.27 (* end of lemma zenon_L1039_ *) % 1.14/1.27 assert (zenon_L1040_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/(hskp2))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H1a1 zenon_H143 zenon_He8 zenon_H2b zenon_H1da zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.27 apply (zenon_L814_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.27 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.27 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.27 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.14/1.27 apply (zenon_L775_); trivial. % 1.14/1.27 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.14/1.27 apply (zenon_L155_); trivial. % 1.14/1.27 apply (zenon_L27_); trivial. % 1.14/1.27 (* end of lemma zenon_L1040_ *) % 1.14/1.27 assert (zenon_L1041_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H195 zenon_H173 zenon_H10b zenon_H22e zenon_H28f zenon_H2b2 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H174 zenon_H166 zenon_He8 zenon_H158 zenon_H192 zenon_H61. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.27 apply (zenon_L1018_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.27 apply (zenon_L359_); trivial. % 1.14/1.27 apply (zenon_L1017_); trivial. % 1.14/1.27 apply (zenon_L1023_); trivial. % 1.14/1.27 (* end of lemma zenon_L1041_ *) % 1.14/1.27 assert (zenon_L1042_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H251 zenon_H1a0 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H192 zenon_H184 zenon_H174 zenon_H158 zenon_H166 zenon_H173 zenon_H195 zenon_H61 zenon_He8 zenon_H16 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H11 zenon_H7f. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.27 apply (zenon_L333_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.27 apply (zenon_L1018_); trivial. % 1.14/1.27 apply (zenon_L94_); trivial. % 1.14/1.27 apply (zenon_L329_); trivial. % 1.14/1.27 (* end of lemma zenon_L1042_ *) % 1.14/1.27 assert (zenon_L1043_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H252 zenon_H23e zenon_H184 zenon_H251 zenon_H196 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H7f zenon_H61 zenon_H192 zenon_H158 zenon_H166 zenon_H174 zenon_H2b2 zenon_H28f zenon_H22e zenon_H10b zenon_H173 zenon_H195 zenon_Hd zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36 zenon_H1a0 zenon_H209. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.27 apply (zenon_L334_); trivial. % 1.14/1.27 apply (zenon_L1041_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.27 apply (zenon_L1042_); trivial. % 1.14/1.27 apply (zenon_L1041_); trivial. % 1.14/1.27 (* end of lemma zenon_L1043_ *) % 1.14/1.27 assert (zenon_L1044_ : ((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H27a zenon_H250 zenon_H23e zenon_H196 zenon_H61 zenon_H158 zenon_H2b2 zenon_H28f zenon_H22e zenon_H10b zenon_H173 zenon_Hd zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H36 zenon_H251 zenon_H195 zenon_H192 zenon_H184 zenon_H166 zenon_H174 zenon_H1c9 zenon_H29f zenon_H29e zenon_H29d zenon_H7f zenon_Ha4 zenon_H1fa zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_He8 zenon_H143 zenon_H1a0 zenon_H209. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.27 apply (zenon_L920_); trivial. % 1.14/1.27 apply (zenon_L1043_); trivial. % 1.14/1.27 (* end of lemma zenon_L1044_ *) % 1.14/1.27 assert (zenon_L1045_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H195 zenon_H173 zenon_H10b zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_H22e zenon_H28f zenon_H2b2 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H174 zenon_H166 zenon_He8 zenon_H158 zenon_H192 zenon_H61. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.27 apply (zenon_L1018_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.27 apply (zenon_L409_); trivial. % 1.14/1.27 apply (zenon_L1017_); trivial. % 1.14/1.27 apply (zenon_L1023_); trivial. % 1.14/1.27 (* end of lemma zenon_L1045_ *) % 1.14/1.27 assert (zenon_L1046_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (ndr1_0) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H250 zenon_H23e zenon_H251 zenon_H196 zenon_He8 zenon_H1fa zenon_H7f zenon_H61 zenon_H192 zenon_H158 zenon_H166 zenon_H174 zenon_H2b2 zenon_H28f zenon_H22e zenon_H10b zenon_H173 zenon_H195 zenon_Hd zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H36 zenon_H209 zenon_H1c9 zenon_H29f zenon_H29e zenon_H29d zenon_H16 zenon_H1f1 zenon_H27d zenon_H27e zenon_H27f zenon_Ha4 zenon_H302 zenon_H301 zenon_H300 zenon_H11b zenon_H23c zenon_H143 zenon_H1a0. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.28 apply (zenon_L314_); trivial. % 1.14/1.28 apply (zenon_L813_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.28 apply (zenon_L334_); trivial. % 1.14/1.28 apply (zenon_L1045_); trivial. % 1.14/1.28 apply (zenon_L295_); trivial. % 1.14/1.28 (* end of lemma zenon_L1046_ *) % 1.14/1.28 assert (zenon_L1047_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(hskp24)) -> (ndr1_0) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(hskp22)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_He8 zenon_H166 zenon_H156 zenon_H16 zenon_H3b zenon_H39 zenon_H3a zenon_H14b zenon_H14c zenon_H158 zenon_H164. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.14/1.28 apply (zenon_L184_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.14/1.28 apply (zenon_L332_); trivial. % 1.14/1.28 apply (zenon_L84_); trivial. % 1.14/1.28 (* end of lemma zenon_L1047_ *) % 1.14/1.28 assert (zenon_L1048_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H251 zenon_H1a0 zenon_H22e zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H173 zenon_H242 zenon_H243 zenon_H244 zenon_H166 zenon_H158 zenon_H276 zenon_H184 zenon_H192 zenon_H61 zenon_He8 zenon_H16 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H11 zenon_H7f. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.28 apply (zenon_L333_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.28 apply (zenon_L1018_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.14/1.28 apply (zenon_L1047_); trivial. % 1.14/1.28 apply (zenon_L736_); trivial. % 1.14/1.28 apply (zenon_L90_); trivial. % 1.14/1.28 apply (zenon_L1023_); trivial. % 1.14/1.28 (* end of lemma zenon_L1048_ *) % 1.14/1.28 assert (zenon_L1049_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H192 zenon_H10b zenon_H22e zenon_H28f zenon_H2b2 zenon_H158 zenon_H242 zenon_H243 zenon_H244 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H166 zenon_H276 zenon_H173 zenon_H61. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.28 apply (zenon_L1018_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.14/1.28 apply (zenon_L737_); trivial. % 1.14/1.28 apply (zenon_L356_); trivial. % 1.14/1.28 apply (zenon_L1017_); trivial. % 1.14/1.28 apply (zenon_L1023_); trivial. % 1.14/1.28 (* end of lemma zenon_L1049_ *) % 1.14/1.28 assert (zenon_L1050_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H252 zenon_H209 zenon_H10b zenon_H28f zenon_H2b2 zenon_H7f zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H61 zenon_H192 zenon_H184 zenon_H276 zenon_H158 zenon_H166 zenon_H244 zenon_H243 zenon_H242 zenon_H173 zenon_Hd zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36 zenon_H22e zenon_H1a0 zenon_H251. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.28 apply (zenon_L1048_); trivial. % 1.14/1.28 apply (zenon_L1049_); trivial. % 1.14/1.28 (* end of lemma zenon_L1050_ *) % 1.14/1.28 assert (zenon_L1051_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H61 zenon_H291 zenon_H4b zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_Hd zenon_Hb zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.28 apply (zenon_L1018_); trivial. % 1.14/1.28 apply (zenon_L424_); trivial. % 1.14/1.28 (* end of lemma zenon_L1051_ *) % 1.14/1.28 assert (zenon_L1052_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c0_1 (a497))) -> (~(c1_1 (a497))) -> (c2_1 (a497)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H252 zenon_H1a0 zenon_H1fa zenon_H22e zenon_He8 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H4b zenon_H291 zenon_H61. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.28 apply (zenon_L1051_); trivial. % 1.14/1.28 apply (zenon_L1023_); trivial. % 1.14/1.28 (* end of lemma zenon_L1052_ *) % 1.14/1.28 assert (zenon_L1053_ : ((~(hskp5))\/((ndr1_0)/\((c0_1 (a499))/\((c2_1 (a499))/\(~(c1_1 (a499))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> (ndr1_0) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H2ce zenon_H250 zenon_H1a0 zenon_H1fa zenon_H22e zenon_He8 zenon_H36 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H4b zenon_H291 zenon_H61 zenon_H1e2 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H16 zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_H1f8 zenon_H33 zenon_He5 zenon_H278. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.28 apply (zenon_L830_); trivial. % 1.14/1.28 apply (zenon_L1052_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.28 apply (zenon_L1051_); trivial. % 1.14/1.28 apply (zenon_L842_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.28 apply (zenon_L846_); trivial. % 1.14/1.28 apply (zenon_L1052_); trivial. % 1.14/1.28 (* end of lemma zenon_L1053_ *) % 1.14/1.28 assert (zenon_L1054_ : ((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a497)) -> (~(c1_1 (a497))) -> (~(c0_1 (a497))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H255 zenon_H250 zenon_H209 zenon_H10b zenon_H28f zenon_H2b2 zenon_H7f zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H61 zenon_H192 zenon_H184 zenon_H276 zenon_H158 zenon_H166 zenon_H173 zenon_Hd zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H36 zenon_H22e zenon_H1a0 zenon_H251 zenon_H1e2 zenon_H3 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H1f1 zenon_H302 zenon_H301 zenon_H300 zenon_H2b zenon_Hb7 zenon_H33. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.28 apply (zenon_L851_); trivial. % 1.14/1.28 apply (zenon_L1050_); trivial. % 1.14/1.28 (* end of lemma zenon_L1054_ *) % 1.14/1.28 assert (zenon_L1055_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a510)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70)))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H2b2 zenon_H14c zenon_H14a zenon_H14b zenon_H159 zenon_H20d zenon_H20c zenon_Hf3 zenon_H16 zenon_Hef. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H10c | zenon_intro zenon_H2b3 ]. % 1.14/1.28 apply (zenon_L454_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2ae | zenon_intro zenon_Hf0 ]. % 1.14/1.28 apply (zenon_L344_); trivial. % 1.14/1.28 exact (zenon_Hef zenon_Hf0). % 1.14/1.28 (* end of lemma zenon_L1055_ *) % 1.14/1.28 assert (zenon_L1056_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (c0_1 (a538)) -> (~(c3_1 (a538))) -> (~(c1_1 (a538))) -> (~(hskp29)) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (c0_1 (a510)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(hskp22)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H166 zenon_H18a zenon_H189 zenon_H188 zenon_Hef zenon_H16 zenon_Hf3 zenon_H20c zenon_H20d zenon_H14b zenon_H14a zenon_H14c zenon_H2b2 zenon_H164. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H37 | zenon_intro zenon_H167 ]. % 1.14/1.28 apply (zenon_L91_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H159 | zenon_intro zenon_H165 ]. % 1.14/1.28 apply (zenon_L1055_); trivial. % 1.14/1.28 exact (zenon_H164 zenon_H165). % 1.14/1.28 (* end of lemma zenon_L1056_ *) % 1.14/1.28 assert (zenon_L1057_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a510)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(hskp29)) -> (~(c1_1 (a538))) -> (~(c3_1 (a538))) -> (c0_1 (a538)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c0_1 (a505))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a498))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H23c zenon_H164 zenon_H2b2 zenon_H14c zenon_H14a zenon_H14b zenon_H20d zenon_H20c zenon_Hef zenon_H188 zenon_H189 zenon_H18a zenon_H166 zenon_H20b zenon_H1fa zenon_H29e zenon_H29f zenon_H29d zenon_H28f zenon_H27f zenon_H27e zenon_H27d zenon_H16 zenon_H11b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.14/1.28 apply (zenon_L331_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.14/1.28 apply (zenon_L172_); trivial. % 1.14/1.28 apply (zenon_L1056_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.14/1.28 apply (zenon_L256_); trivial. % 1.14/1.28 exact (zenon_H11b zenon_H11c). % 1.14/1.28 (* end of lemma zenon_L1057_ *) % 1.14/1.28 assert (zenon_L1058_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (c0_1 (a510)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H191 zenon_H192 zenon_H184 zenon_H11 zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_H166 zenon_H14b zenon_H14a zenon_H14c zenon_H2b2 zenon_H28f zenon_H9 zenon_H22e zenon_H10b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.28 apply (zenon_L1057_); trivial. % 1.14/1.28 apply (zenon_L405_); trivial. % 1.14/1.28 apply (zenon_L90_); trivial. % 1.14/1.28 (* end of lemma zenon_L1058_ *) % 1.14/1.28 assert (zenon_L1059_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H251 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H174 zenon_H262 zenon_H261 zenon_H260 zenon_H10b zenon_H22e zenon_H28f zenon_H2b2 zenon_H166 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c zenon_H184 zenon_H192 zenon_H195 zenon_He8 zenon_H16 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H11 zenon_H7f. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.28 apply (zenon_L333_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.28 apply (zenon_L233_); trivial. % 1.14/1.28 apply (zenon_L1058_); trivial. % 1.14/1.28 apply (zenon_L1017_); trivial. % 1.14/1.28 (* end of lemma zenon_L1059_ *) % 1.14/1.28 assert (zenon_L1060_ : ((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501)))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H27a zenon_H279 zenon_H276 zenon_H209 zenon_H23c zenon_H27f zenon_H27e zenon_H27d zenon_H1a0 zenon_H143 zenon_He8 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H1fa zenon_Ha4 zenon_H7f zenon_H29d zenon_H29e zenon_H29f zenon_H1c9 zenon_H174 zenon_H166 zenon_H184 zenon_H192 zenon_H195 zenon_H251 zenon_H36 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H10b zenon_H22e zenon_H28f zenon_H2b2 zenon_H61 zenon_H158 zenon_H173 zenon_Hd zenon_H250. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.28 apply (zenon_L918_); trivial. % 1.14/1.28 apply (zenon_L815_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.28 apply (zenon_L1059_); trivial. % 1.14/1.28 apply (zenon_L1045_); trivial. % 1.14/1.28 apply (zenon_L923_); trivial. % 1.14/1.28 (* end of lemma zenon_L1060_ *) % 1.14/1.28 assert (zenon_L1061_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H61 zenon_H195 zenon_H7f zenon_H7c zenon_H11 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H174 zenon_H24b zenon_H1d6 zenon_H5b zenon_Hd zenon_Hb zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.28 apply (zenon_L1018_); trivial. % 1.14/1.28 apply (zenon_L499_); trivial. % 1.14/1.28 (* end of lemma zenon_L1061_ *) % 1.14/1.28 assert (zenon_L1062_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H13f zenon_H7f zenon_H300 zenon_H301 zenon_H302 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H11 zenon_H7c. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 1.14/1.28 apply (zenon_L1025_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 1.14/1.28 exact (zenon_H11 zenon_H12). % 1.14/1.28 exact (zenon_H7c zenon_H7d). % 1.14/1.28 (* end of lemma zenon_L1062_ *) % 1.14/1.28 assert (zenon_L1063_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H144 zenon_H7f zenon_H7c zenon_H11 zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.28 apply (zenon_L476_); trivial. % 1.14/1.28 apply (zenon_L1062_); trivial. % 1.14/1.28 (* end of lemma zenon_L1063_ *) % 1.14/1.28 assert (zenon_L1064_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H1a0 zenon_H1fc zenon_H1fa zenon_He3 zenon_He5 zenon_H1c3 zenon_H144 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H5b zenon_H1d6 zenon_H24b zenon_H174 zenon_H4b zenon_H5c zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H11 zenon_H7c zenon_H7f zenon_H195 zenon_H61. