%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN471+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 21 13:53:13 EDT 2022 % Result : Theorem 0.84s 1.03s % Output : Proof 0.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SYN471+1 : TPTP v8.1.0. Released v2.1.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n024.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 15:24:28 EDT 2022 % 0.12/0.33 % CPUTime : % 0.84/1.03 (* PROOF-FOUND *) % 0.84/1.03 % SZS status Theorem % 0.84/1.03 (* BEGIN-PROOF *) % 0.84/1.03 % SZS output start Proof % 0.84/1.03 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c2_1 (a593))/\((~(c0_1 (a593)))/\(~(c3_1 (a593)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a594))/\((c1_1 (a594))/\(~(c3_1 (a594)))))))/\(((~(hskp2))\/((ndr1_0)/\((c2_1 (a596))/\((~(c0_1 (a596)))/\(~(c1_1 (a596)))))))/\(((~(hskp3))\/((ndr1_0)/\((c1_1 (a597))/\((c2_1 (a597))/\(~(c3_1 (a597)))))))/\(((~(hskp4))\/((ndr1_0)/\((~(c0_1 (a598)))/\((~(c1_1 (a598)))/\(~(c2_1 (a598)))))))/\(((~(hskp5))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))))/\(((~(hskp6))\/((ndr1_0)/\((c3_1 (a600))/\((~(c1_1 (a600)))/\(~(c2_1 (a600)))))))/\(((~(hskp7))\/((ndr1_0)/\((c2_1 (a602))/\((c3_1 (a602))/\(~(c0_1 (a602)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c2_1 (a603)))))))/\(((~(hskp9))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c0_1 (a604)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605)))))))/\(((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608)))))))/\(((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624)))))))/\(((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))))/\(((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627)))))))/\(((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631)))))))/\(((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644)))))))/\(((~(hskp23))\/((ndr1_0)/\((c3_1 (a645))/\((~(c0_1 (a645)))/\(~(c2_1 (a645)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656)))))))/\(((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667)))))))/\(((~(hskp27))\/((ndr1_0)/\((~(c1_1 (a690)))/\((~(c2_1 (a690)))/\(~(c3_1 (a690)))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp28)\/(hskp2)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp3)\/(hskp4)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp5)\/(hskp6)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp5)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp7)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/(hskp8)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28)))/\(((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11)))/\(((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12)))/\(((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp10)\/(hskp5)))/\(((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7)))/\(((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))))/\(((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp29)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16)))/\(((forall X66 : zenon_U, ((ndr1_0)->((c1_1 X66)\/((c2_1 X66)\/(c3_1 X66)))))\/((hskp14)\/(hskp4)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12)))/\(((forall X69 : zenon_U, ((ndr1_0)->((c1_1 X69)\/((c2_1 X69)\/(~(c3_1 X69))))))\/((hskp17)\/(hskp18)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7)))/\(((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp14)\/(hskp5)))/\(((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((hskp19)\/(hskp28)))/\(((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))))/\(((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp18)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp8)\/(hskp4)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp23)\/(hskp22)))/\(((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6)))/\(((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17)))/\(((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14))/\(((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4)))/\(((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25))/\(((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/((hskp0)\/(hskp22)))/\(((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16)))/\(((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2)))/\(((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18)))/\(((hskp30)\/((hskp3)\/(hskp26)))/\(((hskp29)\/((hskp25)\/(hskp23)))/\(((hskp1)\/((hskp31)\/(hskp24)))/\(((hskp1)\/((hskp21)\/(hskp4)))/\(((hskp10)\/((hskp28)\/(hskp2)))/\(((hskp10)\/((hskp9)\/(hskp12)))/\(((hskp10)\/((hskp12)\/(hskp18)))/\(((hskp9)\/(hskp24))/\((hskp3)\/((hskp13)\/(hskp27))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.84/1.03 Proof. % 0.84/1.03 assert (zenon_L1_ : (~(hskp10)) -> (hskp10) -> False). % 0.84/1.03 do 0 intro. intros zenon_H1 zenon_H2. % 0.84/1.03 exact (zenon_H1 zenon_H2). % 0.84/1.03 (* end of lemma zenon_L1_ *) % 0.84/1.03 assert (zenon_L2_ : (~(hskp9)) -> (hskp9) -> False). % 0.84/1.03 do 0 intro. intros zenon_H3 zenon_H4. % 0.84/1.03 exact (zenon_H3 zenon_H4). % 0.84/1.03 (* end of lemma zenon_L2_ *) % 0.84/1.03 assert (zenon_L3_ : (~(hskp12)) -> (hskp12) -> False). % 0.84/1.03 do 0 intro. intros zenon_H5 zenon_H6. % 0.84/1.03 exact (zenon_H5 zenon_H6). % 0.84/1.03 (* end of lemma zenon_L3_ *) % 0.84/1.03 assert (zenon_L4_ : ((hskp10)\/((hskp9)\/(hskp12))) -> (~(hskp10)) -> (~(hskp9)) -> (~(hskp12)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.84/1.03 exact (zenon_H1 zenon_H2). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.84/1.03 exact (zenon_H3 zenon_H4). % 0.84/1.03 exact (zenon_H5 zenon_H6). % 0.84/1.03 (* end of lemma zenon_L4_ *) % 0.84/1.03 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.84/1.03 do 0 intro. intros zenon_H9 zenon_Ha. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 (* end of lemma zenon_L5_ *) % 0.84/1.03 assert (zenon_L6_ : (forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36)))))) -> (ndr1_0) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He. % 0.84/1.03 generalize (zenon_Hb (a609)). zenon_intro zenon_Hf. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.84/1.03 exact (zenon_Hc zenon_H12). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.84/1.03 exact (zenon_Hd zenon_H14). % 0.84/1.03 exact (zenon_H13 zenon_He). % 0.84/1.03 (* end of lemma zenon_L6_ *) % 0.84/1.03 assert (zenon_L7_ : (~(hskp19)) -> (hskp19) -> False). % 0.84/1.03 do 0 intro. intros zenon_H15 zenon_H16. % 0.84/1.03 exact (zenon_H15 zenon_H16). % 0.84/1.03 (* end of lemma zenon_L7_ *) % 0.84/1.03 assert (zenon_L8_ : (~(hskp7)) -> (hskp7) -> False). % 0.84/1.03 do 0 intro. intros zenon_H17 zenon_H18. % 0.84/1.03 exact (zenon_H17 zenon_H18). % 0.84/1.03 (* end of lemma zenon_L8_ *) % 0.84/1.03 assert (zenon_L9_ : ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp7)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H19 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H17. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.84/1.03 apply (zenon_L6_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.84/1.03 exact (zenon_H15 zenon_H16). % 0.84/1.03 exact (zenon_H17 zenon_H18). % 0.84/1.03 (* end of lemma zenon_L9_ *) % 0.84/1.03 assert (zenon_L10_ : (~(hskp1)) -> (hskp1) -> False). % 0.84/1.03 do 0 intro. intros zenon_H1b zenon_H1c. % 0.84/1.03 exact (zenon_H1b zenon_H1c). % 0.84/1.03 (* end of lemma zenon_L10_ *) % 0.84/1.03 assert (zenon_L11_ : (~(hskp24)) -> (hskp24) -> False). % 0.84/1.03 do 0 intro. intros zenon_H1d zenon_H1e. % 0.84/1.03 exact (zenon_H1d zenon_H1e). % 0.84/1.03 (* end of lemma zenon_L11_ *) % 0.84/1.03 assert (zenon_L12_ : ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(hskp31)) -> (~(hskp24)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H1f zenon_H1b zenon_H20 zenon_H1d. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H1c | zenon_intro zenon_H21 ]. % 0.84/1.03 exact (zenon_H1b zenon_H1c). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H22 | zenon_intro zenon_H1e ]. % 0.84/1.03 exact (zenon_H20 zenon_H22). % 0.84/1.03 exact (zenon_H1d zenon_H1e). % 0.84/1.03 (* end of lemma zenon_L12_ *) % 0.84/1.03 assert (zenon_L13_ : (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2)))))) -> (ndr1_0) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H23 zenon_Ha zenon_H24 zenon_H25 zenon_H26. % 0.84/1.03 generalize (zenon_H23 (a627)). zenon_intro zenon_H27. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H9 | zenon_intro zenon_H28 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.84/1.03 exact (zenon_H24 zenon_H2a). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.84/1.03 exact (zenon_H25 zenon_H2c). % 0.84/1.03 exact (zenon_H2b zenon_H26). % 0.84/1.03 (* end of lemma zenon_L13_ *) % 0.84/1.03 assert (zenon_L14_ : (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (c0_1 (a672)) -> (c2_1 (a672)) -> (c3_1 (a672)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H2d zenon_Ha zenon_H2e zenon_H2f zenon_H30. % 0.84/1.03 generalize (zenon_H2d (a672)). zenon_intro zenon_H31. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ]. % 0.84/1.03 exact (zenon_H34 zenon_H2e). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ]. % 0.84/1.03 exact (zenon_H36 zenon_H2f). % 0.84/1.03 exact (zenon_H35 zenon_H30). % 0.84/1.03 (* end of lemma zenon_L14_ *) % 0.84/1.03 assert (zenon_L15_ : (~(hskp30)) -> (hskp30) -> False). % 0.84/1.03 do 0 intro. intros zenon_H37 zenon_H38. % 0.84/1.03 exact (zenon_H37 zenon_H38). % 0.84/1.03 (* end of lemma zenon_L15_ *) % 0.84/1.03 assert (zenon_L16_ : ((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (~(hskp30)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H39 zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H37. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H23 | zenon_intro zenon_H3d ]. % 0.84/1.03 apply (zenon_L13_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H2d | zenon_intro zenon_H38 ]. % 0.84/1.03 apply (zenon_L14_); trivial. % 0.84/1.03 exact (zenon_H37 zenon_H38). % 0.84/1.03 (* end of lemma zenon_L16_ *) % 0.84/1.03 assert (zenon_L17_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(hskp30)) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H3e zenon_H3a zenon_H37 zenon_H26 zenon_H25 zenon_H24 zenon_H1b zenon_H1d zenon_H1f. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.03 apply (zenon_L12_); trivial. % 0.84/1.03 apply (zenon_L16_); trivial. % 0.84/1.03 (* end of lemma zenon_L17_ *) % 0.84/1.03 assert (zenon_L18_ : (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (c0_1 (a637)) -> (c1_1 (a637)) -> (c2_1 (a637)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H3f zenon_Ha zenon_H40 zenon_H41 zenon_H42. % 0.84/1.03 generalize (zenon_H3f (a637)). zenon_intro zenon_H43. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H9 | zenon_intro zenon_H44 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ]. % 0.84/1.03 exact (zenon_H46 zenon_H40). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 0.84/1.03 exact (zenon_H48 zenon_H41). % 0.84/1.03 exact (zenon_H47 zenon_H42). % 0.84/1.03 (* end of lemma zenon_L18_ *) % 0.84/1.03 assert (zenon_L19_ : (~(hskp29)) -> (hskp29) -> False). % 0.84/1.03 do 0 intro. intros zenon_H49 zenon_H4a. % 0.84/1.03 exact (zenon_H49 zenon_H4a). % 0.84/1.03 (* end of lemma zenon_L19_ *) % 0.84/1.03 assert (zenon_L20_ : (~(hskp16)) -> (hskp16) -> False). % 0.84/1.03 do 0 intro. intros zenon_H4b zenon_H4c. % 0.84/1.03 exact (zenon_H4b zenon_H4c). % 0.84/1.03 (* end of lemma zenon_L20_ *) % 0.84/1.03 assert (zenon_L21_ : ((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> (~(hskp29)) -> (~(hskp16)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H4d zenon_H4e zenon_H49 zenon_H4b. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3f | zenon_intro zenon_H51 ]. % 0.84/1.03 apply (zenon_L18_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H4a | zenon_intro zenon_H4c ]. % 0.84/1.03 exact (zenon_H49 zenon_H4a). % 0.84/1.03 exact (zenon_H4b zenon_H4c). % 0.84/1.03 (* end of lemma zenon_L21_ *) % 0.84/1.03 assert (zenon_L22_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (~(hskp29)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp24)) -> (~(hskp1)) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H52 zenon_H4e zenon_H4b zenon_H49 zenon_H1f zenon_H1d zenon_H1b zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.84/1.03 apply (zenon_L17_); trivial. % 0.84/1.03 apply (zenon_L21_); trivial. % 0.84/1.03 (* end of lemma zenon_L22_ *) % 0.84/1.03 assert (zenon_L23_ : (~(hskp18)) -> (hskp18) -> False). % 0.84/1.03 do 0 intro. intros zenon_H53 zenon_H54. % 0.84/1.03 exact (zenon_H53 zenon_H54). % 0.84/1.03 (* end of lemma zenon_L23_ *) % 0.84/1.03 assert (zenon_L24_ : ((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> (~(hskp18)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H55 zenon_H56 zenon_He zenon_Hd zenon_Hc zenon_H53. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_Hb | zenon_intro zenon_H5c ]. % 0.84/1.03 apply (zenon_L6_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5d | zenon_intro zenon_H54 ]. % 0.84/1.03 generalize (zenon_H5d (a618)). zenon_intro zenon_H5e. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H5e); [ zenon_intro zenon_H9 | zenon_intro zenon_H5f ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H61 | zenon_intro zenon_H60 ]. % 0.84/1.03 exact (zenon_H61 zenon_H59). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ]. % 0.84/1.03 exact (zenon_H63 zenon_H5b). % 0.84/1.03 exact (zenon_H62 zenon_H5a). % 0.84/1.03 exact (zenon_H53 zenon_H54). % 0.84/1.03 (* end of lemma zenon_L24_ *) % 0.84/1.03 assert (zenon_L25_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H64 zenon_H56 zenon_H53 zenon_He zenon_Hd zenon_Hc zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H1b zenon_H1d zenon_H1f zenon_H4b zenon_H4e zenon_H52. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.84/1.03 apply (zenon_L22_); trivial. % 0.84/1.03 apply (zenon_L24_); trivial. % 0.84/1.03 (* end of lemma zenon_L25_ *) % 0.84/1.03 assert (zenon_L26_ : (forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H65 zenon_Ha zenon_H66 zenon_H67 zenon_H68. % 0.84/1.03 generalize (zenon_H65 (a651)). zenon_intro zenon_H69. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H69); [ zenon_intro zenon_H9 | zenon_intro zenon_H6a ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 0.84/1.03 exact (zenon_H66 zenon_H6c). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ]. % 0.84/1.03 exact (zenon_H6e zenon_H67). % 0.84/1.03 exact (zenon_H6d zenon_H68). % 0.84/1.03 (* end of lemma zenon_L26_ *) % 0.84/1.03 assert (zenon_L27_ : (~(hskp5)) -> (hskp5) -> False). % 0.84/1.03 do 0 intro. intros zenon_H6f zenon_H70. % 0.84/1.03 exact (zenon_H6f zenon_H70). % 0.84/1.03 (* end of lemma zenon_L27_ *) % 0.84/1.03 assert (zenon_L28_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> (~(hskp10)) -> (~(hskp5)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H71 zenon_H72 zenon_H1 zenon_H6f. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H65 | zenon_intro zenon_H75 ]. % 0.84/1.03 apply (zenon_L26_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H2 | zenon_intro zenon_H70 ]. % 0.84/1.03 exact (zenon_H1 zenon_H2). % 0.84/1.03 exact (zenon_H6f zenon_H70). % 0.84/1.03 (* end of lemma zenon_L28_ *) % 0.84/1.03 assert (zenon_L29_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> (~(hskp5)) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> (~(hskp18)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (ndr1_0) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H76 zenon_H77 zenon_H72 zenon_H6f zenon_H1 zenon_H52 zenon_H4e zenon_H4b zenon_H1f zenon_H1b zenon_H3a zenon_H3e zenon_H53 zenon_H56 zenon_H64 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.84/1.03 apply (zenon_L9_); trivial. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.03 apply (zenon_L25_); trivial. % 0.84/1.03 apply (zenon_L28_); trivial. % 0.84/1.03 (* end of lemma zenon_L29_ *) % 0.84/1.03 assert (zenon_L30_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H7b zenon_Ha zenon_H7c zenon_H7d zenon_H7e. % 0.84/1.03 generalize (zenon_H7b (a625)). zenon_intro zenon_H7f. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H7f); [ zenon_intro zenon_H9 | zenon_intro zenon_H80 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 0.84/1.03 exact (zenon_H7c zenon_H82). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ]. % 0.84/1.03 exact (zenon_H7d zenon_H84). % 0.84/1.03 exact (zenon_H83 zenon_H7e). % 0.84/1.03 (* end of lemma zenon_L30_ *) % 0.84/1.03 assert (zenon_L31_ : (~(hskp6)) -> (hskp6) -> False). % 0.84/1.03 do 0 intro. intros zenon_H85 zenon_H86. % 0.84/1.03 exact (zenon_H85 zenon_H86). % 0.84/1.03 (* end of lemma zenon_L31_ *) % 0.84/1.03 assert (zenon_L32_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H87 zenon_H88 zenon_H6f zenon_H85. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H7b | zenon_intro zenon_H8b ]. % 0.84/1.03 apply (zenon_L30_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H70 | zenon_intro zenon_H86 ]. % 0.84/1.03 exact (zenon_H6f zenon_H70). % 0.84/1.03 exact (zenon_H85 zenon_H86). % 0.84/1.03 (* end of lemma zenon_L32_ *) % 0.84/1.03 assert (zenon_L33_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> (~(hskp10)) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H8c zenon_H88 zenon_H85 zenon_H19 zenon_H17 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H64 zenon_H56 zenon_H3e zenon_H3a zenon_H1b zenon_H1f zenon_H4b zenon_H4e zenon_H52 zenon_H1 zenon_H6f zenon_H72 zenon_H77 zenon_H76. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.03 apply (zenon_L29_); trivial. % 0.84/1.03 apply (zenon_L32_); trivial. % 0.84/1.03 (* end of lemma zenon_L33_ *) % 0.84/1.03 assert (zenon_L34_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (ndr1_0) -> (~(c0_1 (a620))) -> (~(c2_1 (a620))) -> (c1_1 (a620)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H8d zenon_Ha zenon_H8e zenon_H8f zenon_H90. % 0.84/1.03 generalize (zenon_H8d (a620)). zenon_intro zenon_H91. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H91); [ zenon_intro zenon_H9 | zenon_intro zenon_H92 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H94 | zenon_intro zenon_H93 ]. % 0.84/1.03 exact (zenon_H8e zenon_H94). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H96 | zenon_intro zenon_H95 ]. % 0.84/1.03 exact (zenon_H8f zenon_H96). % 0.84/1.03 exact (zenon_H95 zenon_H90). % 0.84/1.03 (* end of lemma zenon_L34_ *) % 0.84/1.03 assert (zenon_L35_ : ((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H39 zenon_H97 zenon_H90 zenon_H8f zenon_H8e zenon_He zenon_Hd zenon_Hc. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8d | zenon_intro zenon_H98 ]. % 0.84/1.03 apply (zenon_L34_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.84/1.03 apply (zenon_L6_); trivial. % 0.84/1.03 apply (zenon_L14_); trivial. % 0.84/1.03 (* end of lemma zenon_L35_ *) % 0.84/1.03 assert (zenon_L36_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H3e zenon_H97 zenon_He zenon_Hd zenon_Hc zenon_H90 zenon_H8f zenon_H8e zenon_H1b zenon_H1d zenon_H1f. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.03 apply (zenon_L12_); trivial. % 0.84/1.03 apply (zenon_L35_); trivial. % 0.84/1.03 (* end of lemma zenon_L36_ *) % 0.84/1.03 assert (zenon_L37_ : ((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> (~(hskp5)) -> (~(hskp10)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H99 zenon_H77 zenon_H72 zenon_H6f zenon_H1 zenon_H1f zenon_H1b zenon_Hc zenon_Hd zenon_He zenon_H97 zenon_H3e. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.03 apply (zenon_L36_); trivial. % 0.84/1.03 apply (zenon_L28_); trivial. % 0.84/1.03 (* end of lemma zenon_L37_ *) % 0.84/1.03 assert (zenon_L38_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> (~(hskp5)) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (ndr1_0) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp5)\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H9c zenon_H97 zenon_H76 zenon_H77 zenon_H72 zenon_H6f zenon_H1 zenon_H52 zenon_H4e zenon_H1f zenon_H1b zenon_H3a zenon_H3e zenon_H56 zenon_H64 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19 zenon_H85 zenon_H88 zenon_H8c. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.84/1.03 apply (zenon_L33_); trivial. % 0.84/1.03 apply (zenon_L37_); trivial. % 0.84/1.03 (* end of lemma zenon_L38_ *) % 0.84/1.03 assert (zenon_L39_ : (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H9d zenon_Ha zenon_H9e zenon_H9f zenon_Ha0. % 0.84/1.03 generalize (zenon_H9d (a605)). zenon_intro zenon_Ha1. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_Ha1); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha2 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha3 ]. % 0.84/1.03 exact (zenon_H9e zenon_Ha4). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha5 ]. % 0.84/1.03 exact (zenon_Ha6 zenon_H9f). % 0.84/1.03 exact (zenon_Ha5 zenon_Ha0). % 0.84/1.03 (* end of lemma zenon_L39_ *) % 0.84/1.03 assert (zenon_L40_ : (~(hskp14)) -> (hskp14) -> False). % 0.84/1.03 do 0 intro. intros zenon_Ha7 zenon_Ha8. % 0.84/1.03 exact (zenon_Ha7 zenon_Ha8). % 0.84/1.03 (* end of lemma zenon_L40_ *) % 0.84/1.03 assert (zenon_L41_ : ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (~(hskp14)) -> (c2_1 (a605)) -> (c0_1 (a605)) -> (~(c3_1 (a605))) -> (ndr1_0) -> False). % 0.84/1.03 do 0 intro. intros zenon_Ha9 zenon_Ha7 zenon_Ha0 zenon_H9f zenon_H9e zenon_Ha. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9d | zenon_intro zenon_Ha8 ]. % 0.84/1.03 apply (zenon_L39_); trivial. % 0.84/1.03 exact (zenon_Ha7 zenon_Ha8). % 0.84/1.03 (* end of lemma zenon_L41_ *) % 0.84/1.03 assert (zenon_L42_ : (~(hskp21)) -> (hskp21) -> False). % 0.84/1.03 do 0 intro. intros zenon_Haa zenon_Hab. % 0.84/1.03 exact (zenon_Haa zenon_Hab). % 0.84/1.03 (* end of lemma zenon_L42_ *) % 0.84/1.03 assert (zenon_L43_ : (~(hskp4)) -> (hskp4) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hac zenon_Had. % 0.84/1.03 exact (zenon_Hac zenon_Had). % 0.84/1.03 (* end of lemma zenon_L43_ *) % 0.84/1.03 assert (zenon_L44_ : ((hskp1)\/((hskp21)\/(hskp4))) -> (~(hskp1)) -> (~(hskp21)) -> (~(hskp4)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hae zenon_H1b zenon_Haa zenon_Hac. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1c | zenon_intro zenon_Haf ]. % 0.84/1.03 exact (zenon_H1b zenon_H1c). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Hab | zenon_intro zenon_Had ]. % 0.84/1.03 exact (zenon_Haa zenon_Hab). % 0.84/1.03 exact (zenon_Hac zenon_Had). % 0.84/1.03 (* end of lemma zenon_L44_ *) % 0.84/1.03 assert (zenon_L45_ : ((hskp9)\/(hskp24)) -> (~(hskp24)) -> (~(hskp9)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hb0 zenon_H1d zenon_H3. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H4 | zenon_intro zenon_H1e ]. % 0.84/1.03 exact (zenon_H3 zenon_H4). % 0.84/1.03 exact (zenon_H1d zenon_H1e). % 0.84/1.03 (* end of lemma zenon_L45_ *) % 0.84/1.03 assert (zenon_L46_ : (forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73)))))) -> (ndr1_0) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hb1 zenon_Ha zenon_Hb2 zenon_Hb3 zenon_Hb4. % 0.84/1.03 generalize (zenon_Hb1 (a615)). zenon_intro zenon_Hb5. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_Hb5); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb6 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb7 ]. % 0.84/1.03 exact (zenon_Hb2 zenon_Hb8). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hba | zenon_intro zenon_Hb9 ]. % 0.84/1.03 exact (zenon_Hba zenon_Hb3). % 0.84/1.03 exact (zenon_Hb9 zenon_Hb4). % 0.84/1.03 (* end of lemma zenon_L46_ *) % 0.84/1.03 assert (zenon_L47_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (ndr1_0) -> (~(c0_1 (a651))) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H8d zenon_Ha zenon_Hbb zenon_H66 zenon_H67. % 0.84/1.03 generalize (zenon_H8d (a651)). zenon_intro zenon_Hbc. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_Hbc); [ zenon_intro zenon_H9 | zenon_intro zenon_Hbd ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ]. % 0.84/1.03 exact (zenon_Hbb zenon_Hbf). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H6c | zenon_intro zenon_H6e ]. % 0.84/1.03 exact (zenon_H66 zenon_H6c). % 0.84/1.03 exact (zenon_H6e zenon_H67). % 0.84/1.03 (* end of lemma zenon_L47_ *) % 0.84/1.03 assert (zenon_L48_ : (forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74)))))) -> (ndr1_0) -> (~(c2_1 (a651))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (c1_1 (a651)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hc0 zenon_Ha zenon_H66 zenon_H8d zenon_H67. % 0.84/1.03 generalize (zenon_Hc0 (a651)). zenon_intro zenon_Hc1. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_Hc1); [ zenon_intro zenon_H9 | zenon_intro zenon_Hc2 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc3 ]. % 0.84/1.03 exact (zenon_H66 zenon_H6c). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hbb | zenon_intro zenon_H6e ]. % 0.84/1.03 apply (zenon_L47_); trivial. % 0.84/1.03 exact (zenon_H6e zenon_H67). % 0.84/1.03 (* end of lemma zenon_L48_ *) % 0.84/1.03 assert (zenon_L49_ : (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (c0_1 (a631)) -> (c2_1 (a631)) -> (c3_1 (a631)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H2d zenon_Ha zenon_Hc4 zenon_Hc5 zenon_Hc6. % 0.84/1.03 generalize (zenon_H2d (a631)). zenon_intro zenon_Hc7. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_Hc7); [ zenon_intro zenon_H9 | zenon_intro zenon_Hc8 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc9 ]. % 0.84/1.03 exact (zenon_Hca zenon_Hc4). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ]. % 0.84/1.03 exact (zenon_Hcc zenon_Hc5). % 0.84/1.03 exact (zenon_Hcb zenon_Hc6). % 0.84/1.03 (* end of lemma zenon_L49_ *) % 0.84/1.03 assert (zenon_L50_ : (forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34)))))) -> (ndr1_0) -> (~(c1_1 (a631))) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c0_1 (a631)) -> (c3_1 (a631)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hcd zenon_Ha zenon_Hce zenon_H2d zenon_Hc4 zenon_Hc6. % 0.84/1.03 generalize (zenon_Hcd (a631)). zenon_intro zenon_Hcf. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_Hcf); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd0 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd1 ]. % 0.84/1.03 exact (zenon_Hce zenon_Hd2). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hca ]. % 0.84/1.03 apply (zenon_L49_); trivial. % 0.84/1.03 exact (zenon_Hca zenon_Hc4). % 0.84/1.03 (* end of lemma zenon_L50_ *) % 0.84/1.03 assert (zenon_L51_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c0_1 (a631)) -> (c3_1 (a631)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hd3 zenon_Ha zenon_H2d zenon_Hc4 zenon_Hc6. % 0.84/1.03 generalize (zenon_Hd3 (a631)). zenon_intro zenon_Hd4. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_Hd4); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd5 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hd6 ]. % 0.84/1.03 apply (zenon_L49_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 0.84/1.03 exact (zenon_Hca zenon_Hc4). % 0.84/1.03 exact (zenon_Hcb zenon_Hc6). % 0.84/1.03 (* end of lemma zenon_L51_ *) % 0.84/1.03 assert (zenon_L52_ : (~(hskp28)) -> (hskp28) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hd7 zenon_Hd8. % 0.84/1.03 exact (zenon_Hd7 zenon_Hd8). % 0.84/1.03 (* end of lemma zenon_L52_ *) % 0.84/1.03 assert (zenon_L53_ : (~(hskp2)) -> (hskp2) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hd9 zenon_Hda. % 0.84/1.03 exact (zenon_Hd9 zenon_Hda). % 0.84/1.03 (* end of lemma zenon_L53_ *) % 0.84/1.03 assert (zenon_L54_ : ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(hskp28)) -> (~(hskp2)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hdb zenon_Hc6 zenon_Hc4 zenon_Ha zenon_Hd3 zenon_Hd7 zenon_Hd9. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H2d | zenon_intro zenon_Hdc ]. % 0.84/1.03 apply (zenon_L51_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hda ]. % 0.84/1.03 exact (zenon_Hd7 zenon_Hd8). % 0.84/1.03 exact (zenon_Hd9 zenon_Hda). % 0.84/1.03 (* end of lemma zenon_L54_ *) % 0.84/1.03 assert (zenon_L55_ : ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (~(c1_1 (a631))) -> (~(hskp2)) -> (~(hskp28)) -> (ndr1_0) -> (c0_1 (a631)) -> (c3_1 (a631)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (~(hskp12)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hdd zenon_H2d zenon_Hce zenon_Hd9 zenon_Hd7 zenon_Ha zenon_Hc4 zenon_Hc6 zenon_Hdb zenon_H5. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ]. % 0.84/1.03 apply (zenon_L50_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H6 ]. % 0.84/1.03 apply (zenon_L54_); trivial. % 0.84/1.03 exact (zenon_H5 zenon_H6). % 0.84/1.03 (* end of lemma zenon_L55_ *) % 0.84/1.03 assert (zenon_L56_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp2)) -> (~(c1_1 (a631))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (~(hskp9)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hdf zenon_H66 zenon_H67 zenon_Hb2 zenon_Hb3 zenon_Hb4 zenon_He0 zenon_H5 zenon_Hdb zenon_Hc6 zenon_Hc4 zenon_Ha zenon_Hd7 zenon_Hd9 zenon_Hce zenon_Hdd zenon_H3. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H8d | zenon_intro zenon_He1 ]. % 0.84/1.03 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_He2 ]. % 0.84/1.03 apply (zenon_L46_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H6 ]. % 0.84/1.03 apply (zenon_L48_); trivial. % 0.84/1.03 exact (zenon_H5 zenon_H6). % 0.84/1.03 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H2d | zenon_intro zenon_H4 ]. % 0.84/1.03 apply (zenon_L55_); trivial. % 0.84/1.03 exact (zenon_H3 zenon_H4). % 0.84/1.03 (* end of lemma zenon_L56_ *) % 0.84/1.03 assert (zenon_L57_ : (forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.84/1.03 do 0 intro. intros zenon_He3 zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.84/1.03 generalize (zenon_He3 (a595)). zenon_intro zenon_He7. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_He7); [ zenon_intro zenon_H9 | zenon_intro zenon_He8 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hea | zenon_intro zenon_He9 ]. % 0.84/1.03 exact (zenon_Hea zenon_He4). % 0.84/1.03 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hec | zenon_intro zenon_Heb ]. % 0.84/1.03 exact (zenon_Hec zenon_He5). % 0.84/1.03 exact (zenon_Heb zenon_He6). % 0.84/1.03 (* end of lemma zenon_L57_ *) % 0.84/1.03 assert (zenon_L58_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> (~(hskp5)) -> (~(hskp18)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hed zenon_Hee zenon_H6f zenon_H53. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf1 ]. % 0.84/1.03 apply (zenon_L57_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H70 | zenon_intro zenon_H54 ]. % 0.84/1.03 exact (zenon_H6f zenon_H70). % 0.84/1.03 exact (zenon_H53 zenon_H54). % 0.84/1.03 (* end of lemma zenon_L58_ *) % 0.84/1.03 assert (zenon_L59_ : (~(hskp22)) -> (hskp22) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hf2 zenon_Hf3. % 0.84/1.03 exact (zenon_Hf2 zenon_Hf3). % 0.84/1.03 (* end of lemma zenon_L59_ *) % 0.84/1.03 assert (zenon_L60_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> (c1_1 (a651)) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp22)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hf4 zenon_H67 zenon_H8d zenon_H66 zenon_Ha zenon_Hac zenon_Hf2. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hf5 ]. % 0.84/1.03 apply (zenon_L48_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Had | zenon_intro zenon_Hf3 ]. % 0.84/1.03 exact (zenon_Hac zenon_Had). % 0.84/1.03 exact (zenon_Hf2 zenon_Hf3). % 0.84/1.03 (* end of lemma zenon_L60_ *) % 0.84/1.03 assert (zenon_L61_ : (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (c0_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H2d zenon_Ha zenon_Hf6 zenon_He5 zenon_He6. % 0.84/1.03 generalize (zenon_H2d (a595)). zenon_intro zenon_Hf7. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_Hf7); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf8 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hf9 | zenon_intro zenon_He9 ]. % 0.84/1.03 exact (zenon_Hf9 zenon_Hf6). % 0.84/1.03 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hec | zenon_intro zenon_Heb ]. % 0.84/1.03 exact (zenon_Hec zenon_He5). % 0.84/1.03 exact (zenon_Heb zenon_He6). % 0.84/1.03 (* end of lemma zenon_L61_ *) % 0.84/1.03 assert (zenon_L62_ : (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c2_1 (a595)) -> (c3_1 (a595)) -> (c1_1 (a595)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hfa zenon_Ha zenon_H2d zenon_He5 zenon_He6 zenon_He4. % 0.84/1.03 generalize (zenon_Hfa (a595)). zenon_intro zenon_Hfb. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_Hfb); [ zenon_intro zenon_H9 | zenon_intro zenon_Hfc ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfd ]. % 0.84/1.03 apply (zenon_L61_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hea | zenon_intro zenon_Hec ]. % 0.84/1.03 exact (zenon_Hea zenon_He4). % 0.84/1.03 exact (zenon_Hec zenon_He5). % 0.84/1.03 (* end of lemma zenon_L62_ *) % 0.84/1.03 assert (zenon_L63_ : (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c2_1 (a595)) -> (c3_1 (a595)) -> (c1_1 (a595)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hfe zenon_Ha zenon_H2d zenon_He5 zenon_He6 zenon_He4. % 0.84/1.03 generalize (zenon_Hfe (a595)). zenon_intro zenon_Hff. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_Hff); [ zenon_intro zenon_H9 | zenon_intro zenon_H100 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H101 ]. % 0.84/1.03 apply (zenon_L61_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hea | zenon_intro zenon_Heb ]. % 0.84/1.03 exact (zenon_Hea zenon_He4). % 0.84/1.03 exact (zenon_Heb zenon_He6). % 0.84/1.03 (* end of lemma zenon_L63_ *) % 0.84/1.03 assert (zenon_L64_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H102 zenon_H2d zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.03 apply (zenon_L62_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.03 apply (zenon_L63_); trivial. % 0.84/1.03 apply (zenon_L57_); trivial. % 0.84/1.03 (* end of lemma zenon_L64_ *) % 0.84/1.03 assert (zenon_L65_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (~(hskp22)) -> (~(hskp4)) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp9)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hed zenon_Hdf zenon_Hf2 zenon_Hac zenon_H66 zenon_H67 zenon_Hf4 zenon_H102 zenon_H3. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H8d | zenon_intro zenon_He1 ]. % 0.84/1.03 apply (zenon_L60_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H2d | zenon_intro zenon_H4 ]. % 0.84/1.03 apply (zenon_L64_); trivial. % 0.84/1.03 exact (zenon_H3 zenon_H4). % 0.84/1.03 (* end of lemma zenon_L65_ *) % 0.84/1.03 assert (zenon_L66_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> (~(hskp22)) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (~(c1_1 (a631))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp9)\/(hskp24)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H77 zenon_H104 zenon_H102 zenon_Hf4 zenon_Hf2 zenon_Hac zenon_Hdd zenon_H5 zenon_Hd9 zenon_Hdb zenon_Hc6 zenon_Hc4 zenon_Hce zenon_Hdf zenon_H3 zenon_Hb0. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.03 apply (zenon_L45_); trivial. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H8d | zenon_intro zenon_He1 ]. % 0.84/1.03 apply (zenon_L60_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H2d | zenon_intro zenon_H4 ]. % 0.84/1.03 apply (zenon_L55_); trivial. % 0.84/1.03 exact (zenon_H3 zenon_H4). % 0.84/1.03 apply (zenon_L65_); trivial. % 0.84/1.03 (* end of lemma zenon_L66_ *) % 0.84/1.03 assert (zenon_L67_ : (~(hskp3)) -> (hskp3) -> False). % 0.84/1.03 do 0 intro. intros zenon_H105 zenon_H106. % 0.84/1.03 exact (zenon_H105 zenon_H106). % 0.84/1.03 (* end of lemma zenon_L67_ *) % 0.84/1.03 assert (zenon_L68_ : (~(hskp26)) -> (hskp26) -> False). % 0.84/1.03 do 0 intro. intros zenon_H107 zenon_H108. % 0.84/1.03 exact (zenon_H107 zenon_H108). % 0.84/1.03 (* end of lemma zenon_L68_ *) % 0.84/1.03 assert (zenon_L69_ : ((hskp30)\/((hskp3)\/(hskp26))) -> (~(hskp30)) -> (~(hskp3)) -> (~(hskp26)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H109 zenon_H37 zenon_H105 zenon_H107. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H38 | zenon_intro zenon_H10a ]. % 0.84/1.03 exact (zenon_H37 zenon_H38). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H106 | zenon_intro zenon_H108 ]. % 0.84/1.03 exact (zenon_H105 zenon_H106). % 0.84/1.03 exact (zenon_H107 zenon_H108). % 0.84/1.03 (* end of lemma zenon_L69_ *) % 0.84/1.03 assert (zenon_L70_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W))))) -> (ndr1_0) -> (~(c0_1 (a644))) -> (~(c2_1 (a644))) -> (~(c3_1 (a644))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H10b zenon_Ha zenon_H10c zenon_H10d zenon_H10e. % 0.84/1.03 generalize (zenon_H10b (a644)). zenon_intro zenon_H10f. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H10f); [ zenon_intro zenon_H9 | zenon_intro zenon_H110 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H112 | zenon_intro zenon_H111 ]. % 0.84/1.03 exact (zenon_H10c zenon_H112). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H114 | zenon_intro zenon_H113 ]. % 0.84/1.03 exact (zenon_H10d zenon_H114). % 0.84/1.03 exact (zenon_H10e zenon_H113). % 0.84/1.03 (* end of lemma zenon_L70_ *) % 0.84/1.03 assert (zenon_L71_ : ((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp7))) -> (~(c3_1 (a644))) -> (~(c2_1 (a644))) -> (~(c0_1 (a644))) -> (~(hskp7)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H4d zenon_H115 zenon_H10e zenon_H10d zenon_H10c zenon_H17. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H10b | zenon_intro zenon_H116 ]. % 0.84/1.03 apply (zenon_L70_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H3f | zenon_intro zenon_H18 ]. % 0.84/1.03 apply (zenon_L18_); trivial. % 0.84/1.03 exact (zenon_H17 zenon_H18). % 0.84/1.03 (* end of lemma zenon_L71_ *) % 0.84/1.03 assert (zenon_L72_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a644))) -> (~(c2_1 (a644))) -> (~(c0_1 (a644))) -> (~(hskp3)) -> (~(hskp26)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H52 zenon_H115 zenon_H17 zenon_H10e zenon_H10d zenon_H10c zenon_H105 zenon_H107 zenon_H109. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.84/1.03 apply (zenon_L69_); trivial. % 0.84/1.03 apply (zenon_L71_); trivial. % 0.84/1.03 (* end of lemma zenon_L72_ *) % 0.84/1.03 assert (zenon_L73_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a667))) -> (~(c1_1 (a667))) -> (~(c3_1 (a667))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H117 zenon_Ha zenon_H118 zenon_H119 zenon_H11a. % 0.84/1.03 generalize (zenon_H117 (a667)). zenon_intro zenon_H11b. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H11b); [ zenon_intro zenon_H9 | zenon_intro zenon_H11c ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H11e | zenon_intro zenon_H11d ]. % 0.84/1.03 exact (zenon_H118 zenon_H11e). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ]. % 0.84/1.03 exact (zenon_H119 zenon_H120). % 0.84/1.03 exact (zenon_H11a zenon_H11f). % 0.84/1.03 (* end of lemma zenon_L73_ *) % 0.84/1.03 assert (zenon_L74_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c3_1 (a667))) -> (~(c1_1 (a667))) -> (~(c0_1 (a667))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hed zenon_H121 zenon_H11a zenon_H119 zenon_H118 zenon_H7e zenon_H7d zenon_H7c zenon_H102. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.84/1.03 apply (zenon_L73_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.84/1.03 apply (zenon_L30_); trivial. % 0.84/1.03 apply (zenon_L64_); trivial. % 0.84/1.03 (* end of lemma zenon_L74_ *) % 0.84/1.03 assert (zenon_L75_ : ((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (~(c1_1 (a631))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H123 zenon_H104 zenon_H102 zenon_H7c zenon_H7d zenon_H7e zenon_Hdd zenon_H5 zenon_Hd9 zenon_Hdb zenon_Hc6 zenon_Hc4 zenon_Hce zenon_H121. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H118. zenon_intro zenon_H125. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H119. zenon_intro zenon_H11a. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.84/1.03 apply (zenon_L73_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.84/1.03 apply (zenon_L30_); trivial. % 0.84/1.03 apply (zenon_L55_); trivial. % 0.84/1.03 apply (zenon_L74_); trivial. % 0.84/1.03 (* end of lemma zenon_L75_ *) % 0.84/1.03 assert (zenon_L76_ : (~(hskp25)) -> (hskp25) -> False). % 0.84/1.03 do 0 intro. intros zenon_H126 zenon_H127. % 0.84/1.03 exact (zenon_H126 zenon_H127). % 0.84/1.03 (* end of lemma zenon_L76_ *) % 0.84/1.03 assert (zenon_L77_ : ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> (~(hskp25)) -> (c2_1 (a605)) -> (c0_1 (a605)) -> (~(c3_1 (a605))) -> (ndr1_0) -> False). % 0.84/1.03 do 0 intro. intros zenon_H128 zenon_H126 zenon_Ha0 zenon_H9f zenon_H9e zenon_Ha. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H9d | zenon_intro zenon_H127 ]. % 0.84/1.03 apply (zenon_L39_); trivial. % 0.84/1.03 exact (zenon_H126 zenon_H127). % 0.84/1.03 (* end of lemma zenon_L77_ *) % 0.84/1.03 assert (zenon_L78_ : (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (~(c3_1 (a609))) -> (c0_1 (a609)) -> (c2_1 (a609)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H9d zenon_Ha zenon_Hd zenon_H129 zenon_He. % 0.84/1.03 generalize (zenon_H9d (a609)). zenon_intro zenon_H12a. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H12a); [ zenon_intro zenon_H9 | zenon_intro zenon_H12b ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H14 | zenon_intro zenon_H12c ]. % 0.84/1.03 exact (zenon_Hd zenon_H14). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12d | zenon_intro zenon_H13 ]. % 0.84/1.03 exact (zenon_H12d zenon_H129). % 0.84/1.03 exact (zenon_H13 zenon_He). % 0.84/1.03 (* end of lemma zenon_L78_ *) % 0.84/1.03 assert (zenon_L79_ : (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H12e zenon_Ha zenon_H9d zenon_Hd zenon_He. % 0.84/1.03 generalize (zenon_H12e (a609)). zenon_intro zenon_H12f. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H12f); [ zenon_intro zenon_H9 | zenon_intro zenon_H130 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H129 | zenon_intro zenon_H11 ]. % 0.84/1.03 apply (zenon_L78_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.84/1.03 exact (zenon_Hd zenon_H14). % 0.84/1.03 exact (zenon_H13 zenon_He). % 0.84/1.03 (* end of lemma zenon_L79_ *) % 0.84/1.03 assert (zenon_L80_ : ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46)))))) -> (~(hskp28)) -> (~(hskp4)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H131 zenon_He zenon_Hd zenon_Ha zenon_H12e zenon_Hd7 zenon_Hac. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H9d | zenon_intro zenon_H132 ]. % 0.84/1.03 apply (zenon_L79_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Had ]. % 0.84/1.03 exact (zenon_Hd7 zenon_Hd8). % 0.84/1.03 exact (zenon_Hac zenon_Had). % 0.84/1.03 (* end of lemma zenon_L80_ *) % 0.84/1.03 assert (zenon_L81_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp4)) -> (ndr1_0) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp28)) -> (~(hskp7)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H133 zenon_Hac zenon_Ha zenon_Hd zenon_He zenon_H131 zenon_Hd7 zenon_H17. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H12e | zenon_intro zenon_H134 ]. % 0.84/1.03 apply (zenon_L80_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H18 ]. % 0.84/1.03 exact (zenon_Hd7 zenon_Hd8). % 0.84/1.03 exact (zenon_H17 zenon_H18). % 0.84/1.03 (* end of lemma zenon_L81_ *) % 0.84/1.03 assert (zenon_L82_ : (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c0_1 (a656))) -> (c1_1 (a656)) -> (c3_1 (a656)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hfe zenon_Ha zenon_H135 zenon_H136 zenon_H137. % 0.84/1.03 generalize (zenon_Hfe (a656)). zenon_intro zenon_H138. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H138); [ zenon_intro zenon_H9 | zenon_intro zenon_H139 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 0.84/1.03 exact (zenon_H135 zenon_H13b). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H13d | zenon_intro zenon_H13c ]. % 0.84/1.03 exact (zenon_H13d zenon_H136). % 0.84/1.03 exact (zenon_H13c zenon_H137). % 0.84/1.03 (* end of lemma zenon_L82_ *) % 0.84/1.03 assert (zenon_L83_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c3_1 (a656)) -> (c1_1 (a656)) -> (~(c0_1 (a656))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H102 zenon_H2d zenon_H137 zenon_H136 zenon_H135 zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.03 apply (zenon_L62_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.03 apply (zenon_L82_); trivial. % 0.84/1.03 apply (zenon_L57_); trivial. % 0.84/1.03 (* end of lemma zenon_L83_ *) % 0.84/1.03 assert (zenon_L84_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp22)) -> (~(hskp4)) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a656)) -> (c1_1 (a656)) -> (~(c0_1 (a656))) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hed zenon_H97 zenon_Hf2 zenon_Hac zenon_H66 zenon_H67 zenon_Hf4 zenon_He zenon_Hd zenon_Hc zenon_H102 zenon_H137 zenon_H136 zenon_H135. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8d | zenon_intro zenon_H98 ]. % 0.84/1.03 apply (zenon_L60_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.84/1.03 apply (zenon_L6_); trivial. % 0.84/1.03 apply (zenon_L83_); trivial. % 0.84/1.03 (* end of lemma zenon_L84_ *) % 0.84/1.03 assert (zenon_L85_ : ((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c1_1 (a609))) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (~(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H13e zenon_H104 zenon_H97 zenon_H102 zenon_Hc zenon_H66 zenon_H67 zenon_Hf2 zenon_Hf4 zenon_H131 zenon_Hac zenon_He zenon_Hd zenon_H17 zenon_H133. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Ha. zenon_intro zenon_H13f. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H136. zenon_intro zenon_H140. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.03 apply (zenon_L81_); trivial. % 0.84/1.03 apply (zenon_L84_); trivial. % 0.84/1.03 (* end of lemma zenon_L85_ *) % 0.84/1.03 assert (zenon_L86_ : (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (c0_1 (a605)) -> (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47)))))) -> (~(c3_1 (a605))) -> (c2_1 (a605)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H3f zenon_Ha zenon_H9f zenon_H141 zenon_H9e zenon_Ha0. % 0.84/1.03 generalize (zenon_H3f (a605)). zenon_intro zenon_H142. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H142); [ zenon_intro zenon_H9 | zenon_intro zenon_H143 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H144 ]. % 0.84/1.03 exact (zenon_Ha6 zenon_H9f). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H145 | zenon_intro zenon_Ha5 ]. % 0.84/1.03 generalize (zenon_H141 (a605)). zenon_intro zenon_H146. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H146); [ zenon_intro zenon_H9 | zenon_intro zenon_H147 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H149 | zenon_intro zenon_H148 ]. % 0.84/1.03 exact (zenon_H145 zenon_H149). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha6 ]. % 0.84/1.03 exact (zenon_H9e zenon_Ha4). % 0.84/1.03 exact (zenon_Ha6 zenon_H9f). % 0.84/1.03 exact (zenon_Ha5 zenon_Ha0). % 0.84/1.03 (* end of lemma zenon_L86_ *) % 0.84/1.03 assert (zenon_L87_ : (~(hskp11)) -> (hskp11) -> False). % 0.84/1.03 do 0 intro. intros zenon_H14a zenon_H14b. % 0.84/1.03 exact (zenon_H14a zenon_H14b). % 0.84/1.03 (* end of lemma zenon_L87_ *) % 0.84/1.03 assert (zenon_L88_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a644))) -> (~(c2_1 (a644))) -> (~(c0_1 (a644))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp4)) -> (~(hskp28)) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (c2_1 (a605)) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H14c zenon_H10e zenon_H10d zenon_H10c zenon_H26 zenon_H25 zenon_H24 zenon_H14d zenon_Hac zenon_Hd7 zenon_Hd zenon_He zenon_H131 zenon_Ha0 zenon_H9e zenon_H9f zenon_Ha zenon_H14a. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H10b | zenon_intro zenon_H14e ]. % 0.84/1.03 apply (zenon_L70_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H23 | zenon_intro zenon_H3f ]. % 0.84/1.03 apply (zenon_L13_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.84/1.03 apply (zenon_L80_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.84/1.03 apply (zenon_L86_); trivial. % 0.84/1.03 exact (zenon_H14a zenon_H14b). % 0.84/1.03 (* end of lemma zenon_L88_ *) % 0.84/1.03 assert (zenon_L89_ : (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hfe zenon_Ha zenon_H3f zenon_He4 zenon_He5 zenon_He6. % 0.84/1.03 generalize (zenon_Hfe (a595)). zenon_intro zenon_Hff. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_Hff); [ zenon_intro zenon_H9 | zenon_intro zenon_H100 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H101 ]. % 0.84/1.03 generalize (zenon_H3f (a595)). zenon_intro zenon_H150. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H150); [ zenon_intro zenon_H9 | zenon_intro zenon_H151 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ]. % 0.84/1.03 exact (zenon_Hf9 zenon_Hf6). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hea | zenon_intro zenon_Hec ]. % 0.84/1.03 exact (zenon_Hea zenon_He4). % 0.84/1.03 exact (zenon_Hec zenon_He5). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hea | zenon_intro zenon_Heb ]. % 0.84/1.03 exact (zenon_Hea zenon_He4). % 0.84/1.03 exact (zenon_Heb zenon_He6). % 0.84/1.03 (* end of lemma zenon_L89_ *) % 0.84/1.03 assert (zenon_L90_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp30)) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H102 zenon_H37 zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3f zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H23 | zenon_intro zenon_H3d ]. % 0.84/1.03 apply (zenon_L13_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H2d | zenon_intro zenon_H38 ]. % 0.84/1.03 apply (zenon_L62_); trivial. % 0.84/1.03 exact (zenon_H37 zenon_H38). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.03 apply (zenon_L89_); trivial. % 0.84/1.03 apply (zenon_L57_); trivial. % 0.84/1.03 (* end of lemma zenon_L90_ *) % 0.84/1.03 assert (zenon_L91_ : ((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a644))) -> (~(c2_1 (a644))) -> (~(c0_1 (a644))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H4d zenon_H14c zenon_H10e zenon_H10d zenon_H10c zenon_H26 zenon_H25 zenon_H24. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H10b | zenon_intro zenon_H14e ]. % 0.84/1.03 apply (zenon_L70_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H23 | zenon_intro zenon_H3f ]. % 0.84/1.03 apply (zenon_L13_); trivial. % 0.84/1.03 apply (zenon_L18_); trivial. % 0.84/1.03 (* end of lemma zenon_L91_ *) % 0.84/1.03 assert (zenon_L92_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> (~(c0_1 (a644))) -> (~(c2_1 (a644))) -> (~(c3_1 (a644))) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hed zenon_H52 zenon_H10c zenon_H10d zenon_H10e zenon_H24 zenon_H25 zenon_H26 zenon_H102 zenon_H3a zenon_H14c. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H10b | zenon_intro zenon_H14e ]. % 0.84/1.03 apply (zenon_L70_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H23 | zenon_intro zenon_H3f ]. % 0.84/1.03 apply (zenon_L13_); trivial. % 0.84/1.03 apply (zenon_L90_); trivial. % 0.84/1.03 apply (zenon_L91_); trivial. % 0.84/1.03 (* end of lemma zenon_L92_ *) % 0.84/1.03 assert (zenon_L93_ : ((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a605)) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H152 zenon_H104 zenon_H52 zenon_H102 zenon_H3a zenon_H24 zenon_H25 zenon_H26 zenon_H14d zenon_H14a zenon_Ha0 zenon_H9e zenon_H9f zenon_Hd zenon_He zenon_Hac zenon_H131 zenon_H14c. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H10c. zenon_intro zenon_H154. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.03 apply (zenon_L88_); trivial. % 0.84/1.03 apply (zenon_L92_); trivial. % 0.84/1.03 (* end of lemma zenon_L93_ *) % 0.84/1.03 assert (zenon_L94_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((hskp9)\/(hskp24)) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> (c2_1 (a605)) -> (c0_1 (a605)) -> (~(c3_1 (a605))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H155 zenon_H76 zenon_H156 zenon_H52 zenon_H3a zenon_H14d zenon_H14a zenon_H14c zenon_Hb0 zenon_H3 zenon_H128 zenon_Ha0 zenon_H9f zenon_H9e zenon_H133 zenon_Hac zenon_H131 zenon_Hf4 zenon_H102 zenon_H97 zenon_H104 zenon_H157 zenon_H77 zenon_H17 zenon_H19. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.84/1.03 apply (zenon_L9_); trivial. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.03 apply (zenon_L45_); trivial. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H126 | zenon_intro zenon_H13e ]. % 0.84/1.03 apply (zenon_L77_); trivial. % 0.84/1.03 apply (zenon_L85_); trivial. % 0.84/1.03 apply (zenon_L93_); trivial. % 0.84/1.03 (* end of lemma zenon_L94_ *) % 0.84/1.03 assert (zenon_L95_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (ndr1_0) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H15a zenon_Ha zenon_H15b zenon_H15c zenon_H15d. % 0.84/1.03 generalize (zenon_H15a (a608)). zenon_intro zenon_H15e. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H15e); [ zenon_intro zenon_H9 | zenon_intro zenon_H15f ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ]. % 0.84/1.03 exact (zenon_H15b zenon_H161). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ]. % 0.84/1.03 exact (zenon_H15c zenon_H163). % 0.84/1.03 exact (zenon_H162 zenon_H15d). % 0.84/1.03 (* end of lemma zenon_L95_ *) % 0.84/1.03 assert (zenon_L96_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a631))) -> (c0_1 (a631)) -> (c3_1 (a631)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H164 zenon_Ha zenon_Hce zenon_Hc4 zenon_Hc6. % 0.84/1.03 generalize (zenon_H164 (a631)). zenon_intro zenon_H165. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H165); [ zenon_intro zenon_H9 | zenon_intro zenon_H166 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd6 ]. % 0.84/1.03 exact (zenon_Hce zenon_Hd2). % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 0.84/1.03 exact (zenon_Hca zenon_Hc4). % 0.84/1.03 exact (zenon_Hcb zenon_Hc6). % 0.84/1.03 (* end of lemma zenon_L96_ *) % 0.84/1.03 assert (zenon_L97_ : ((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> (~(hskp1)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H167 zenon_H168 zenon_H15d zenon_H15c zenon_H15b zenon_H1b. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.84/1.03 apply (zenon_L95_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.03 apply (zenon_L96_); trivial. % 0.84/1.03 exact (zenon_H1b zenon_H1c). % 0.84/1.03 (* end of lemma zenon_L97_ *) % 0.84/1.03 assert (zenon_L98_ : ((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H16c zenon_H16d zenon_H168 zenon_H1b zenon_Hac zenon_Hae. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.03 apply (zenon_L44_); trivial. % 0.84/1.03 apply (zenon_L97_); trivial. % 0.84/1.03 (* end of lemma zenon_L98_ *) % 0.84/1.03 assert (zenon_L99_ : ((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((hskp1)\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((hskp9)\/(hskp24)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp5)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H170 zenon_H171 zenon_H168 zenon_H172 zenon_H8c zenon_H156 zenon_H173 zenon_H121 zenon_H109 zenon_H105 zenon_H17 zenon_H115 zenon_H52 zenon_Hf4 zenon_H102 zenon_Hae zenon_Hac zenon_H1b zenon_Hb0 zenon_H3 zenon_Hdf zenon_Hdb zenon_Hd9 zenon_Hdd zenon_He0 zenon_H6f zenon_Hee zenon_H104 zenon_H77 zenon_H16d zenon_Ha9 zenon_H19 zenon_H157 zenon_H97 zenon_H131 zenon_H133 zenon_H128 zenon_H14c zenon_H14d zenon_H3a zenon_H76 zenon_H174. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.84/1.03 apply (zenon_L41_); trivial. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.03 apply (zenon_L44_); trivial. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.03 apply (zenon_L45_); trivial. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.03 apply (zenon_L56_); trivial. % 0.84/1.03 apply (zenon_L58_); trivial. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.03 apply (zenon_L44_); trivial. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.84/1.03 apply (zenon_L66_); trivial. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H10c. zenon_intro zenon_H154. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.84/1.03 apply (zenon_L72_); trivial. % 0.84/1.03 apply (zenon_L75_); trivial. % 0.84/1.03 apply (zenon_L94_); trivial. % 0.84/1.03 apply (zenon_L98_); trivial. % 0.84/1.03 (* end of lemma zenon_L99_ *) % 0.84/1.03 assert (zenon_L100_ : ((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (~(hskp28)) -> (~(hskp2)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H39 zenon_Hdb zenon_Hd7 zenon_Hd9. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H2d | zenon_intro zenon_Hdc ]. % 0.84/1.03 apply (zenon_L14_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hda ]. % 0.84/1.03 exact (zenon_Hd7 zenon_Hd8). % 0.84/1.03 exact (zenon_Hd9 zenon_Hda). % 0.84/1.03 (* end of lemma zenon_L100_ *) % 0.84/1.03 assert (zenon_L101_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (~(hskp28)) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H3e zenon_Hdb zenon_Hd9 zenon_Hd7 zenon_H1b zenon_H1d zenon_H1f. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.03 apply (zenon_L12_); trivial. % 0.84/1.03 apply (zenon_L100_); trivial. % 0.84/1.03 (* end of lemma zenon_L101_ *) % 0.84/1.03 assert (zenon_L102_ : (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52)))))) -> (ndr1_0) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hfa zenon_Ha zenon_H17a zenon_H17b zenon_H17c. % 0.84/1.03 generalize (zenon_Hfa (a604)). zenon_intro zenon_H17d. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H17d); [ zenon_intro zenon_H9 | zenon_intro zenon_H17e ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H180 | zenon_intro zenon_H17f ]. % 0.84/1.03 exact (zenon_H17a zenon_H180). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H182 | zenon_intro zenon_H181 ]. % 0.84/1.03 exact (zenon_H182 zenon_H17b). % 0.84/1.03 exact (zenon_H181 zenon_H17c). % 0.84/1.03 (* end of lemma zenon_L102_ *) % 0.84/1.03 assert (zenon_L103_ : (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46)))))) -> (ndr1_0) -> (~(c0_1 (a604))) -> (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H12e zenon_Ha zenon_H17a zenon_Hfe zenon_H17b zenon_H17c. % 0.84/1.03 generalize (zenon_H12e (a604)). zenon_intro zenon_H183. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H183); [ zenon_intro zenon_H9 | zenon_intro zenon_H184 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H180 | zenon_intro zenon_H185 ]. % 0.84/1.03 exact (zenon_H17a zenon_H180). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H186 | zenon_intro zenon_H181 ]. % 0.84/1.03 generalize (zenon_Hfe (a604)). zenon_intro zenon_H187. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H187); [ zenon_intro zenon_H9 | zenon_intro zenon_H188 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H180 | zenon_intro zenon_H189 ]. % 0.84/1.03 exact (zenon_H17a zenon_H180). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H182 | zenon_intro zenon_H18a ]. % 0.84/1.03 exact (zenon_H182 zenon_H17b). % 0.84/1.03 exact (zenon_H18a zenon_H186). % 0.84/1.03 exact (zenon_H181 zenon_H17c). % 0.84/1.03 (* end of lemma zenon_L103_ *) % 0.84/1.03 assert (zenon_L104_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46)))))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H12e zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.03 apply (zenon_L102_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.03 apply (zenon_L103_); trivial. % 0.84/1.03 apply (zenon_L57_); trivial. % 0.84/1.03 (* end of lemma zenon_L104_ *) % 0.84/1.03 assert (zenon_L105_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(hskp10)) -> (~(hskp5)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp10)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H77 zenon_H72 zenon_H3e zenon_Hdb zenon_Hd9 zenon_H1b zenon_H1f zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H1 zenon_H6f zenon_H18b zenon_H104. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.03 apply (zenon_L101_); trivial. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H12e | zenon_intro zenon_H75 ]. % 0.84/1.03 apply (zenon_L104_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H2 | zenon_intro zenon_H70 ]. % 0.84/1.03 exact (zenon_H1 zenon_H2). % 0.84/1.03 exact (zenon_H6f zenon_H70). % 0.84/1.03 apply (zenon_L28_); trivial. % 0.84/1.03 (* end of lemma zenon_L105_ *) % 0.84/1.03 assert (zenon_L106_ : (~(hskp13)) -> (hskp13) -> False). % 0.84/1.03 do 0 intro. intros zenon_H18c zenon_H18d. % 0.84/1.03 exact (zenon_H18c zenon_H18d). % 0.84/1.03 (* end of lemma zenon_L106_ *) % 0.84/1.03 assert (zenon_L107_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(hskp2)) -> (~(hskp28)) -> (ndr1_0) -> (c0_1 (a631)) -> (c3_1 (a631)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (~(hskp13)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H18e zenon_H17c zenon_H17b zenon_H17a zenon_Hd9 zenon_Hd7 zenon_Ha zenon_Hc4 zenon_Hc6 zenon_Hdb zenon_H18c. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_Hfa | zenon_intro zenon_H18f ]. % 0.84/1.03 apply (zenon_L102_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H18d ]. % 0.84/1.03 apply (zenon_L54_); trivial. % 0.84/1.03 exact (zenon_H18c zenon_H18d). % 0.84/1.03 (* end of lemma zenon_L107_ *) % 0.84/1.03 assert (zenon_L108_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (c3_1 (a656)) -> (c1_1 (a656)) -> (~(c0_1 (a656))) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hed zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H137 zenon_H136 zenon_H135. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.03 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.03 apply (zenon_L102_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.03 apply (zenon_L82_); trivial. % 0.84/1.03 apply (zenon_L57_); trivial. % 0.84/1.03 (* end of lemma zenon_L108_ *) % 0.84/1.03 assert (zenon_L109_ : ((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H13e zenon_H104 zenon_H102 zenon_H17a zenon_H17b zenon_H17c zenon_Hdb zenon_Hd9 zenon_Hc6 zenon_Hc4 zenon_H18c zenon_H18e. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Ha. zenon_intro zenon_H13f. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H136. zenon_intro zenon_H140. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.03 apply (zenon_L107_); trivial. % 0.84/1.03 apply (zenon_L108_); trivial. % 0.84/1.03 (* end of lemma zenon_L109_ *) % 0.84/1.03 assert (zenon_L110_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H16d zenon_H157 zenon_H104 zenon_H102 zenon_H17a zenon_H17b zenon_H17c zenon_Hdb zenon_Hd9 zenon_H18c zenon_H18e zenon_H9e zenon_H9f zenon_Ha0 zenon_H128 zenon_H1b zenon_Hac zenon_Hae. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.03 apply (zenon_L44_); trivial. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H126 | zenon_intro zenon_H13e ]. % 0.84/1.03 apply (zenon_L77_); trivial. % 0.84/1.03 apply (zenon_L109_); trivial. % 0.84/1.03 (* end of lemma zenon_L110_ *) % 0.84/1.03 assert (zenon_L111_ : (forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74)))))) -> (ndr1_0) -> (~(c2_1 (a614))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hc0 zenon_Ha zenon_H190 zenon_H15a zenon_H191 zenon_H192. % 0.84/1.03 generalize (zenon_Hc0 (a614)). zenon_intro zenon_H193. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H193); [ zenon_intro zenon_H9 | zenon_intro zenon_H194 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H196 | zenon_intro zenon_H195 ]. % 0.84/1.03 exact (zenon_H190 zenon_H196). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H198 | zenon_intro zenon_H197 ]. % 0.84/1.03 generalize (zenon_H15a (a614)). zenon_intro zenon_H199. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H199); [ zenon_intro zenon_H9 | zenon_intro zenon_H19a ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H19c | zenon_intro zenon_H19b ]. % 0.84/1.03 exact (zenon_H198 zenon_H19c). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H19d | zenon_intro zenon_H197 ]. % 0.84/1.03 exact (zenon_H191 zenon_H19d). % 0.84/1.03 exact (zenon_H197 zenon_H192). % 0.84/1.03 exact (zenon_H197 zenon_H192). % 0.84/1.03 (* end of lemma zenon_L111_ *) % 0.84/1.03 assert (zenon_L112_ : ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (c2_1 (a615)) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (~(c2_1 (a614))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.84/1.03 do 0 intro. intros zenon_He0 zenon_Hb4 zenon_Hb3 zenon_Hb2 zenon_H192 zenon_H191 zenon_H15a zenon_H190 zenon_Ha zenon_H5. % 0.84/1.03 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_He2 ]. % 0.84/1.03 apply (zenon_L46_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H6 ]. % 0.84/1.03 apply (zenon_L111_); trivial. % 0.84/1.03 exact (zenon_H5 zenon_H6). % 0.84/1.03 (* end of lemma zenon_L112_ *) % 0.84/1.03 assert (zenon_L113_ : ((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H13e zenon_H104 zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H131 zenon_Hac zenon_He zenon_Hd zenon_H17 zenon_H133. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Ha. zenon_intro zenon_H13f. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H136. zenon_intro zenon_H140. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.03 apply (zenon_L81_); trivial. % 0.84/1.03 apply (zenon_L108_); trivial. % 0.84/1.03 (* end of lemma zenon_L113_ *) % 0.84/1.03 assert (zenon_L114_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H155 zenon_H157 zenon_H104 zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H131 zenon_Hac zenon_H17 zenon_H133 zenon_H9e zenon_H9f zenon_Ha0 zenon_H128. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H126 | zenon_intro zenon_H13e ]. % 0.84/1.03 apply (zenon_L77_); trivial. % 0.84/1.03 apply (zenon_L113_); trivial. % 0.84/1.03 (* end of lemma zenon_L114_ *) % 0.84/1.03 assert (zenon_L115_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52)))))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H7b zenon_Ha zenon_H19e zenon_Hfa zenon_H19f zenon_H1a0. % 0.84/1.03 generalize (zenon_H7b (a602)). zenon_intro zenon_H1a1. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H1a1); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a2 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ]. % 0.84/1.03 exact (zenon_H19e zenon_H1a4). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a5 ]. % 0.84/1.03 generalize (zenon_Hfa (a602)). zenon_intro zenon_H1a7. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H1a7); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a8 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 0.84/1.03 exact (zenon_H19e zenon_H1a4). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ]. % 0.84/1.03 exact (zenon_H1ab zenon_H1a6). % 0.84/1.03 exact (zenon_H1aa zenon_H19f). % 0.84/1.03 exact (zenon_H1a5 zenon_H1a0). % 0.84/1.03 (* end of lemma zenon_L115_ *) % 0.84/1.03 assert (zenon_L116_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (~(c1_1 (a602))) -> (c3_1 (a602)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H7b zenon_Ha zenon_H19e zenon_H1ab zenon_H1a0. % 0.84/1.03 generalize (zenon_H7b (a602)). zenon_intro zenon_H1a1. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H1a1); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a2 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ]. % 0.84/1.03 exact (zenon_H19e zenon_H1a4). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a5 ]. % 0.84/1.03 exact (zenon_H1ab zenon_H1a6). % 0.84/1.03 exact (zenon_H1a5 zenon_H1a0). % 0.84/1.03 (* end of lemma zenon_L116_ *) % 0.84/1.03 assert (zenon_L117_ : (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (c3_1 (a602)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hfe zenon_Ha zenon_H19e zenon_H7b zenon_H1a0. % 0.84/1.03 generalize (zenon_Hfe (a602)). zenon_intro zenon_H1ac. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H1ac); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ad ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1ae ]. % 0.84/1.03 exact (zenon_H19e zenon_H1a4). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1a5 ]. % 0.84/1.03 apply (zenon_L116_); trivial. % 0.84/1.03 exact (zenon_H1a5 zenon_H1a0). % 0.84/1.03 (* end of lemma zenon_L117_ *) % 0.84/1.03 assert (zenon_L118_ : (forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c0_1 (a602))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> False). % 0.84/1.03 do 0 intro. intros zenon_He3 zenon_Ha zenon_H7b zenon_H19e zenon_H1a0 zenon_H19f. % 0.84/1.03 generalize (zenon_He3 (a602)). zenon_intro zenon_H1af. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b0 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1b1 ]. % 0.84/1.03 apply (zenon_L116_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1a5 ]. % 0.84/1.03 exact (zenon_H1aa zenon_H19f). % 0.84/1.03 exact (zenon_H1a5 zenon_H1a0). % 0.84/1.03 (* end of lemma zenon_L118_ *) % 0.84/1.03 assert (zenon_L119_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c0_1 (a602))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H102 zenon_Ha zenon_H7b zenon_H19e zenon_H1a0 zenon_H19f. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.03 apply (zenon_L115_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.03 apply (zenon_L117_); trivial. % 0.84/1.03 apply (zenon_L118_); trivial. % 0.84/1.03 (* end of lemma zenon_L119_ *) % 0.84/1.03 assert (zenon_L120_ : (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H1b2 zenon_Ha zenon_H19e zenon_H19f zenon_H1a0. % 0.84/1.03 generalize (zenon_H1b2 (a602)). zenon_intro zenon_H1b3. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H1b3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b4 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b1 ]. % 0.84/1.03 exact (zenon_H19e zenon_H1a4). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1a5 ]. % 0.84/1.03 exact (zenon_H1aa zenon_H19f). % 0.84/1.03 exact (zenon_H1a5 zenon_H1a0). % 0.84/1.03 (* end of lemma zenon_L120_ *) % 0.84/1.03 assert (zenon_L121_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c2_1 (a651))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> False). % 0.84/1.03 do 0 intro. intros zenon_Hd3 zenon_Ha zenon_H66 zenon_H8d zenon_H67 zenon_H68. % 0.84/1.03 generalize (zenon_Hd3 (a651)). zenon_intro zenon_H1b5. % 0.84/1.03 apply (zenon_imply_s _ _ zenon_H1b5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b6 ]. % 0.84/1.03 exact (zenon_H9 zenon_Ha). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H6c | zenon_intro zenon_H1b7 ]. % 0.84/1.03 exact (zenon_H66 zenon_H6c). % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_Hbb | zenon_intro zenon_H6d ]. % 0.84/1.03 apply (zenon_L47_); trivial. % 0.84/1.03 exact (zenon_H6d zenon_H68). % 0.84/1.03 (* end of lemma zenon_L121_ *) % 0.84/1.03 assert (zenon_L122_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c0_1 (a631)) -> (c3_1 (a631)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H1b8 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_Ha zenon_H2d zenon_Hc4 zenon_Hc6. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.03 apply (zenon_L119_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.03 apply (zenon_L120_); trivial. % 0.84/1.03 apply (zenon_L51_); trivial. % 0.84/1.03 (* end of lemma zenon_L122_ *) % 0.84/1.03 assert (zenon_L123_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (ndr1_0) -> (c0_1 (a631)) -> (c3_1 (a631)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H97 zenon_H68 zenon_H67 zenon_H66 zenon_Hd3 zenon_He zenon_Hd zenon_Hc zenon_H1b8 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_Ha zenon_Hc4 zenon_Hc6. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8d | zenon_intro zenon_H98 ]. % 0.84/1.03 apply (zenon_L121_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.84/1.03 apply (zenon_L6_); trivial. % 0.84/1.03 apply (zenon_L122_); trivial. % 0.84/1.03 (* end of lemma zenon_L123_ *) % 0.84/1.03 assert (zenon_L124_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (c0_1 (a631)) -> (c3_1 (a631)) -> False). % 0.84/1.03 do 0 intro. intros zenon_H71 zenon_H97 zenon_He zenon_Hd zenon_Hc zenon_H1b8 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_Hc4 zenon_Hc6. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.03 apply (zenon_L119_); trivial. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.03 apply (zenon_L120_); trivial. % 0.84/1.03 apply (zenon_L123_); trivial. % 0.84/1.03 (* end of lemma zenon_L124_ *) % 0.84/1.03 assert (zenon_L125_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp9)) -> ((hskp9)\/(hskp24)) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> False). % 0.84/1.03 do 0 intro. intros zenon_H155 zenon_H16d zenon_H77 zenon_H1b8 zenon_H97 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H3 zenon_Hb0 zenon_H1b zenon_Hac zenon_Hae. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.03 apply (zenon_L44_); trivial. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.03 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.03 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.04 apply (zenon_L45_); trivial. % 0.84/1.04 apply (zenon_L124_); trivial. % 0.84/1.04 (* end of lemma zenon_L125_ *) % 0.84/1.04 assert (zenon_L126_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp2)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1b8 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_Hdb zenon_Hc6 zenon_Hc4 zenon_Ha zenon_Hd7 zenon_Hd9. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.04 apply (zenon_L119_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.04 apply (zenon_L120_); trivial. % 0.84/1.04 apply (zenon_L54_); trivial. % 0.84/1.04 (* end of lemma zenon_L126_ *) % 0.84/1.04 assert (zenon_L127_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c3_1 (a595)) -> (c2_1 (a595)) -> (c1_1 (a595)) -> (ndr1_0) -> (~(c0_1 (a656))) -> (c1_1 (a656)) -> (c3_1 (a656)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp9)) -> False). % 0.84/1.04 do 0 intro. intros zenon_Hdf zenon_H68 zenon_H67 zenon_H66 zenon_Hd3 zenon_He6 zenon_He5 zenon_He4 zenon_Ha zenon_H135 zenon_H136 zenon_H137 zenon_H102 zenon_H3. % 0.84/1.04 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H8d | zenon_intro zenon_He1 ]. % 0.84/1.04 apply (zenon_L121_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H2d | zenon_intro zenon_H4 ]. % 0.84/1.04 apply (zenon_L83_); trivial. % 0.84/1.04 exact (zenon_H3 zenon_H4). % 0.84/1.04 (* end of lemma zenon_L127_ *) % 0.84/1.04 assert (zenon_L128_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (~(c1_1 (a602))) -> (c2_1 (a602)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1ba zenon_Ha zenon_H19e zenon_H1ab zenon_H19f. % 0.84/1.04 generalize (zenon_H1ba (a602)). zenon_intro zenon_H1bb. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1bb); [ zenon_intro zenon_H9 | zenon_intro zenon_H1bc ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1bd ]. % 0.84/1.04 exact (zenon_H19e zenon_H1a4). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1aa ]. % 0.84/1.04 exact (zenon_H1ab zenon_H1a6). % 0.84/1.04 exact (zenon_H1aa zenon_H19f). % 0.84/1.04 (* end of lemma zenon_L128_ *) % 0.84/1.04 assert (zenon_L129_ : (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> False). % 0.84/1.04 do 0 intro. intros zenon_Hfe zenon_Ha zenon_H19e zenon_H1ba zenon_H19f zenon_H1a0. % 0.84/1.04 generalize (zenon_Hfe (a602)). zenon_intro zenon_H1ac. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1ac); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ad ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1ae ]. % 0.84/1.04 exact (zenon_H19e zenon_H1a4). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1a5 ]. % 0.84/1.04 apply (zenon_L128_); trivial. % 0.84/1.04 exact (zenon_H1a5 zenon_H1a0). % 0.84/1.04 (* end of lemma zenon_L129_ *) % 0.84/1.04 assert (zenon_L130_ : (forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> False). % 0.84/1.04 do 0 intro. intros zenon_He3 zenon_Ha zenon_H1ba zenon_H19e zenon_H19f zenon_H1a0. % 0.84/1.04 generalize (zenon_He3 (a602)). zenon_intro zenon_H1af. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b0 ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1b1 ]. % 0.84/1.04 apply (zenon_L128_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1a5 ]. % 0.84/1.04 exact (zenon_H1aa zenon_H19f). % 0.84/1.04 exact (zenon_H1a5 zenon_H1a0). % 0.84/1.04 (* end of lemma zenon_L130_ *) % 0.84/1.04 assert (zenon_L131_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_Ha zenon_H1ba zenon_H19e zenon_H19f zenon_H1a0. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.04 apply (zenon_L102_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.04 apply (zenon_L129_); trivial. % 0.84/1.04 apply (zenon_L130_); trivial. % 0.84/1.04 (* end of lemma zenon_L131_ *) % 0.84/1.04 assert (zenon_L132_ : ((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp1)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H167 zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_H17a zenon_H17b zenon_H17c zenon_H102 zenon_H1b. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.04 apply (zenon_L131_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.04 apply (zenon_L96_); trivial. % 0.84/1.04 exact (zenon_H1b zenon_H1c). % 0.84/1.04 (* end of lemma zenon_L132_ *) % 0.84/1.04 assert (zenon_L133_ : ((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1bf zenon_H16d zenon_H1be zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H1b zenon_Hac zenon_Hae. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_Ha. zenon_intro zenon_H1c0. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H17b. zenon_intro zenon_H1c1. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.04 apply (zenon_L44_); trivial. % 0.84/1.04 apply (zenon_L132_); trivial. % 0.84/1.04 (* end of lemma zenon_L133_ *) % 0.84/1.04 assert (zenon_L134_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((hskp9)\/(hskp24)) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> ((hskp10)\/((hskp9)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1c2 zenon_H1be zenon_H174 zenon_H16d zenon_H77 zenon_H1b8 zenon_H97 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_Hb0 zenon_H1b zenon_Hac zenon_Hae zenon_H7 zenon_H104 zenon_Hee zenon_H6f zenon_Hdb zenon_Hd9 zenon_H128 zenon_Hdf zenon_H157 zenon_H8c zenon_H1c3. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.04 apply (zenon_L4_); trivial. % 0.84/1.04 apply (zenon_L125_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.04 apply (zenon_L44_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L126_); trivial. % 0.84/1.04 apply (zenon_L58_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.04 apply (zenon_L44_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.04 apply (zenon_L45_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H126 | zenon_intro zenon_H13e ]. % 0.84/1.04 apply (zenon_L77_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Ha. zenon_intro zenon_H13f. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H136. zenon_intro zenon_H140. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L126_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.04 apply (zenon_L30_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.04 apply (zenon_L120_); trivial. % 0.84/1.04 apply (zenon_L127_); trivial. % 0.84/1.04 apply (zenon_L133_); trivial. % 0.84/1.04 (* end of lemma zenon_L134_ *) % 0.84/1.04 assert (zenon_L135_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp22)) -> (~(hskp4)) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_Hed zenon_H97 zenon_Hf2 zenon_Hac zenon_H66 zenon_H67 zenon_Hf4 zenon_He zenon_Hd zenon_Hc zenon_H102. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8d | zenon_intro zenon_H98 ]. % 0.84/1.04 apply (zenon_L60_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.84/1.04 apply (zenon_L6_); trivial. % 0.84/1.04 apply (zenon_L64_); trivial. % 0.84/1.04 (* end of lemma zenon_L135_ *) % 0.84/1.04 assert (zenon_L136_ : ((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H152 zenon_H104 zenon_H52 zenon_H24 zenon_H25 zenon_H26 zenon_H102 zenon_H3a zenon_H14c zenon_H131 zenon_Hac zenon_He zenon_Hd zenon_H17 zenon_H133. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H10c. zenon_intro zenon_H154. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L81_); trivial. % 0.84/1.04 apply (zenon_L92_); trivial. % 0.84/1.04 (* end of lemma zenon_L136_ *) % 0.84/1.04 assert (zenon_L137_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((hskp9)\/(hskp24)) -> (~(hskp9)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H155 zenon_H76 zenon_H156 zenon_H52 zenon_H3a zenon_H14c zenon_Hb0 zenon_H3 zenon_H133 zenon_Hac zenon_H131 zenon_Hf4 zenon_H102 zenon_H97 zenon_H104 zenon_H77