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.28 apply (zenon_L1061_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.28 apply (zenon_L1063_); trivial. % 1.14/1.28 apply (zenon_L148_); trivial. % 1.14/1.28 (* end of lemma zenon_L1064_ *) % 1.14/1.28 assert (zenon_L1065_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H61 zenon_H195 zenon_H174 zenon_H4b zenon_H5c zenon_H14c zenon_H14b zenon_H14a zenon_H1d6 zenon_H24b zenon_H5b zenon_Hd zenon_Hb zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.28 apply (zenon_L1018_); trivial. % 1.14/1.28 apply (zenon_L198_); trivial. % 1.14/1.28 (* end of lemma zenon_L1065_ *) % 1.14/1.28 assert (zenon_L1066_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp6)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H198 zenon_H135 zenon_H134 zenon_H142 zenon_H17 zenon_Hc1 zenon_H16 zenon_H14a zenon_H14b zenon_H14c zenon_H63 zenon_H64 zenon_H196 zenon_H3. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H72 | zenon_intro zenon_H199 ]. % 1.14/1.28 apply (zenon_L142_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H4 ]. % 1.14/1.28 apply (zenon_L96_); trivial. % 1.14/1.28 exact (zenon_H3 zenon_H4). % 1.14/1.28 (* end of lemma zenon_L1066_ *) % 1.14/1.28 assert (zenon_L1067_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp9)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp6)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H13f zenon_H1dc zenon_H300 zenon_H301 zenon_H302 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H198 zenon_Hc1 zenon_H14a zenon_H14b zenon_H14c zenon_H63 zenon_H64 zenon_H196 zenon_H3. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.14/1.28 apply (zenon_L1025_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.14/1.28 apply (zenon_L96_); trivial. % 1.14/1.28 apply (zenon_L1066_); trivial. % 1.14/1.28 (* end of lemma zenon_L1067_ *) % 1.14/1.28 assert (zenon_L1068_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H144 zenon_H1dc zenon_H3 zenon_H198 zenon_H63 zenon_H64 zenon_H14a zenon_H14b zenon_H14c zenon_Hc1 zenon_H196 zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.28 apply (zenon_L476_); trivial. % 1.14/1.28 apply (zenon_L1067_); trivial. % 1.14/1.28 (* end of lemma zenon_L1068_ *) % 1.14/1.28 assert (zenon_L1069_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H251 zenon_H196 zenon_Hc1 zenon_H198 zenon_H3 zenon_H1dc zenon_H61 zenon_H195 zenon_H7f zenon_H11 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H174 zenon_H24b zenon_H1d6 zenon_H5b zenon_Hd zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36 zenon_H144 zenon_H1c3 zenon_He5 zenon_He3 zenon_H1fa zenon_H1fc zenon_H1a0. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.28 apply (zenon_L1064_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.28 apply (zenon_L1065_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.28 apply (zenon_L1068_); trivial. % 1.14/1.28 apply (zenon_L148_); trivial. % 1.14/1.28 (* end of lemma zenon_L1069_ *) % 1.14/1.28 assert (zenon_L1070_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_He8 zenon_He3 zenon_He5 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H5b zenon_H24b zenon_H1d6 zenon_H5c zenon_H4b zenon_H174 zenon_H195 zenon_H61. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.28 apply (zenon_L1065_); trivial. % 1.14/1.28 apply (zenon_L151_); trivial. % 1.14/1.28 (* end of lemma zenon_L1070_ *) % 1.14/1.28 assert (zenon_L1071_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp5)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H1f1 zenon_H47 zenon_Ha4 zenon_H123 zenon_Hf1 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H106 zenon_He3 zenon_H4b zenon_He5 zenon_H10b zenon_H5b zenon_H1d6 zenon_H24b zenon_H174 zenon_H5c zenon_He8 zenon_H11b zenon_H11d zenon_H195 zenon_H144 zenon_H143 zenon_H61. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.28 apply (zenon_L1018_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.28 apply (zenon_L786_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.28 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.28 apply (zenon_L806_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.28 apply (zenon_L567_); trivial. % 1.14/1.28 apply (zenon_L864_); trivial. % 1.14/1.28 apply (zenon_L365_); trivial. % 1.14/1.28 apply (zenon_L151_); trivial. % 1.14/1.28 (* end of lemma zenon_L1071_ *) % 1.14/1.28 assert (zenon_L1072_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_H1fa zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_He8 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H5b zenon_H24b zenon_H1d6 zenon_H5c zenon_H4b zenon_H174 zenon_H195 zenon_H61. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.28 apply (zenon_L1065_); trivial. % 1.14/1.28 apply (zenon_L1023_); trivial. % 1.14/1.28 (* end of lemma zenon_L1072_ *) % 1.14/1.28 assert (zenon_L1073_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H251 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_He8 zenon_H61 zenon_H195 zenon_H7f zenon_H11 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H174 zenon_H24b zenon_H1d6 zenon_H5b zenon_Hd zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36 zenon_H144 zenon_H1c3 zenon_He5 zenon_He3 zenon_H1fa zenon_H1fc zenon_H1a0. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.28 apply (zenon_L1064_); trivial. % 1.14/1.28 apply (zenon_L1072_); trivial. % 1.14/1.28 (* end of lemma zenon_L1073_ *) % 1.14/1.28 assert (zenon_L1074_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a534))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp15)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(c0_1 (a505))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H28f zenon_H142 zenon_H300 zenon_H301 zenon_H302 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H1fa zenon_H9 zenon_H134 zenon_H135 zenon_H22e zenon_H20b zenon_Hc4 zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H20d zenon_H20c zenon_H16 zenon_Hef. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.14/1.28 apply (zenon_L1025_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.14/1.28 apply (zenon_L172_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.14/1.28 apply (zenon_L507_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.14/1.28 apply (zenon_L172_); trivial. % 1.14/1.28 apply (zenon_L345_); trivial. % 1.14/1.28 (* end of lemma zenon_L1074_ *) % 1.14/1.28 assert (zenon_L1075_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp29)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(c3_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp4)) -> (~(hskp31)) -> (ndr1_0) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp21)) -> False). % 1.14/1.28 do 0 intro. intros zenon_He8 zenon_Hef zenon_H2b2 zenon_H1fa zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H302 zenon_H301 zenon_H300 zenon_H142 zenon_H28f zenon_H9 zenon_H134 zenon_H135 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H174 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H4b zenon_H49 zenon_H16 zenon_H3b zenon_H3a zenon_H39 zenon_H5c zenon_H168. % 1.14/1.28 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.14/1.28 apply (zenon_L1074_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.14/1.28 apply (zenon_L507_); trivial. % 1.14/1.28 apply (zenon_L504_); trivial. % 1.14/1.28 (* end of lemma zenon_L1075_ *) % 1.14/1.28 assert (zenon_L1076_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp29)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(c3_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp3)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H56 zenon_He8 zenon_Hef zenon_H2b2 zenon_H1fa zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H302 zenon_H301 zenon_H300 zenon_H142 zenon_H28f zenon_H9 zenon_H134 zenon_H135 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H24b zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1d6. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.14/1.28 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.14/1.28 apply (zenon_L1074_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.14/1.28 apply (zenon_L507_); trivial. % 1.14/1.28 apply (zenon_L306_); trivial. % 1.14/1.28 (* end of lemma zenon_L1076_ *) % 1.14/1.28 assert (zenon_L1077_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c0_1 (a504)) -> (c3_1 (a504)) -> (c1_1 (a504)) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H28f zenon_H135 zenon_H134 zenon_H142 zenon_H300 zenon_H301 zenon_H302 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_Hc4 zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_Hf6 zenon_Hf5 zenon_Hf4 zenon_H16 zenon_H9. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.14/1.28 apply (zenon_L1025_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.14/1.28 apply (zenon_L172_); trivial. % 1.14/1.28 apply (zenon_L349_); trivial. % 1.14/1.28 (* end of lemma zenon_L1077_ *) % 1.14/1.28 assert (zenon_L1078_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a504)) -> (c3_1 (a504)) -> (c0_1 (a504)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(c3_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp3)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H56 zenon_He8 zenon_Hf4 zenon_Hf5 zenon_Hf6 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H302 zenon_H301 zenon_H300 zenon_H142 zenon_H28f zenon_H9 zenon_H134 zenon_H135 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H24b zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1d6. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.14/1.28 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.14/1.28 apply (zenon_L1077_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.14/1.28 apply (zenon_L507_); trivial. % 1.14/1.28 apply (zenon_L306_); trivial. % 1.14/1.28 (* end of lemma zenon_L1078_ *) % 1.14/1.28 assert (zenon_L1079_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c3_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H108 zenon_H5b zenon_H1d6 zenon_H24b zenon_H28f zenon_H9 zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H142 zenon_H134 zenon_H135 zenon_H313 zenon_H174 zenon_H168 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_He8. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.14/1.28 apply (zenon_L1077_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.14/1.28 apply (zenon_L507_); trivial. % 1.14/1.28 apply (zenon_L504_); trivial. % 1.14/1.28 apply (zenon_L1078_); trivial. % 1.14/1.28 (* end of lemma zenon_L1079_ *) % 1.14/1.28 assert (zenon_L1080_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a538))) -> (~(c3_1 (a538))) -> (c0_1 (a538)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H108 zenon_H5b zenon_He8 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H1d6 zenon_H24b zenon_H313 zenon_H135 zenon_H134 zenon_H142 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H9 zenon_H28f zenon_H188 zenon_H189 zenon_H18a zenon_H4b zenon_H5c. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.28 apply (zenon_L196_); trivial. % 1.14/1.28 apply (zenon_L1078_); trivial. % 1.14/1.28 (* end of lemma zenon_L1080_ *) % 1.14/1.28 assert (zenon_L1081_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c3_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H191 zenon_H10b zenon_H5c zenon_H4b zenon_H28f zenon_H22e zenon_H9 zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H142 zenon_H134 zenon_H135 zenon_H313 zenon_H24b zenon_H1d6 zenon_He8 zenon_H5b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.28 apply (zenon_L196_); trivial. % 1.14/1.28 apply (zenon_L1076_); trivial. % 1.14/1.28 apply (zenon_L1080_); trivial. % 1.14/1.28 (* end of lemma zenon_L1081_ *) % 1.14/1.28 assert (zenon_L1082_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H13f zenon_H195 zenon_H5b zenon_H1d6 zenon_H24b zenon_H28f zenon_H22e zenon_H9 zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H174 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_He8 zenon_H10b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.28 apply (zenon_L1075_); trivial. % 1.14/1.28 apply (zenon_L1076_); trivial. % 1.14/1.28 apply (zenon_L1079_); trivial. % 1.14/1.28 apply (zenon_L1081_); trivial. % 1.14/1.28 (* end of lemma zenon_L1082_ *) % 1.14/1.28 assert (zenon_L1083_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H144 zenon_H195 zenon_H5b zenon_H1d6 zenon_H24b zenon_H28f zenon_H22e zenon_H9 zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H174 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_He8 zenon_H10b zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.28 apply (zenon_L476_); trivial. % 1.14/1.28 apply (zenon_L1082_); trivial. % 1.14/1.28 (* end of lemma zenon_L1083_ *) % 1.14/1.28 assert (zenon_L1084_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c3_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a530)) -> (c2_1 (a530)) -> (~(c1_1 (a530))) -> (ndr1_0) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H10b zenon_H5b zenon_H24b zenon_H28f zenon_H9 zenon_H22e zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H142 zenon_H134 zenon_H135 zenon_H313 zenon_H174 zenon_H168 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_He8 zenon_H2b2 zenon_H223 zenon_H21c zenon_H21b zenon_H16 zenon_H20b zenon_H20c zenon_H20d zenon_H1d6 zenon_H228. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.28 apply (zenon_L522_); trivial. % 1.14/1.28 apply (zenon_L1079_); trivial. % 1.14/1.28 (* end of lemma zenon_L1084_ *) % 1.14/1.28 assert (zenon_L1085_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H13f zenon_H195 zenon_H1fa zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H21b zenon_H21c zenon_H223 zenon_H2b2 zenon_He8 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H5c zenon_H4b zenon_H39 zenon_H3a zenon_H3b zenon_H174 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H22e zenon_H9 zenon_H28f zenon_H24b zenon_H5b zenon_H10b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.28 apply (zenon_L1084_); trivial. % 1.14/1.28 apply (zenon_L1081_); trivial. % 1.14/1.28 (* end of lemma zenon_L1085_ *) % 1.14/1.28 assert (zenon_L1086_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H144 zenon_H195 zenon_H1fa zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H21b zenon_H21c zenon_H223 zenon_H2b2 zenon_He8 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H5c zenon_H4b zenon_H39 zenon_H3a zenon_H3b zenon_H174 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H22e zenon_H9 zenon_H28f zenon_H24b zenon_H5b zenon_H10b zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.28 apply (zenon_L476_); trivial. % 1.14/1.28 apply (zenon_L1085_); trivial. % 1.14/1.28 (* end of lemma zenon_L1086_ *) % 1.14/1.28 assert (zenon_L1087_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H61 zenon_H1fc zenon_H216 zenon_H33 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H10b zenon_He8 zenon_H5c zenon_H4b zenon_H174 zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H2b2 zenon_H22e zenon_H28f zenon_H24b zenon_H1d6 zenon_H5b zenon_H195 zenon_H144 zenon_H228 zenon_H22a zenon_Hd zenon_Hb zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.28 apply (zenon_L1018_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.28 apply (zenon_L1083_); trivial. % 1.14/1.28 apply (zenon_L520_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.28 apply (zenon_L1086_); trivial. % 1.14/1.28 apply (zenon_L524_); trivial. % 1.14/1.28 apply (zenon_L1017_); trivial. % 1.14/1.28 (* end of lemma zenon_L1087_ *) % 1.14/1.28 assert (zenon_L1088_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H5e zenon_H195 zenon_H276 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H174 zenon_H244 zenon_H243 zenon_H242 zenon_H24b zenon_H1d6 zenon_H11 zenon_H7c zenon_H7f zenon_H5b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.28 apply (zenon_L630_); trivial. % 1.14/1.28 apply (zenon_L497_); trivial. % 1.14/1.28 apply (zenon_L498_); trivial. % 1.14/1.28 (* end of lemma zenon_L1088_ *) % 1.14/1.28 assert (zenon_L1089_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H61 zenon_H195 zenon_H276 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H174 zenon_H244 zenon_H243 zenon_H242 zenon_H24b zenon_H1d6 zenon_H11 zenon_H7c zenon_H7f zenon_H5b zenon_Hd zenon_Hb zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.28 apply (zenon_L1018_); trivial. % 1.14/1.28 apply (zenon_L1088_); trivial. % 1.14/1.28 (* end of lemma zenon_L1089_ *) % 1.14/1.28 assert (zenon_L1090_ : ((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp28)\/(hskp6))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/((hskp5)\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a568))/\((c3_1 (a568))/\(~(c1_1 (a568))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_He7 zenon_H144 zenon_Hc0 zenon_H33 zenon_H1f8 zenon_H1e2 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H70 zenon_H276 zenon_H3b zenon_H3a zenon_H39 zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H1dc zenon_H3 zenon_H198 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H24b zenon_H1d6 zenon_He8 zenon_H5b zenon_H83 zenon_H10b zenon_He5 zenon_H4b zenon_He3 zenon_H106 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H47 zenon_Hf1 zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H123. % 1.14/1.28 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.28 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.28 apply (zenon_L806_); trivial. % 1.14/1.28 apply (zenon_L1032_); trivial. % 1.14/1.28 (* end of lemma zenon_L1090_ *) % 1.14/1.28 assert (zenon_L1091_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H251 zenon_H61 zenon_H1fc zenon_H195 zenon_H216 zenon_H20d zenon_H20c zenon_H20b zenon_H5b zenon_H28f zenon_H2b2 zenon_H1d6 zenon_H24b zenon_H242 zenon_H243 zenon_H244 zenon_H174 zenon_H4b zenon_H5c zenon_H276 zenon_H22e zenon_H10b zenon_H33 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H11 zenon_H7f zenon_H144 zenon_H228 zenon_H22a zenon_Hd zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36 zenon_He8 zenon_H1fa zenon_H1a0. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.28 apply (zenon_L1018_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.28 apply (zenon_L1063_); trivial. % 1.14/1.28 apply (zenon_L633_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.29 apply (zenon_L1063_); trivial. % 1.14/1.29 apply (zenon_L634_); trivial. % 1.14/1.29 apply (zenon_L1017_); trivial. % 1.14/1.29 apply (zenon_L1023_); trivial. % 1.14/1.29 apply (zenon_L1072_); trivial. % 1.14/1.29 (* end of lemma zenon_L1091_ *) % 1.14/1.29 assert (zenon_L1092_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(hskp29)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (ndr1_0) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H5b zenon_He8 zenon_H1d6 zenon_H24b zenon_H313 zenon_H135 zenon_H134 zenon_H142 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_Hef zenon_H2b2 zenon_H9 zenon_H22e zenon_H28f zenon_H16 zenon_H242 zenon_H243 zenon_H244 zenon_H174 zenon_H168 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H276. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.29 apply (zenon_L630_); trivial. % 1.14/1.29 apply (zenon_L1076_); trivial. % 1.14/1.29 (* end of lemma zenon_L1092_ *) % 1.14/1.29 assert (zenon_L1093_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H108 zenon_H5b zenon_He8 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H1d6 zenon_H24b zenon_H313 zenon_H135 zenon_H134 zenon_H142 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H9 zenon_H28f zenon_H242 zenon_H243 zenon_H244 zenon_H174 zenon_H168 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H276. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.29 apply (zenon_L630_); trivial. % 1.14/1.29 apply (zenon_L1078_); trivial. % 1.14/1.29 (* end of lemma zenon_L1093_ *) % 1.14/1.29 assert (zenon_L1094_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a530))/\((c3_1 (a530))/\(~(c1_1 (a530))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H252 zenon_H209 zenon_H1a0 zenon_H1fa zenon_He8 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H22a zenon_H228 zenon_H144 zenon_H7f zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H33 zenon_H10b zenon_H22e zenon_H276 zenon_H5c zenon_H4b zenon_H174 zenon_H244 zenon_H243 zenon_H242 zenon_H24b zenon_H1d6 zenon_H2b2 zenon_H28f zenon_H5b zenon_H216 zenon_H195 zenon_H1fc zenon_H61 zenon_H251. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.29 apply (zenon_L1091_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.29 apply (zenon_L1018_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.29 apply (zenon_L476_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.29 apply (zenon_L1092_); trivial. % 1.14/1.29 apply (zenon_L1093_); trivial. % 1.14/1.29 apply (zenon_L1081_); trivial. % 1.14/1.29 apply (zenon_L633_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.29 apply (zenon_L476_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.29 apply (zenon_L522_); trivial. % 1.14/1.29 apply (zenon_L1093_); trivial. % 1.14/1.29 apply (zenon_L1081_); trivial. % 1.14/1.29 apply (zenon_L634_); trivial. % 1.14/1.29 apply (zenon_L1017_); trivial. % 1.14/1.29 apply (zenon_L1023_); trivial. % 1.14/1.29 (* end of lemma zenon_L1094_ *) % 1.14/1.29 assert (zenon_L1095_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (c2_1 (a558)) -> (~(c0_1 (a558))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c3_1 (a558))) -> (ndr1_0) -> (~(hskp21)) -> False). % 1.14/1.29 do 0 intro. intros zenon_H174 zenon_H14c zenon_H14b zenon_H14a zenon_H87 zenon_H85 zenon_H1de zenon_H86 zenon_H16 zenon_H168. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H176 ]. % 1.14/1.29 apply (zenon_L79_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H153 | zenon_intro zenon_H169 ]. % 1.14/1.29 apply (zenon_L544_); trivial. % 1.14/1.29 exact (zenon_H168 zenon_H169). % 1.14/1.29 (* end of lemma zenon_L1095_ *) % 1.14/1.29 assert (zenon_L1096_ : ((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp21)) -> (~(c1_1 (a510))) -> (~(c2_1 (a510))) -> (c0_1 (a510)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp8)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp4)) -> False). % 1.14/1.29 do 0 intro. intros zenon_Hbc zenon_H291 zenon_H168 zenon_H14a zenon_H14b zenon_H14c zenon_H174 zenon_H47 zenon_H27d zenon_H27e zenon_H27f zenon_H300 zenon_H301 zenon_H302 zenon_H1f1 zenon_H4b. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H16. zenon_intro zenon_Hbe. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H87. zenon_intro zenon_Hbf. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H85. zenon_intro zenon_H86. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.14/1.29 apply (zenon_L1095_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.14/1.29 apply (zenon_L845_); trivial. % 1.14/1.29 exact (zenon_H4b zenon_H4c). % 1.14/1.29 (* end of lemma zenon_L1096_ *) % 1.14/1.29 assert (zenon_L1097_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_Hc0 zenon_H291 zenon_H4b zenon_H300 zenon_H301 zenon_H302 zenon_H27d zenon_H27e zenon_H27f zenon_H47 zenon_H1f1 zenon_H168 zenon_H174 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_H196 zenon_Hc1 zenon_H14c zenon_H14b zenon_H14a zenon_H3 zenon_H198 zenon_H83. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.29 apply (zenon_L98_); trivial. % 1.14/1.29 apply (zenon_L1096_); trivial. % 1.14/1.29 (* end of lemma zenon_L1097_ *) % 1.14/1.29 assert (zenon_L1098_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_H192 zenon_H184 zenon_H11 zenon_H166 zenon_H83 zenon_H198 zenon_H3 zenon_Hc1 zenon_H196 zenon_H70 zenon_H1f1 zenon_H47 zenon_H27f zenon_H27e zenon_H27d zenon_H291 zenon_Hc0 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H5b zenon_H24b zenon_H1d6 zenon_H5c zenon_H4b zenon_H174 zenon_H195 zenon_H61. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.29 apply (zenon_L1065_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.29 apply (zenon_L1097_); trivial. % 1.14/1.29 apply (zenon_L794_); trivial. % 1.14/1.29 (* end of lemma zenon_L1098_ *) % 1.14/1.29 assert (zenon_L1099_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp29)) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a505))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp4)) -> (~(hskp31)) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp21)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.14/1.29 do 0 intro. intros zenon_H23c zenon_Hef zenon_H20c zenon_H20d zenon_Hc7 zenon_Hc5 zenon_H2b2 zenon_H20b zenon_H174 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H4b zenon_H49 zenon_H3b zenon_H3a zenon_H39 zenon_H5c zenon_H168 zenon_H28f zenon_H27f zenon_H27e zenon_H27d zenon_H16 zenon_H11b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.14/1.29 apply (zenon_L503_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.14/1.29 apply (zenon_L256_); trivial. % 1.14/1.29 exact (zenon_H11b zenon_H11c). % 1.14/1.29 (* end of lemma zenon_L1099_ *) % 1.14/1.29 assert (zenon_L1100_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp29)) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a505))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp7)) -> False). % 1.14/1.29 do 0 intro. intros zenon_H56 zenon_H23c zenon_Hef zenon_H20c zenon_H20d zenon_Hc7 zenon_Hc5 zenon_H2b2 zenon_H20b zenon_H24b zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1d6 zenon_H28f zenon_H27f zenon_H27e zenon_H27d zenon_H11b. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.14/1.29 apply (zenon_L506_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.14/1.29 apply (zenon_L256_); trivial. % 1.14/1.29 exact (zenon_H11b zenon_H11c). % 1.14/1.29 (* end of lemma zenon_L1100_ *) % 1.14/1.29 assert (zenon_L1101_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp15)) -> (c1_1 (a504)) -> (c3_1 (a504)) -> (c0_1 (a504)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp7)) -> False). % 1.14/1.29 do 0 intro. intros zenon_H56 zenon_H23c zenon_H9 zenon_Hf4 zenon_Hf5 zenon_Hf6 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H24b zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1d6 zenon_H28f zenon_H27f zenon_H27e zenon_H27d zenon_H11b. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.14/1.29 apply (zenon_L496_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.14/1.29 apply (zenon_L172_); trivial. % 1.14/1.29 apply (zenon_L349_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.14/1.29 apply (zenon_L256_); trivial. % 1.14/1.29 exact (zenon_H11b zenon_H11c). % 1.14/1.29 (* end of lemma zenon_L1101_ *) % 1.14/1.29 assert (zenon_L1102_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> (~(hskp21)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H108 zenon_H5b zenon_H24b zenon_H1d6 zenon_H28f zenon_H9 zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H39 zenon_H3a zenon_H3b zenon_H168 zenon_H174 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.14/1.29 apply (zenon_L509_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.14/1.29 apply (zenon_L256_); trivial. % 1.14/1.29 exact (zenon_H11b zenon_H11c). % 1.14/1.29 apply (zenon_L1101_); trivial. % 1.14/1.29 (* end of lemma zenon_L1102_ *) % 1.14/1.29 assert (zenon_L1103_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp28)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a520)) -> (c2_1 (a520)) -> (~(c3_1 (a520))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H33 zenon_H214 zenon_H216 zenon_H5b zenon_H24b zenon_H1d6 zenon_H28f zenon_Hc7 zenon_Hc5 zenon_H2b2 zenon_H20d zenon_H20c zenon_H20b zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H5c zenon_H4b zenon_H39 zenon_H3a zenon_H3b zenon_H174 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c zenon_H22e zenon_H9 zenon_H10b. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.29 apply (zenon_L1099_); trivial. % 1.14/1.29 apply (zenon_L1100_); trivial. % 1.14/1.29 apply (zenon_L1102_); trivial. % 1.14/1.29 apply (zenon_L519_); trivial. % 1.14/1.29 (* end of lemma zenon_L1103_ *) % 1.14/1.29 assert (zenon_L1104_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c1_1 (a530))) -> (c2_1 (a530)) -> (c3_1 (a530)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a520))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H1d3 zenon_H195 zenon_H228 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20b zenon_H21b zenon_H21c zenon_H223 zenon_H2b2 zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_H174 zenon_H3b zenon_H3a zenon_H39 zenon_H4b zenon_H5c zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H22e zenon_H9 zenon_H28f zenon_H24b zenon_H5b zenon_H10b. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.29 apply (zenon_L522_); trivial. % 1.14/1.29 apply (zenon_L1102_); trivial. % 1.14/1.29 apply (zenon_L523_); trivial. % 1.14/1.29 (* end of lemma zenon_L1104_ *) % 1.14/1.29 assert (zenon_L1105_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp15)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(c3_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp7)) -> False). % 1.14/1.29 do 0 intro. intros zenon_H108 zenon_H23c zenon_H9 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H302 zenon_H301 zenon_H300 zenon_H142 zenon_H134 zenon_H135 zenon_H28f zenon_H27f zenon_H27e zenon_H27d zenon_H11b. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.14/1.29 apply (zenon_L1077_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.14/1.29 apply (zenon_L256_); trivial. % 1.14/1.29 exact (zenon_H11b zenon_H11c). % 1.14/1.29 (* end of lemma zenon_L1105_ *) % 1.14/1.29 assert (zenon_L1106_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H13f zenon_H10b zenon_H28f zenon_H22e zenon_H9 zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.14/1.29 apply (zenon_L1074_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.14/1.29 apply (zenon_L256_); trivial. % 1.14/1.29 exact (zenon_H11b zenon_H11c). % 1.14/1.29 apply (zenon_L1105_); trivial. % 1.14/1.29 (* end of lemma zenon_L1106_ *) % 1.14/1.29 assert (zenon_L1107_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H144 zenon_H10b zenon_H28f zenon_H22e zenon_H9 zenon_H2b2 zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H27d zenon_H27e zenon_H27f zenon_H11b zenon_H23c zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.29 apply (zenon_L476_); trivial. % 1.14/1.29 apply (zenon_L1106_); trivial. % 1.14/1.29 (* end of lemma zenon_L1107_ *) % 1.14/1.29 assert (zenon_L1108_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H5e zenon_H143 zenon_H1fc zenon_H33 zenon_H116 zenon_H10b zenon_H28f zenon_Hf1 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_Hc0 zenon_H291 zenon_H174 zenon_H70 zenon_H276 zenon_H4b zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H1dc zenon_H3 zenon_H198 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H24b zenon_H1d6 zenon_He8 zenon_H5b zenon_H83 zenon_H195 zenon_H144 zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.29 apply (zenon_L814_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.29 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.29 apply (zenon_L476_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.29 apply (zenon_L1027_); trivial. % 1.14/1.29 apply (zenon_L892_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.29 apply (zenon_L1027_); trivial. % 1.14/1.29 apply (zenon_L885_); trivial. % 1.14/1.29 apply (zenon_L887_); trivial. % 1.14/1.29 (* end of lemma zenon_L1108_ *) % 1.14/1.29 assert (zenon_L1109_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H61 zenon_H143 zenon_H1fc zenon_H33 zenon_H116 zenon_H10b zenon_H28f zenon_Hf1 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_Hc0 zenon_H291 zenon_H174 zenon_H70 zenon_H276 zenon_H4b zenon_H5c zenon_H244 zenon_H243 zenon_H242 zenon_H1dc zenon_H3 zenon_H198 zenon_H24b zenon_H1d6 zenon_He8 zenon_H5b zenon_H83 zenon_H195 zenon_H144 zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1 zenon_Hd zenon_Hb zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.29 apply (zenon_L1018_); trivial. % 1.14/1.29 apply (zenon_L1108_); trivial. % 1.14/1.29 (* end of lemma zenon_L1109_ *) % 1.14/1.29 assert (zenon_L1110_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c3_1 (a534))) -> (c1_1 (a534)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12)))))) -> (~(c2_1 (a534))) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.14/1.29 do 0 intro. intros zenon_H1dc zenon_H300 zenon_H301 zenon_H302 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H64 zenon_H63 zenon_H198 zenon_H142 zenon_H135 zenon_Hda zenon_H134 zenon_H16 zenon_H3. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.14/1.29 apply (zenon_L1025_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.14/1.29 apply (zenon_L49_); trivial. % 1.14/1.29 apply (zenon_L639_); trivial. % 1.14/1.29 (* end of lemma zenon_L1110_ *) % 1.14/1.29 assert (zenon_L1111_ : ((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp8)) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp6)) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(c3_1 (a534))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp3)) -> False). % 1.14/1.29 do 0 intro. intros zenon_H56 zenon_He8 zenon_H47 zenon_Hc7 zenon_Hc5 zenon_H1f1 zenon_H3 zenon_H134 zenon_H135 zenon_H142 zenon_H198 zenon_H63 zenon_H64 zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H302 zenon_H301 zenon_H300 zenon_H1dc zenon_H24b zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H1d6. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H16. zenon_intro zenon_H58. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H4d. zenon_intro zenon_H59. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 1.14/1.29 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.14/1.29 apply (zenon_L775_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.14/1.29 apply (zenon_L1110_); trivial. % 1.14/1.29 apply (zenon_L306_); trivial. % 1.14/1.29 (* end of lemma zenon_L1111_ *) % 1.14/1.29 assert (zenon_L1112_ : ((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a509))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a534)) -> (~(c2_1 (a534))) -> (~(c3_1 (a534))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c1_1 (a532))) -> (c3_1 (a532)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H191 zenon_H5b zenon_He8 zenon_H1a4 zenon_H1a6 zenon_H1a5 zenon_H1d6 zenon_H24b zenon_H313 zenon_H135 zenon_H134 zenon_H142 zenon_H30c zenon_H30b zenon_H30a zenon_H63 zenon_H64 zenon_H198 zenon_H3 zenon_H1dc zenon_H300 zenon_H301 zenon_H302 zenon_Hc7 zenon_Hc5 zenon_H47 zenon_H1f1 zenon_H4b zenon_H5c. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.29 apply (zenon_L196_); trivial. % 1.14/1.29 apply (zenon_L1111_); trivial. % 1.14/1.29 (* end of lemma zenon_L1112_ *) % 1.14/1.29 assert (zenon_L1113_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (c2_1 (a533)) -> (c1_1 (a533)) -> (~(c0_1 (a533))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H7e zenon_H10b zenon_H28f zenon_H3 zenon_H198 zenon_H1cc zenon_H1cb zenon_H1ca zenon_H1fd zenon_H1fe zenon_H1ff zenon_H47 zenon_Hf1. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.29 apply (zenon_L153_); trivial. % 1.14/1.29 apply (zenon_L540_); trivial. % 1.14/1.29 (* end of lemma zenon_L1113_ *) % 1.14/1.29 assert (zenon_L1114_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp21)) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a514)) -> (c1_1 (a514)) -> (~(c2_1 (a514))) -> (ndr1_0) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(c0_1 (a533))) -> (c1_1 (a533)) -> (c2_1 (a533)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_Hc0 zenon_H276 zenon_H174 zenon_H168 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H1f1 zenon_H27f zenon_H27e zenon_H27d zenon_H302 zenon_H301 zenon_H300 zenon_H4b zenon_H291 zenon_H244 zenon_H243 zenon_H242 zenon_H70 zenon_H65 zenon_H64 zenon_H63 zenon_H16 zenon_Hf1 zenon_H47 zenon_H1ff zenon_H1fe zenon_H1fd zenon_H1ca zenon_H1cb zenon_H1cc zenon_H198 zenon_H3 zenon_H28f zenon_H10b zenon_H83. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.14/1.29 apply (zenon_L30_); trivial. % 1.14/1.29 apply (zenon_L1113_); trivial. % 1.14/1.29 apply (zenon_L872_); trivial. % 1.14/1.29 (* end of lemma zenon_L1114_ *) % 1.14/1.29 assert (zenon_L1115_ : ((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a534))) -> (~(c2_1 (a534))) -> (c1_1 (a534)) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H7e zenon_H10b zenon_H1dc zenon_H142 zenon_H134 zenon_H135 zenon_H3 zenon_H198 zenon_H1 zenon_H1d6 zenon_H1d8 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H47 zenon_Hf1. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.29 apply (zenon_L153_); trivial. % 1.14/1.29 apply (zenon_L875_); trivial. % 1.14/1.29 (* end of lemma zenon_L1115_ *) % 1.14/1.29 assert (zenon_L1116_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/((hskp13)\/(hskp3))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> (c3_1 (a514)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H144 zenon_H195 zenon_H192 zenon_H184 zenon_H11 zenon_H166 zenon_H83 zenon_H10b zenon_H1dc zenon_H3 zenon_H198 zenon_H1 zenon_H1d6 zenon_H1d8 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H47 zenon_Hf1 zenon_H63 zenon_H64 zenon_H65 zenon_H70 zenon_H174 zenon_H14c zenon_H14b zenon_H14a zenon_H1f1 zenon_H27f zenon_H27e zenon_H27d zenon_H302 zenon_H301 zenon_H300 zenon_H4b zenon_H291 zenon_Hc0 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.29 apply (zenon_L476_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.14/1.29 apply (zenon_L30_); trivial. % 1.14/1.29 apply (zenon_L1115_); trivial. % 1.14/1.29 apply (zenon_L1096_); trivial. % 1.14/1.29 apply (zenon_L794_); trivial. % 1.14/1.29 (* end of lemma zenon_L1116_ *) % 1.14/1.29 assert (zenon_L1117_ : ((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a559)))/\((~(c2_1 (a559)))/\(~(c3_1 (a559))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp29)\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp28))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((hskp25)\/(hskp26))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a500))/\((c2_1 (a500))/\(c3_1 (a500)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a558))/\((~(c0_1 (a558)))/\(~(c3_1 (a558))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(c2_1 (a514))) -> (c1_1 (a514)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c2_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H5e zenon_H143 zenon_H1fc zenon_H83 zenon_H10b zenon_Hf1 zenon_H116 zenon_H70 zenon_H28f zenon_H33 zenon_H291 zenon_Hc0 zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H5b zenon_He8 zenon_H1d6 zenon_H24b zenon_H313 zenon_H30c zenon_H30b zenon_H30a zenon_H63 zenon_H64 zenon_H198 zenon_H3 zenon_H1dc zenon_H242 zenon_H243 zenon_H244 zenon_H174 zenon_H4b zenon_H5c zenon_H276 zenon_H195 zenon_H144 zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H1a5 zenon_H1a6 zenon_H1a4 zenon_H47 zenon_H1f1. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.29 apply (zenon_L814_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.29 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.29 apply (zenon_L476_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.29 apply (zenon_L630_); trivial. % 1.14/1.29 apply (zenon_L1111_); trivial. % 1.14/1.29 apply (zenon_L1112_); trivial. % 1.14/1.29 apply (zenon_L897_); trivial. % 1.14/1.29 (* end of lemma zenon_L1117_ *) % 1.14/1.29 assert (zenon_L1118_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp15)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(hskp21)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> (~(hskp7)) -> False). % 1.14/1.29 do 0 intro. intros zenon_H108 zenon_H23c zenon_H9 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H174 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H262 zenon_H261 zenon_H260 zenon_H168 zenon_H28f zenon_H27f zenon_H27e zenon_H27d zenon_H11b. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.14/1.29 apply (zenon_L977_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.14/1.29 apply (zenon_L256_); trivial. % 1.14/1.29 exact (zenon_H11b zenon_H11c). % 1.14/1.29 (* end of lemma zenon_L1118_ *) % 1.14/1.29 assert (zenon_L1119_ : ((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a522))/\((c1_1 (a522))/\(c2_1 (a522)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c2_1 X3))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a538))) -> (~(c3_1 (a538))) -> (c0_1 (a538)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp31)\/(hskp4))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H108 zenon_H5b zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_H24b zenon_H1d6 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H20b zenon_H20c zenon_H20d zenon_H22e zenon_H9 zenon_H28f zenon_H188 zenon_H189 zenon_H18a zenon_H4b zenon_H5c. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H16. zenon_intro zenon_H109. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf6. zenon_intro zenon_H10a. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf4. zenon_intro zenon_Hf5. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.29 apply (zenon_L196_); trivial. % 1.14/1.29 apply (zenon_L1101_); trivial. % 1.14/1.29 (* end of lemma zenon_L1119_ *) % 1.14/1.29 assert (zenon_L1120_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H1a0 zenon_H1fc zenon_H1fa zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H11 zenon_H7c zenon_H7f zenon_H144 zenon_H16 zenon_H29d zenon_H29e zenon_H29f zenon_H47 zenon_H1c9. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.29 apply (zenon_L314_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.29 apply (zenon_L1063_); trivial. % 1.14/1.29 apply (zenon_L398_); trivial. % 1.14/1.29 (* end of lemma zenon_L1120_ *) % 1.14/1.29 assert (zenon_L1121_ : ((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a510)) -> (~(c2_1 (a510))) -> (~(c1_1 (a510))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H1a1 zenon_H1fc zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H196 zenon_Hc1 zenon_H14c zenon_H14b zenon_H14a zenon_H198 zenon_H3 zenon_H1dc zenon_H144. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.29 apply (zenon_L1068_); trivial. % 1.14/1.29 apply (zenon_L398_); trivial. % 1.14/1.29 (* end of lemma zenon_L1121_ *) % 1.14/1.29 assert (zenon_L1122_ : ((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H24d zenon_H1a0 zenon_H1fc zenon_H1fa zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H196 zenon_Hc1 zenon_H198 zenon_H3 zenon_H1dc zenon_H144 zenon_H29d zenon_H29e zenon_H29f zenon_H47 zenon_H1c9. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.29 apply (zenon_L314_); trivial. % 1.14/1.29 apply (zenon_L1121_); trivial. % 1.14/1.29 (* end of lemma zenon_L1122_ *) % 1.14/1.29 assert (zenon_L1123_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H251 zenon_H196 zenon_Hc1 zenon_H198 zenon_H3 zenon_H1dc zenon_H1c9 zenon_H47 zenon_H29f zenon_H29e zenon_H29d zenon_H16 zenon_H144 zenon_H7f zenon_H11 zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fa zenon_H1fc zenon_H1a0. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.29 apply (zenon_L1120_); trivial. % 1.14/1.29 apply (zenon_L1122_); trivial. % 1.14/1.29 (* end of lemma zenon_L1123_ *) % 1.14/1.29 assert (zenon_L1124_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (ndr1_0) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H209 zenon_H1a0 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H1fc zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H192 zenon_H158 zenon_H166 zenon_H174 zenon_H22e zenon_H2b2 zenon_H28f zenon_H10b zenon_H173 zenon_H195 zenon_H144 zenon_H61 zenon_H7f zenon_H1fa zenon_H20d zenon_H20c zenon_H20b zenon_H29f zenon_H29e zenon_H29d zenon_H16 zenon_He8 zenon_Hc1 zenon_H196 zenon_H251. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.29 apply (zenon_L334_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.29 apply (zenon_L1018_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.29 apply (zenon_L714_); trivial. % 1.14/1.29 apply (zenon_L1017_); trivial. % 1.14/1.29 apply (zenon_L1023_); trivial. % 1.14/1.29 (* end of lemma zenon_L1124_ *) % 1.14/1.29 assert (zenon_L1125_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H13f zenon_H195 zenon_H173 zenon_He8 zenon_H166 zenon_H174 zenon_H20b zenon_H20c zenon_H20d zenon_H9 zenon_H22e zenon_H1ff zenon_H1fe zenon_H1fd zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H3b zenon_H39 zenon_H3a zenon_H158 zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H2b2 zenon_H28f zenon_H10b zenon_H192. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.14/1.29 apply (zenon_L658_); trivial. % 1.14/1.29 apply (zenon_L708_); trivial. % 1.14/1.29 apply (zenon_L709_); trivial. % 1.14/1.29 (* end of lemma zenon_L1125_ *) % 1.14/1.29 assert (zenon_L1126_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a507)) -> (~(c1_1 (a507))) -> (~(c0_1 (a507))) -> (~(c2_1 (a509))) -> (c0_1 (a509)) -> (c3_1 (a509)) -> (~(c3_1 (a520))) -> (c0_1 (a520)) -> (c2_1 (a520)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H144 zenon_H195 zenon_H173 zenon_He8 zenon_H166 zenon_H174 zenon_H20b zenon_H20c zenon_H20d zenon_H9 zenon_H22e zenon_H1ff zenon_H1fe zenon_H1fd zenon_H1a4 zenon_H1a5 zenon_H1a6 zenon_H3b zenon_H39 zenon_H3a zenon_H158 zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_H2b2 zenon_H28f zenon_H10b zenon_H192 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.29 apply (zenon_L476_); trivial. % 1.14/1.29 apply (zenon_L1125_); trivial. % 1.14/1.29 (* end of lemma zenon_L1126_ *) % 1.14/1.29 assert (zenon_L1127_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (~(c0_1 (a507))) -> (~(c1_1 (a507))) -> (c3_1 (a507)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (c3_1 (a505)) -> (c2_1 (a505)) -> (~(c0_1 (a505))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_Hd zenon_H1fc zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H192 zenon_H10b zenon_H28f zenon_H2b2 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H158 zenon_H1fd zenon_H1fe zenon_H1ff zenon_H22e zenon_H20d zenon_H20c zenon_H20b zenon_H174 zenon_H166 zenon_He8 zenon_H173 zenon_H195 zenon_H144 zenon_H61. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.29 apply (zenon_L1018_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.29 apply (zenon_L1126_); trivial. % 1.14/1.29 apply (zenon_L713_); trivial. % 1.14/1.29 apply (zenon_L1017_); trivial. % 1.14/1.29 apply (zenon_L1023_); trivial. % 1.14/1.29 (* end of lemma zenon_L1127_ *) % 1.14/1.29 assert (zenon_L1128_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H252 zenon_H23e zenon_H184 zenon_H251 zenon_H196 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H7f zenon_H61 zenon_H144 zenon_H195 zenon_H173 zenon_H10b zenon_H28f zenon_H2b2 zenon_H22e zenon_H174 zenon_H166 zenon_H158 zenon_H192 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fc zenon_Hd zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36 zenon_H1a0 zenon_H209. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.29 apply (zenon_L1124_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.29 apply (zenon_L1042_); trivial. % 1.14/1.29 apply (zenon_L1127_); trivial. % 1.14/1.29 (* end of lemma zenon_L1128_ *) % 1.14/1.29 assert (zenon_L1129_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (ndr1_0) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H209 zenon_H143 zenon_He8 zenon_Ha4 zenon_H1a0 zenon_H1fc zenon_H1fa zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H7f zenon_H144 zenon_H16 zenon_H29d zenon_H29e zenon_H29f zenon_H47 zenon_H1c9 zenon_H174 zenon_H262 zenon_H261 zenon_H260 zenon_H1f1 zenon_H166 zenon_H184 zenon_H192 zenon_H195 zenon_H251. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.29 apply (zenon_L1120_); trivial. % 1.14/1.29 apply (zenon_L795_); trivial. % 1.14/1.29 apply (zenon_L919_); trivial. % 1.14/1.29 (* end of lemma zenon_L1129_ *) % 1.14/1.29 assert (zenon_L1130_ : ((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H27a zenon_H250 zenon_H23e zenon_H196 zenon_H61 zenon_H173 zenon_H10b zenon_H28f zenon_H2b2 zenon_H22e zenon_H158 zenon_Hd zenon_H36 zenon_H251 zenon_H195 zenon_H192 zenon_H184 zenon_H166 zenon_H1f1 zenon_H174 zenon_H1c9 zenon_H29f zenon_H29e zenon_H29d zenon_H144 zenon_H7f zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fa zenon_H1fc zenon_H1a0 zenon_Ha4 zenon_He8 zenon_H143 zenon_H209. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.29 apply (zenon_L1129_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.29 apply (zenon_L1124_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.29 apply (zenon_L333_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.29 apply (zenon_L1018_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.29 apply (zenon_L233_); trivial. % 1.14/1.29 apply (zenon_L93_); trivial. % 1.14/1.29 apply (zenon_L329_); trivial. % 1.14/1.29 apply (zenon_L1127_); trivial. % 1.14/1.29 (* end of lemma zenon_L1130_ *) % 1.14/1.29 assert (zenon_L1131_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(hskp8)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H206 zenon_H1a0 zenon_H143 zenon_He8 zenon_H300 zenon_H301 zenon_H302 zenon_Ha4 zenon_H27f zenon_H27e zenon_H27d zenon_H1f1 zenon_H29d zenon_H29e zenon_H29f zenon_H47 zenon_H1c9. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.29 apply (zenon_L314_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.29 apply (zenon_L814_); trivial. % 1.14/1.29 apply (zenon_L820_); trivial. % 1.14/1.29 (* end of lemma zenon_L1131_ *) % 1.14/1.29 assert (zenon_L1132_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> (~(c1_1 (a499))) -> (c0_1 (a499)) -> (c2_1 (a499)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H23e zenon_H251 zenon_H196 zenon_H198 zenon_H3 zenon_H1dc zenon_H1c9 zenon_H47 zenon_H29f zenon_H29e zenon_H29d zenon_H16 zenon_H144 zenon_H7f zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fa zenon_H1fc zenon_H1a0 zenon_H1f1 zenon_H27d zenon_H27e zenon_H27f zenon_Ha4 zenon_He8 zenon_H143 zenon_H209. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.29 apply (zenon_L1123_); trivial. % 1.14/1.29 apply (zenon_L1131_); trivial. % 1.14/1.29 apply (zenon_L330_); trivial. % 1.14/1.29 (* end of lemma zenon_L1132_ *) % 1.14/1.29 assert (zenon_L1133_ : ((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a499)) -> (c0_1 (a499)) -> (~(c1_1 (a499))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H206 zenon_H36 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H144 zenon_H10b zenon_H28f zenon_H2b2 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H22e zenon_H23c zenon_H11b zenon_H27f zenon_H27e zenon_H27d zenon_He8 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c3 zenon_H1fc. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.29 apply (zenon_L747_); trivial. % 1.14/1.29 apply (zenon_L1017_); trivial. % 1.14/1.29 (* end of lemma zenon_L1133_ *) % 1.14/1.29 assert (zenon_L1134_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> (c2_1 (a520)) -> (c0_1 (a520)) -> (~(c3_1 (a520))) -> (c3_1 (a509)) -> (c0_1 (a509)) -> (~(c2_1 (a509))) -> (~(c0_1 (a502))) -> (~(c1_1 (a502))) -> (~(c3_1 (a502))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> (~(c0_1 (a505))) -> (c2_1 (a505)) -> (c3_1 (a505)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H13f zenon_H192 zenon_H10b zenon_H22e zenon_H9 zenon_H28f zenon_H2b2 zenon_H158 zenon_H3a zenon_H39 zenon_H3b zenon_H1a6 zenon_H1a5 zenon_H1a4 zenon_H242 zenon_H243 zenon_H244 zenon_He8 zenon_H29d zenon_H29e zenon_H29f zenon_H20b zenon_H20c zenon_H20d zenon_H1fa zenon_H166 zenon_H276 zenon_H173. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.14/1.29 apply (zenon_L737_); trivial. % 1.14/1.29 apply (zenon_L708_); trivial. % 1.14/1.29 (* end of lemma zenon_L1134_ *) % 1.14/1.29 assert (zenon_L1135_ : ((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> (~(c0_1 (a498))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H252 zenon_H209 zenon_H1fc zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H2b2 zenon_H28f zenon_H10b zenon_H144 zenon_H7f zenon_H1fa zenon_H29f zenon_H29e zenon_H29d zenon_He8 zenon_H61 zenon_H192 zenon_H184 zenon_H276 zenon_H158 zenon_H166 zenon_H244 zenon_H243 zenon_H242 zenon_H173 zenon_Hd zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H36 zenon_H22e zenon_H1a0 zenon_H251. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.29 apply (zenon_L1048_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.29 apply (zenon_L1018_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.29 apply (zenon_L476_); trivial. % 1.14/1.29 apply (zenon_L1134_); trivial. % 1.14/1.29 apply (zenon_L713_); trivial. % 1.14/1.29 apply (zenon_L1017_); trivial. % 1.14/1.29 apply (zenon_L1023_); trivial. % 1.14/1.29 (* end of lemma zenon_L1135_ *) % 1.14/1.29 assert (zenon_L1136_ : ((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> False). % 1.14/1.29 do 0 intro. intros zenon_H13f zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H300 zenon_H301 zenon_H302 zenon_H30a zenon_H30b zenon_H30c zenon_H313 zenon_H260 zenon_H261 zenon_H262. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.14/1.29 apply (zenon_L184_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.14/1.29 apply (zenon_L1025_); trivial. % 1.14/1.29 apply (zenon_L232_); trivial. % 1.14/1.29 (* end of lemma zenon_L1136_ *) % 1.14/1.29 assert (zenon_L1137_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (c2_1 (a501)) -> (c1_1 (a501)) -> (~(c3_1 (a501))) -> (~(c0_1 (a494))) -> (~(c2_1 (a494))) -> (c3_1 (a494)) -> (~(c0_1 (a495))) -> (~(c3_1 (a495))) -> (c1_1 (a495)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (ndr1_0) -> (~(c1_1 (a496))) -> (~(c2_1 (a496))) -> (~(c3_1 (a496))) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H144 zenon_H276 zenon_H262 zenon_H261 zenon_H260 zenon_H30a zenon_H30b zenon_H30c zenon_H300 zenon_H301 zenon_H302 zenon_H313 zenon_H244 zenon_H243 zenon_H242 zenon_H16 zenon_H2d3 zenon_H2d2 zenon_H2d1 zenon_H1c1 zenon_H1c3. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.29 apply (zenon_L476_); trivial. % 1.14/1.29 apply (zenon_L1136_); trivial. % 1.14/1.29 (* end of lemma zenon_L1137_ *) % 1.14/1.29 assert (zenon_L1138_ : ((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> (~(c3_1 (a502))) -> (~(c1_1 (a502))) -> (~(c0_1 (a502))) -> (~(c0_1 (a498))) -> (c1_1 (a498)) -> (~(c2_1 (a498))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> False). % 1.14/1.29 do 0 intro. intros zenon_H1d3 zenon_H276 zenon_H244 zenon_H243 zenon_H242 zenon_H29d zenon_H29f zenon_H29e zenon_H1fa zenon_H260 zenon_H261 zenon_H262. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.14/1.29 apply (zenon_L184_); trivial. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.14/1.29 apply (zenon_L710_); trivial. % 1.14/1.29 apply (zenon_L232_); trivial. % 1.14/1.29 (* end of lemma zenon_L1138_ *) % 1.14/1.29 assert (zenon_L1139_ : ((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> (~(c3_1 (a501))) -> (c1_1 (a501)) -> (c2_1 (a501)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H255 zenon_H1fc zenon_H29d zenon_H29e zenon_H29f zenon_H1fa zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H260 zenon_H261 zenon_H262 zenon_H276 zenon_H144. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.29 apply (zenon_L1137_); trivial. % 1.14/1.29 apply (zenon_L1138_); trivial. % 1.14/1.29 (* end of lemma zenon_L1139_ *) % 1.14/1.29 assert (zenon_L1140_ : ((ndr1_0)/\((c0_1 (a499))/\((c2_1 (a499))/\(~(c1_1 (a499)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a501))/\((c2_1 (a501))/\(~(c3_1 (a501))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a538))/\((~(c1_1 (a538)))/\(~(c3_1 (a538))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a505))/\((c3_1 (a505))/\(~(c0_1 (a505))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((~(c0_1 X15))\/(~(c2_1 X15))))))\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c1_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a504))/\((c1_1 (a504))/\(c3_1 (a504)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a528))/\((c1_1 (a528))/\(~(c3_1 (a528))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a509))/\((c3_1 (a509))/\(~(c2_1 (a509))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a532))/\((~(c1_1 (a532)))/\(~(c2_1 (a532))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp17))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a514))/\((c3_1 (a514))/\(~(c2_1 (a514))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a533))/\((c2_1 (a533))/\(~(c0_1 (a533))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((hskp18)\/(hskp19))) -> (~(c3_1 (a496))) -> (~(c2_1 (a496))) -> (~(c1_1 (a496))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> (c1_1 (a495)) -> (~(c3_1 (a495))) -> (~(c0_1 (a495))) -> (c3_1 (a494)) -> (~(c2_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((hskp10)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a534))/\((~(c2_1 (a534)))/\(~(c3_1 (a534))))))) -> (~(c0_1 (a498))) -> (~(c2_1 (a498))) -> (c1_1 (a498)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((hskp12)\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c3_1 X25)\/((~(c0_1 X25))\/(~(c1_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((~(c0_1 X24))\/(~(c1_1 X24))))))\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(~(c1_1 X12))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a510))/\((~(c1_1 (a510)))/\(~(c2_1 (a510))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a507))/\((~(c0_1 (a507)))/\(~(c1_1 (a507))))))) -> ((hskp15)\/((hskp13)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a554))/\((~(c2_1 (a554)))/\(~(c3_1 (a554))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(hskp22))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((~(c0_1 X81))\/(~(c3_1 X81))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp24))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall Y : zenon_U, ((ndr1_0)->((c3_1 Y)\/((~(c1_1 Y))\/(~(c2_1 Y)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c1_1 X47))\/(~(c3_1 X47))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((c2_1 X33)\/(~(c0_1 X33))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a540))/\((c3_1 (a540))/\(~(c0_1 (a540))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a520))/\((c2_1 (a520))/\(~(c3_1 (a520))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a502)))/\((~(c1_1 (a502)))/\(~(c3_1 (a502))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H2bf zenon_H278 zenon_H174 zenon_H195 zenon_H250 zenon_H23c zenon_H22e zenon_H2b2 zenon_H28f zenon_H10b zenon_H36 zenon_H209 zenon_H143 zenon_He8 zenon_Ha4 zenon_H1f1 zenon_H1a0 zenon_H1fc zenon_H1fa zenon_H1c3 zenon_H2d1 zenon_H2d2 zenon_H2d3 zenon_H313 zenon_H302 zenon_H301 zenon_H300 zenon_H30c zenon_H30b zenon_H30a zenon_H7f zenon_H144 zenon_H29d zenon_H29e zenon_H29f zenon_H1c9 zenon_H1dc zenon_H198 zenon_H196 zenon_H251 zenon_H23e zenon_Hd zenon_H173 zenon_H166 zenon_H158 zenon_H276 zenon_H184 zenon_H192 zenon_H61 zenon_H279. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.29 apply (zenon_L1132_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.29 apply (zenon_L334_); trivial. % 1.14/1.29 apply (zenon_L1133_); trivial. % 1.14/1.29 apply (zenon_L295_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.29 apply (zenon_L1132_); trivial. % 1.14/1.29 apply (zenon_L1135_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.29 apply (zenon_L1129_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.29 apply (zenon_L1059_); trivial. % 1.14/1.29 apply (zenon_L1133_); trivial. % 1.14/1.29 apply (zenon_L1139_); trivial. % 1.14/1.29 (* end of lemma zenon_L1140_ *) % 1.14/1.29 apply NNPP. intro zenon_G. % 1.14/1.29 apply zenon_G. zenon_intro zenon_H31d. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H31f. zenon_intro zenon_H31e. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H321. zenon_intro zenon_H320. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H323. zenon_intro zenon_H322. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H325. zenon_intro zenon_H324. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H327. zenon_intro zenon_H326. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H2ce. zenon_intro zenon_H328. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H278. zenon_intro zenon_H329. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H279. zenon_intro zenon_H32a. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H250. zenon_intro zenon_H32b. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H23e. zenon_intro zenon_H32c. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H209. zenon_intro zenon_H32d. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H251. zenon_intro zenon_H32e. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H1a0. zenon_intro zenon_H32f. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H61. zenon_intro zenon_H330. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H146. zenon_intro zenon_H331. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H36. zenon_intro zenon_H332. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H22a. zenon_intro zenon_H333. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H143. zenon_intro zenon_H334. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H1fc. zenon_intro zenon_H335. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H144. zenon_intro zenon_H336. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H338. zenon_intro zenon_H337. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H195. zenon_intro zenon_H339. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H192. zenon_intro zenon_H33a. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H145. zenon_intro zenon_H33b. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H173. zenon_intro zenon_H33c. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_Hc0. zenon_intro zenon_H33d. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H83. zenon_intro zenon_H33e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H123. zenon_intro zenon_H33f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H33. zenon_intro zenon_H340. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H10b. zenon_intro zenon_H341. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_Hbd. zenon_intro zenon_H342. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H5b. zenon_intro zenon_H343. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H345. zenon_intro zenon_H344. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H276. zenon_intro zenon_H346. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H270. zenon_intro zenon_H347. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_Hb7. zenon_intro zenon_H348. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H228. zenon_intro zenon_H349. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H291. zenon_intro zenon_H34a. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H1f8. zenon_intro zenon_H34b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H1e2. zenon_intro zenon_H34c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_He8. zenon_intro zenon_H34d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H23c. zenon_intro zenon_H34e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H116. zenon_intro zenon_H34f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_Hf1. zenon_intro zenon_H350. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H352. zenon_intro zenon_H351. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H28f. zenon_intro zenon_H353. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H1dc. zenon_intro zenon_H354. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H198. zenon_intro zenon_H355. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H7f. zenon_intro zenon_H356. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H1fa. zenon_intro zenon_H357. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H196. zenon_intro zenon_H358. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H35a. zenon_intro zenon_H359. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1c9. zenon_intro zenon_H35b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H313. zenon_intro zenon_H35c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H1f1. zenon_intro zenon_H35d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H35f. zenon_intro zenon_H35e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H1c7. zenon_intro zenon_H360. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H90. zenon_intro zenon_H361. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H272. zenon_intro zenon_H362. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_Hb4. zenon_intro zenon_H363. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H184. zenon_intro zenon_H364. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H28d. zenon_intro zenon_H365. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H367. zenon_intro zenon_H366. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H22e. zenon_intro zenon_H368. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H216. zenon_intro zenon_H369. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H218. zenon_intro zenon_H36a. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1c3. zenon_intro zenon_H36b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Hc3. zenon_intro zenon_H36c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H36e. zenon_intro zenon_H36d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H1c4. zenon_intro zenon_H36f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H174. zenon_intro zenon_H370. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H24b. zenon_intro zenon_H371. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H166. zenon_intro zenon_H372. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H121. zenon_intro zenon_H373. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H5c. zenon_intro zenon_H374. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H11d. zenon_intro zenon_H375. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H377. zenon_intro zenon_H376. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H2b2. zenon_intro zenon_H378. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H37a. zenon_intro zenon_H379. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H1da. zenon_intro zenon_H37b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H37d. zenon_intro zenon_H37c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_He5. zenon_intro zenon_H37e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H158. zenon_intro zenon_H37f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H381. zenon_intro zenon_H380. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_Ha4. zenon_intro zenon_H382. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H70. zenon_intro zenon_H383. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H2e. zenon_intro zenon_H384. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H386. zenon_intro zenon_H385. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H29b. zenon_intro zenon_H387. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_H57. zenon_intro zenon_H388. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H1d8. zenon_intro zenon_H389. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H106. zenon_intro zenon_H38a. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H38a). zenon_intro zenon_H19e. zenon_intro zenon_H38b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_Hd. zenon_intro zenon_H38c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H13. zenon_intro zenon_H38d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_H38f. zenon_intro zenon_H38e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H7. zenon_intro zenon_H390. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H299 | zenon_intro zenon_H391 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H392 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H393 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H394 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_L255_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_L297_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L298_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L302_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.14/1.30 apply (zenon_L30_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H16. zenon_intro zenon_H80. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H73. zenon_intro zenon_H81. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H74. zenon_intro zenon_H75. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.14/1.30 apply (zenon_L31_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.14/1.30 apply (zenon_L49_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.14/1.30 apply (zenon_L224_); trivial. % 1.14/1.30 apply (zenon_L27_); trivial. % 1.14/1.30 apply (zenon_L305_); trivial. % 1.14/1.30 apply (zenon_L101_); trivial. % 1.14/1.30 apply (zenon_L225_); trivial. % 1.14/1.30 apply (zenon_L129_); trivial. % 1.14/1.30 apply (zenon_L308_); trivial. % 1.14/1.30 apply (zenon_L258_); trivial. % 1.14/1.30 apply (zenon_L295_); trivial. % 1.14/1.30 apply (zenon_L312_); trivial. % 1.14/1.30 apply (zenon_L254_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L323_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L314_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.14/1.30 apply (zenon_L4_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L327_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L328_); trivial. % 1.14/1.30 apply (zenon_L320_); trivial. % 1.14/1.30 apply (zenon_L321_); trivial. % 1.14/1.30 apply (zenon_L330_); trivial. % 1.14/1.30 apply (zenon_L374_); trivial. % 1.14/1.30 apply (zenon_L389_); trivial. % 1.14/1.30 apply (zenon_L397_); trivial. % 1.14/1.30 apply (zenon_L414_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H16. zenon_intro zenon_H395. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H2c4. zenon_intro zenon_H396. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H2c2. zenon_intro zenon_H2c3. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_L437_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L439_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L419_); trivial. % 1.14/1.30 apply (zenon_L294_); trivial. % 1.14/1.30 apply (zenon_L295_); trivial. % 1.14/1.30 apply (zenon_L296_); trivial. % 1.14/1.30 apply (zenon_L449_); trivial. % 1.14/1.30 apply (zenon_L462_); trivial. % 1.14/1.30 apply (zenon_L475_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H16. zenon_intro zenon_H397. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H2d3. zenon_intro zenon_H398. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H2d2. zenon_intro zenon_H2d1. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H394 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L478_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.14/1.30 apply (zenon_L4_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L485_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_L476_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H94 | zenon_intro zenon_H277 ]. % 1.14/1.30 apply (zenon_L40_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 1.14/1.30 apply (zenon_L488_); trivial. % 1.14/1.30 apply (zenon_L491_); trivial. % 1.14/1.30 apply (zenon_L72_); trivial. % 1.14/1.30 apply (zenon_L148_); trivial. % 1.14/1.30 apply (zenon_L484_); trivial. % 1.14/1.30 apply (zenon_L492_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L478_); trivial. % 1.14/1.30 apply (zenon_L151_); trivial. % 1.14/1.30 apply (zenon_L572_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_L585_); trivial. % 1.14/1.30 apply (zenon_L593_); trivial. % 1.14/1.30 apply (zenon_L666_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L478_); trivial. % 1.14/1.30 apply (zenon_L667_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L671_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L673_); trivial. % 1.14/1.30 apply (zenon_L125_); trivial. % 1.14/1.30 apply (zenon_L151_); trivial. % 1.14/1.30 apply (zenon_L312_); trivial. % 1.14/1.30 apply (zenon_L676_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L7_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.14/1.30 apply (zenon_L10_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 1.14/1.30 apply (zenon_L533_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 1.14/1.30 exact (zenon_H11 zenon_H12). % 1.14/1.30 exact (zenon_H7c zenon_H7d). % 1.14/1.30 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H72 | zenon_intro zenon_H82 ]. % 1.14/1.30 apply (zenon_L596_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H12 | zenon_intro zenon_H7d ]. % 1.14/1.30 exact (zenon_H11 zenon_H12). % 1.14/1.30 exact (zenon_H7c zenon_H7d). % 1.14/1.30 apply (zenon_L25_); trivial. % 1.14/1.30 apply (zenon_L678_); trivial. % 1.14/1.30 apply (zenon_L681_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_L683_); trivial. % 1.14/1.30 apply (zenon_L25_); trivial. % 1.14/1.30 apply (zenon_L686_); trivial. % 1.14/1.30 apply (zenon_L295_); trivial. % 1.14/1.30 apply (zenon_L296_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_L687_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L588_); trivial. % 1.14/1.30 apply (zenon_L688_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L588_); trivial. % 1.14/1.30 apply (zenon_L694_); trivial. % 1.14/1.30 apply (zenon_L593_); trivial. % 1.14/1.30 apply (zenon_L666_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L671_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L302_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_L476_); trivial. % 1.14/1.30 apply (zenon_L696_); trivial. % 1.14/1.30 apply (zenon_L698_); trivial. % 1.14/1.30 apply (zenon_L257_); trivial. % 1.14/1.30 apply (zenon_L308_); trivial. % 1.14/1.30 apply (zenon_L258_); trivial. % 1.14/1.30 apply (zenon_L295_); trivial. % 1.14/1.30 apply (zenon_L312_); trivial. % 1.14/1.30 apply (zenon_L699_); trivial. % 1.14/1.30 apply (zenon_L750_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H16. zenon_intro zenon_H395. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H2c4. zenon_intro zenon_H396. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H2c2. zenon_intro zenon_H2c3. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L756_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.14/1.30 apply (zenon_L4_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L485_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L755_); trivial. % 1.14/1.30 apply (zenon_L148_); trivial. % 1.14/1.30 apply (zenon_L492_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L756_); trivial. % 1.14/1.30 apply (zenon_L151_); trivial. % 1.14/1.30 apply (zenon_L761_); trivial. % 1.14/1.30 apply (zenon_L436_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.14/1.30 apply (zenon_L4_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L7_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_L476_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H11f | zenon_intro zenon_H130 ]. % 1.14/1.30 apply (zenon_L752_); trivial. % 1.14/1.30 apply (zenon_L529_); trivial. % 1.14/1.30 apply (zenon_L452_); trivial. % 1.14/1.30 apply (zenon_L125_); trivial. % 1.14/1.30 apply (zenon_L424_); trivial. % 1.14/1.30 apply (zenon_L678_); trivial. % 1.14/1.30 apply (zenon_L681_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L762_); trivial. % 1.14/1.30 apply (zenon_L686_); trivial. % 1.14/1.30 apply (zenon_L295_); trivial. % 1.14/1.30 apply (zenon_L296_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_L687_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L766_); trivial. % 1.14/1.30 apply (zenon_L688_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L766_); trivial. % 1.14/1.30 apply (zenon_L694_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L766_); trivial. % 1.14/1.30 apply (zenon_L768_); trivial. % 1.14/1.30 apply (zenon_L772_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_L461_); trivial. % 1.14/1.30 apply (zenon_L699_); trivial. % 1.14/1.30 apply (zenon_L750_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H16. zenon_intro zenon_H399. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_H302. zenon_intro zenon_H39a. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_H300. zenon_intro zenon_H301. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H393 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H394 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L26_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_L777_); trivial. % 1.14/1.30 apply (zenon_L77_); trivial. % 1.14/1.30 apply (zenon_L789_); trivial. % 1.14/1.30 apply (zenon_L218_); trivial. % 1.14/1.30 apply (zenon_L219_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L791_); trivial. % 1.14/1.30 apply (zenon_L789_); trivial. % 1.14/1.30 apply (zenon_L793_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L809_); trivial. % 1.14/1.30 apply (zenon_L219_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L810_); trivial. % 1.14/1.30 apply (zenon_L793_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L26_); trivial. % 1.14/1.30 apply (zenon_L813_); trivial. % 1.14/1.30 apply (zenon_L815_); trivial. % 1.14/1.30 apply (zenon_L296_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L791_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_L816_); trivial. % 1.14/1.30 apply (zenon_L186_); trivial. % 1.14/1.30 apply (zenon_L817_); trivial. % 1.14/1.30 apply (zenon_L793_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L824_); trivial. % 1.14/1.30 apply (zenon_L374_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L824_); trivial. % 1.14/1.30 apply (zenon_L827_); trivial. % 1.14/1.30 apply (zenon_L397_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L828_); trivial. % 1.14/1.30 apply (zenon_L412_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L828_); trivial. % 1.14/1.30 apply (zenon_L827_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H16. zenon_intro zenon_H395. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H2c4. zenon_intro zenon_H396. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H2c2. zenon_intro zenon_H2c3. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L830_); trivial. % 1.14/1.30 apply (zenon_L433_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L809_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L832_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L7_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.30 apply (zenon_L162_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L163_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H102 | zenon_intro zenon_H124 ]. % 1.14/1.30 apply (zenon_L833_); trivial. % 1.14/1.30 apply (zenon_L228_); trivial. % 1.14/1.30 apply (zenon_L834_); trivial. % 1.14/1.30 apply (zenon_L424_); trivial. % 1.14/1.30 apply (zenon_L835_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L832_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L7_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.30 apply (zenon_L162_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H102 | zenon_intro zenon_H124 ]. % 1.14/1.30 apply (zenon_L833_); trivial. % 1.14/1.30 apply (zenon_L837_); trivial. % 1.14/1.30 apply (zenon_L672_); trivial. % 1.14/1.30 apply (zenon_L424_); trivial. % 1.14/1.30 apply (zenon_L156_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L810_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L838_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L7_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L163_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.30 apply (zenon_L247_); trivial. % 1.14/1.30 apply (zenon_L840_); trivial. % 1.14/1.30 apply (zenon_L834_); trivial. % 1.14/1.30 apply (zenon_L424_); trivial. % 1.14/1.30 apply (zenon_L842_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L838_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L7_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.30 apply (zenon_L253_); trivial. % 1.14/1.30 apply (zenon_L844_); trivial. % 1.14/1.30 apply (zenon_L672_); trivial. % 1.14/1.30 apply (zenon_L186_); trivial. % 1.14/1.30 apply (zenon_L156_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_L847_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L846_); trivial. % 1.14/1.30 apply (zenon_L448_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_L847_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L846_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L848_); trivial. % 1.14/1.30 apply (zenon_L831_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L848_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L163_); trivial. % 1.14/1.30 apply (zenon_L849_); trivial. % 1.14/1.30 apply (zenon_L850_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L830_); trivial. % 1.14/1.30 apply (zenon_L469_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L851_); trivial. % 1.14/1.30 apply (zenon_L852_); trivial. % 1.14/1.30 apply (zenon_L397_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_L474_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L828_); trivial. % 1.14/1.30 apply (zenon_L852_); trivial. % 1.14/1.30 apply (zenon_L413_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H16. zenon_intro zenon_H397. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H2d3. zenon_intro zenon_H398. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H2d2. zenon_intro zenon_H2d1. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H394 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L857_); trivial. % 1.14/1.30 apply (zenon_L572_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L857_); trivial. % 1.14/1.30 apply (zenon_L666_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L671_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_L862_); trivial. % 1.14/1.30 apply (zenon_L865_); trivial. % 1.14/1.30 apply (zenon_L867_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L868_); trivial. % 1.14/1.30 apply (zenon_L807_); trivial. % 1.14/1.30 apply (zenon_L312_); trivial. % 1.14/1.30 apply (zenon_L676_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L854_); trivial. % 1.14/1.30 apply (zenon_L870_); trivial. % 1.14/1.30 apply (zenon_L856_); trivial. % 1.14/1.30 apply (zenon_L815_); trivial. % 1.14/1.30 apply (zenon_L296_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L874_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L888_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L684_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_L476_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_L877_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.30 apply (zenon_L876_); trivial. % 1.14/1.30 apply (zenon_L885_); trivial. % 1.14/1.30 apply (zenon_L887_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L814_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L584_); trivial. % 1.14/1.30 apply (zenon_L887_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L54_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H156 | zenon_intro zenon_H175 ]. % 1.14/1.30 apply (zenon_L343_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16. zenon_intro zenon_H177. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H178. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H16b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.14/1.30 apply (zenon_L796_); trivial. % 1.14/1.30 apply (zenon_L889_); trivial. % 1.14/1.30 apply (zenon_L872_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.30 apply (zenon_L891_); trivial. % 1.14/1.30 apply (zenon_L892_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.14/1.30 apply (zenon_L357_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_H16. zenon_intro zenon_H185. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H186. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.30 apply (zenon_L891_); trivial. % 1.14/1.30 apply (zenon_L885_); trivial. % 1.14/1.30 apply (zenon_L898_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L874_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L888_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.30 apply (zenon_L207_); trivial. % 1.14/1.30 apply (zenon_L872_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.30 apply (zenon_L207_); trivial. % 1.14/1.30 apply (zenon_L885_); trivial. % 1.14/1.30 apply (zenon_L666_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L899_); trivial. % 1.14/1.30 apply (zenon_L296_); trivial. % 1.14/1.30 apply (zenon_L676_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L824_); trivial. % 1.14/1.30 apply (zenon_L732_); trivial. % 1.14/1.30 apply (zenon_L741_); trivial. % 1.14/1.30 apply (zenon_L743_); trivial. % 1.14/1.30 apply (zenon_L900_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H16. zenon_intro zenon_H395. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H2c4. zenon_intro zenon_H396. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H2c2. zenon_intro zenon_H2c3. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L830_); trivial. % 1.14/1.30 apply (zenon_L761_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L903_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_L862_); trivial. % 1.14/1.30 apply (zenon_L424_); trivial. % 1.14/1.30 apply (zenon_L667_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L903_); trivial. % 1.14/1.30 apply (zenon_L807_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L903_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L7_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.30 apply (zenon_L311_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L163_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_L476_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Heb ]. % 1.14/1.30 apply (zenon_L904_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hda | zenon_intro zenon_H62 ]. % 1.14/1.30 apply (zenon_L75_); trivial. % 1.14/1.30 apply (zenon_L336_); trivial. % 1.14/1.30 apply (zenon_L906_); trivial. % 1.14/1.30 apply (zenon_L530_); trivial. % 1.14/1.30 apply (zenon_L913_); trivial. % 1.14/1.30 apply (zenon_L424_); trivial. % 1.14/1.30 apply (zenon_L667_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L903_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L7_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L673_); trivial. % 1.14/1.30 apply (zenon_L914_); trivial. % 1.14/1.30 apply (zenon_L424_); trivial. % 1.14/1.30 apply (zenon_L842_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_L674_); trivial. % 1.14/1.30 apply (zenon_L901_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_L847_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L846_); trivial. % 1.14/1.30 apply (zenon_L772_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_L847_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L846_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L916_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L174_); trivial. % 1.14/1.30 apply (zenon_L915_); trivial. % 1.14/1.30 apply (zenon_L850_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L830_); trivial. % 1.14/1.30 apply (zenon_L732_); trivial. % 1.14/1.30 apply (zenon_L741_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L920_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L394_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L7_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H8e | zenon_intro zenon_Hb6 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.30 apply (zenon_L241_); trivial. % 1.14/1.30 apply (zenon_L421_); trivial. % 1.14/1.30 apply (zenon_L100_); trivial. % 1.14/1.30 apply (zenon_L363_); trivial. % 1.14/1.30 apply (zenon_L922_); trivial. % 1.14/1.30 apply (zenon_L715_); trivial. % 1.14/1.30 apply (zenon_L391_); trivial. % 1.14/1.30 apply (zenon_L742_); trivial. % 1.14/1.30 apply (zenon_L923_); trivial. % 1.14/1.30 apply (zenon_L900_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H16. zenon_intro zenon_H39b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H30c. zenon_intro zenon_H39c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H30a. zenon_intro zenon_H30b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H392 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H393 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H394 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_L255_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_L297_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L298_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L302_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hda | zenon_intro zenon_H1fb ]. % 1.14/1.30 apply (zenon_L155_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H62 ]. % 1.14/1.30 apply (zenon_L224_); trivial. % 1.14/1.30 apply (zenon_L926_); trivial. % 1.14/1.30 apply (zenon_L257_); trivial. % 1.14/1.30 apply (zenon_L295_); trivial. % 1.14/1.30 apply (zenon_L296_); trivial. % 1.14/1.30 apply (zenon_L254_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L323_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L314_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.14/1.30 apply (zenon_L4_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L327_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_L326_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.30 apply (zenon_L929_); trivial. % 1.14/1.30 apply (zenon_L318_); trivial. % 1.14/1.30 apply (zenon_L398_); trivial. % 1.14/1.30 apply (zenon_L400_); trivial. % 1.14/1.30 apply (zenon_L321_); trivial. % 1.14/1.30 apply (zenon_L330_); trivial. % 1.14/1.30 apply (zenon_L374_); trivial. % 1.14/1.30 apply (zenon_L389_); trivial. % 1.14/1.30 apply (zenon_L397_); trivial. % 1.14/1.30 apply (zenon_L414_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H16. zenon_intro zenon_H395. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H2c4. zenon_intro zenon_H396. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H2c2. zenon_intro zenon_H2c3. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_L437_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L439_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L419_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.14/1.30 apply (zenon_L4_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L290_); trivial. % 1.14/1.30 apply (zenon_L937_); trivial. % 1.14/1.30 apply (zenon_L258_); trivial. % 1.14/1.30 apply (zenon_L295_); trivial. % 1.14/1.30 apply (zenon_L296_); trivial. % 1.14/1.30 apply (zenon_L449_); trivial. % 1.14/1.30 apply (zenon_L462_); trivial. % 1.14/1.30 apply (zenon_L475_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H16. zenon_intro zenon_H397. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H2d3. zenon_intro zenon_H398. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H2d2. zenon_intro zenon_H2d1. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H394 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L940_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.14/1.30 apply (zenon_L4_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L485_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L942_); trivial. % 1.14/1.30 apply (zenon_L148_); trivial. % 1.14/1.30 apply (zenon_L492_); trivial. % 1.14/1.30 apply (zenon_L944_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_L949_); trivial. % 1.14/1.30 apply (zenon_L499_); trivial. % 1.14/1.30 apply (zenon_L950_); trivial. % 1.14/1.30 apply (zenon_L953_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_L949_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L525_); trivial. % 1.14/1.30 apply (zenon_L948_); trivial. % 1.14/1.30 apply (zenon_L950_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L566_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_L564_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L569_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L942_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.14/1.30 apply (zenon_L161_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.30 apply (zenon_L515_); trivial. % 1.14/1.30 apply (zenon_L947_); trivial. % 1.14/1.30 apply (zenon_L365_); trivial. % 1.14/1.30 apply (zenon_L182_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L940_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.14/1.30 apply (zenon_L4_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L581_); trivial. % 1.14/1.30 apply (zenon_L956_); trivial. % 1.14/1.30 apply (zenon_L492_); trivial. % 1.14/1.30 apply (zenon_L958_); trivial. % 1.14/1.30 apply (zenon_L972_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L943_); trivial. % 1.14/1.30 apply (zenon_L667_); trivial. % 1.14/1.30 apply (zenon_L944_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L671_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L7_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.30 apply (zenon_L974_); trivial. % 1.14/1.30 apply (zenon_L976_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L163_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_L476_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.30 apply (zenon_L508_); trivial. % 1.14/1.30 apply (zenon_L979_); trivial. % 1.14/1.30 apply (zenon_L365_); trivial. % 1.14/1.30 apply (zenon_L981_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_L476_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.30 apply (zenon_L522_); trivial. % 1.14/1.30 apply (zenon_L979_); trivial. % 1.14/1.30 apply (zenon_L365_); trivial. % 1.14/1.30 apply (zenon_L524_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.30 apply (zenon_L982_); trivial. % 1.14/1.30 apply (zenon_L976_); trivial. % 1.14/1.30 apply (zenon_L667_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L671_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L7_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.30 apply (zenon_L974_); trivial. % 1.14/1.30 apply (zenon_L182_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L569_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.30 apply (zenon_L982_); trivial. % 1.14/1.30 apply (zenon_L182_); trivial. % 1.14/1.30 apply (zenon_L151_); trivial. % 1.14/1.30 apply (zenon_L676_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L940_); trivial. % 1.14/1.30 apply (zenon_L678_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L940_); trivial. % 1.14/1.30 apply (zenon_L438_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L940_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.14/1.30 apply (zenon_L4_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L685_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L939_); trivial. % 1.14/1.30 apply (zenon_L293_); trivial. % 1.14/1.30 apply (zenon_L257_); trivial. % 1.14/1.30 apply (zenon_L258_); trivial. % 1.14/1.30 apply (zenon_L295_); trivial. % 1.14/1.30 apply (zenon_L296_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_L687_); trivial. % 1.14/1.30 apply (zenon_L984_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L940_); trivial. % 1.14/1.30 apply (zenon_L694_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L957_); trivial. % 1.14/1.30 apply (zenon_L592_); trivial. % 1.14/1.30 apply (zenon_L972_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L671_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L940_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_L476_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.14/1.30 apply (zenon_L986_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.14/1.30 apply (zenon_L695_); trivial. % 1.14/1.30 apply (zenon_L305_); trivial. % 1.14/1.30 apply (zenon_L988_); trivial. % 1.14/1.30 apply (zenon_L257_); trivial. % 1.14/1.30 apply (zenon_L295_); trivial. % 1.14/1.30 apply (zenon_L296_); trivial. % 1.14/1.30 apply (zenon_L699_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L702_); trivial. % 1.14/1.30 apply (zenon_L996_); trivial. % 1.14/1.30 apply (zenon_L997_); trivial. % 1.14/1.30 apply (zenon_L1000_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H16. zenon_intro zenon_H395. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H2c4. zenon_intro zenon_H396. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H2c2. zenon_intro zenon_H2c3. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1002_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5 | zenon_intro zenon_H147 ]. % 1.14/1.30 apply (zenon_L4_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H16. zenon_intro zenon_H148. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H96. zenon_intro zenon_H149. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H95. zenon_intro zenon_H93. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_L476_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H164 | zenon_intro zenon_H183 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.30 apply (zenon_L465_); trivial. % 1.14/1.30 apply (zenon_L101_); trivial. % 1.14/1.30 apply (zenon_L1003_); trivial. % 1.14/1.30 apply (zenon_L148_); trivial. % 1.14/1.30 apply (zenon_L484_); trivial. % 1.14/1.30 apply (zenon_L1001_); trivial. % 1.14/1.30 apply (zenon_L424_); trivial. % 1.14/1.30 apply (zenon_L1004_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1002_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L174_); trivial. % 1.14/1.30 apply (zenon_L1001_); trivial. % 1.14/1.30 apply (zenon_L436_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L7_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L939_); trivial. % 1.14/1.30 apply (zenon_L936_); trivial. % 1.14/1.30 apply (zenon_L25_); trivial. % 1.14/1.30 apply (zenon_L678_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L7_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H34. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H19. zenon_intro zenon_H35. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H1a. zenon_intro zenon_H18. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L1007_); trivial. % 1.14/1.30 apply (zenon_L936_); trivial. % 1.14/1.30 apply (zenon_L25_); trivial. % 1.14/1.30 apply (zenon_L438_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1010_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L685_); trivial. % 1.14/1.30 apply (zenon_L1009_); trivial. % 1.14/1.30 apply (zenon_L258_); trivial. % 1.14/1.30 apply (zenon_L295_); trivial. % 1.14/1.30 apply (zenon_L296_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_L687_); trivial. % 1.14/1.30 apply (zenon_L1013_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1012_); trivial. % 1.14/1.30 apply (zenon_L694_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1012_); trivial. % 1.14/1.30 apply (zenon_L768_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1012_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_L174_); trivial. % 1.14/1.30 apply (zenon_L1011_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L450_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.14/1.30 apply (zenon_L10_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H16. zenon_intro zenon_H2f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H22. zenon_intro zenon_H30. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H23. zenon_intro zenon_H24. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.14/1.30 apply (zenon_L415_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H72 | zenon_intro zenon_H290 ]. % 1.14/1.30 apply (zenon_L986_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hf3 ]. % 1.14/1.30 apply (zenon_L223_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H72 | zenon_intro zenon_H1dd ]. % 1.14/1.30 apply (zenon_L986_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H17 ]. % 1.14/1.30 apply (zenon_L453_); trivial. % 1.14/1.30 apply (zenon_L1014_); trivial. % 1.14/1.30 exact (zenon_H4b zenon_H4c). % 1.14/1.30 apply (zenon_L257_); trivial. % 1.14/1.30 apply (zenon_L424_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L450_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1de | zenon_intro zenon_H292 ]. % 1.14/1.30 apply (zenon_L415_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H92 | zenon_intro zenon_H4c ]. % 1.14/1.30 apply (zenon_L1015_); trivial. % 1.14/1.30 exact (zenon_H4b zenon_H4c). % 1.14/1.30 apply (zenon_L257_); trivial. % 1.14/1.30 apply (zenon_L295_); trivial. % 1.14/1.30 apply (zenon_L296_); trivial. % 1.14/1.30 apply (zenon_L699_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L1016_); trivial. % 1.14/1.30 apply (zenon_L996_); trivial. % 1.14/1.30 apply (zenon_L997_); trivial. % 1.14/1.30 apply (zenon_L1000_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H16. zenon_intro zenon_H399. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_H302. zenon_intro zenon_H39a. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_H300. zenon_intro zenon_H301. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H393 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H394 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1020_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_L777_); trivial. % 1.14/1.30 apply (zenon_L1019_); trivial. % 1.14/1.30 apply (zenon_L1022_); trivial. % 1.14/1.30 apply (zenon_L1024_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L791_); trivial. % 1.14/1.30 apply (zenon_L1034_); trivial. % 1.14/1.30 apply (zenon_L1036_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1037_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L227_); trivial. % 1.14/1.30 apply (zenon_L776_); trivial. % 1.14/1.30 apply (zenon_L1024_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L791_); trivial. % 1.14/1.30 apply (zenon_L1038_); trivial. % 1.14/1.30 apply (zenon_L1036_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_L1039_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L791_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1035_); trivial. % 1.14/1.30 apply (zenon_L1040_); trivial. % 1.14/1.30 apply (zenon_L1036_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L824_); trivial. % 1.14/1.30 apply (zenon_L1043_); trivial. % 1.14/1.30 apply (zenon_L1044_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_L1046_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L828_); trivial. % 1.14/1.30 apply (zenon_L1050_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H16. zenon_intro zenon_H395. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H2c4. zenon_intro zenon_H396. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H2c2. zenon_intro zenon_H2c3. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_L1053_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L830_); trivial. % 1.14/1.30 apply (zenon_L1043_); trivial. % 1.14/1.30 apply (zenon_L1044_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_L1046_); trivial. % 1.14/1.30 apply (zenon_L1054_); trivial. % 1.14/1.30 apply (zenon_L1060_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H16. zenon_intro zenon_H397. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H2d3. zenon_intro zenon_H398. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H2d2. zenon_intro zenon_H2d1. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H394 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L1069_); trivial. % 1.14/1.30 apply (zenon_L1022_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_L1064_); trivial. % 1.14/1.30 apply (zenon_L1070_); trivial. % 1.14/1.30 apply (zenon_L1071_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L1073_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1087_); trivial. % 1.14/1.30 apply (zenon_L1023_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L1069_); trivial. % 1.14/1.30 apply (zenon_L1034_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1089_); trivial. % 1.14/1.30 apply (zenon_L151_); trivial. % 1.14/1.30 apply (zenon_L1070_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_L1018_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L786_); trivial. % 1.14/1.30 apply (zenon_L1090_); trivial. % 1.14/1.30 apply (zenon_L151_); trivial. % 1.14/1.30 apply (zenon_L1094_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L868_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1021_); trivial. % 1.14/1.30 apply (zenon_L867_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L671_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_L1018_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L1083_); trivial. % 1.14/1.30 apply (zenon_L981_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L1086_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.30 apply (zenon_L522_); trivial. % 1.14/1.30 apply (zenon_L980_); trivial. % 1.14/1.30 apply (zenon_L523_); trivial. % 1.14/1.30 apply (zenon_L1017_); trivial. % 1.14/1.30 apply (zenon_L1023_); trivial. % 1.14/1.30 apply (zenon_L676_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H16. zenon_intro zenon_H2c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H27e. zenon_intro zenon_H2c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H27f. zenon_intro zenon_H27d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1061_); trivial. % 1.14/1.30 apply (zenon_L870_); trivial. % 1.14/1.30 apply (zenon_L1098_); trivial. % 1.14/1.30 apply (zenon_L815_); trivial. % 1.14/1.30 apply (zenon_L295_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_L1018_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L163_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L1063_); trivial. % 1.14/1.30 apply (zenon_L1103_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L1063_); trivial. % 1.14/1.30 apply (zenon_L1104_); trivial. % 1.14/1.30 apply (zenon_L1017_); trivial. % 1.14/1.30 apply (zenon_L1023_); trivial. % 1.14/1.30 apply (zenon_L1072_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_L1018_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H16. zenon_intro zenon_H5f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H39. zenon_intro zenon_H60. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H214 | zenon_intro zenon_H22b ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L163_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L1107_); trivial. % 1.14/1.30 apply (zenon_L1103_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H16. zenon_intro zenon_H22c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H21c. zenon_intro zenon_H22d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H223. zenon_intro zenon_H21b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L1107_); trivial. % 1.14/1.30 apply (zenon_L1104_); trivial. % 1.14/1.30 apply (zenon_L1017_); trivial. % 1.14/1.30 apply (zenon_L1023_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H16. zenon_intro zenon_H256. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H242. zenon_intro zenon_H257. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1089_); trivial. % 1.14/1.30 apply (zenon_L873_); trivial. % 1.14/1.30 apply (zenon_L1098_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1109_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L814_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_L476_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_L877_); trivial. % 1.14/1.30 apply (zenon_L1112_); trivial. % 1.14/1.30 apply (zenon_L887_); trivial. % 1.14/1.30 apply (zenon_L1108_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H16. zenon_intro zenon_H240. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ff. zenon_intro zenon_H241. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1fd. zenon_intro zenon_H1fe. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H7c | zenon_intro zenon_H24d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1089_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L1063_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_L1114_); trivial. % 1.14/1.30 apply (zenon_L498_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H16. zenon_intro zenon_H24e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H14c. zenon_intro zenon_H24f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H14a. zenon_intro zenon_H14b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1065_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_L1116_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H16. zenon_intro zenon_H1d4. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1cb. zenon_intro zenon_H1d5. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1ca. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_L1114_); trivial. % 1.14/1.30 apply (zenon_L197_); trivial. % 1.14/1.30 apply (zenon_L94_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H16. zenon_intro zenon_H207. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a5. zenon_intro zenon_H208. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1a6. zenon_intro zenon_H1a4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a1 ]. % 1.14/1.30 apply (zenon_L1109_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H16. zenon_intro zenon_H1a2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H64. zenon_intro zenon_H1a3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H65. zenon_intro zenon_H63. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H1 | zenon_intro zenon_H5e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L814_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H104 | zenon_intro zenon_H13f ]. % 1.14/1.30 apply (zenon_L476_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H16. zenon_intro zenon_H140. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H135. zenon_intro zenon_H141. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H134. zenon_intro zenon_H142. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6c | zenon_intro zenon_Hbc ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.14/1.30 apply (zenon_L796_); trivial. % 1.14/1.30 apply (zenon_L1115_); trivial. % 1.14/1.30 apply (zenon_L872_); trivial. % 1.14/1.30 apply (zenon_L1112_); trivial. % 1.14/1.30 apply (zenon_L887_); trivial. % 1.14/1.30 apply (zenon_L1117_); trivial. % 1.14/1.30 apply (zenon_L1094_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H16. zenon_intro zenon_H27b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H261. zenon_intro zenon_H27c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H262. zenon_intro zenon_H260. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H11b | zenon_intro zenon_H255 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L899_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H16. zenon_intro zenon_H253. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H20c. zenon_intro zenon_H254. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H20d. zenon_intro zenon_H20b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha2 | zenon_intro zenon_He7 ]. % 1.14/1.30 apply (zenon_L163_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_H16. zenon_intro zenon_He9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hc5. zenon_intro zenon_Hea. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H168 | zenon_intro zenon_H191 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H23d ]. % 1.14/1.30 apply (zenon_L921_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H238 | zenon_intro zenon_H11c ]. % 1.14/1.30 apply (zenon_L256_); trivial. % 1.14/1.30 exact (zenon_H11b zenon_H11c). % 1.14/1.30 apply (zenon_L1118_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H16. zenon_intro zenon_H193. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H18a. zenon_intro zenon_H194. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H188. zenon_intro zenon_H189. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hef | zenon_intro zenon_H108 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H49 | zenon_intro zenon_H56 ]. % 1.14/1.30 apply (zenon_L196_); trivial. % 1.14/1.30 apply (zenon_L1100_); trivial. % 1.14/1.30 apply (zenon_L1119_); trivial. % 1.14/1.30 apply (zenon_L1017_); trivial. % 1.14/1.30 apply (zenon_L676_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H23f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H206 ]. % 1.14/1.30 apply (zenon_L1123_); trivial. % 1.14/1.30 apply (zenon_L823_); trivial. % 1.14/1.30 apply (zenon_L330_); trivial. % 1.14/1.30 apply (zenon_L1128_); trivial. % 1.14/1.30 apply (zenon_L1130_); trivial. % 1.14/1.30 apply (zenon_L1140_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H16. zenon_intro zenon_H395. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H2c4. zenon_intro zenon_H396. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H2c2. zenon_intro zenon_H2c3. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H4b | zenon_intro zenon_H2cd ]. % 1.14/1.30 apply (zenon_L1053_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H16. zenon_intro zenon_H2cf. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29f. zenon_intro zenon_H2d0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H29d. zenon_intro zenon_H29e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_He3 | zenon_intro zenon_H2bf ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H3 | zenon_intro zenon_H27a ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H47 | zenon_intro zenon_H252 ]. % 1.14/1.30 apply (zenon_L830_); trivial. % 1.14/1.30 apply (zenon_L1128_); trivial. % 1.14/1.30 apply (zenon_L1130_); trivial. % 1.14/1.30 apply (zenon_L1140_); trivial. % 1.14/1.30 Qed. % 1.14/1.30 % SZS output end Proof % 1.14/1.30 (* END-PROOF *) % 1.14/1.30 nodes searched: 44035 % 1.14/1.30 max branch formulas: 434 % 1.14/1.30 proof nodes created: 7710 % 1.14/1.30 formulas created: 40308 % 1.14/1.30 %------------------------------------------------------------------------------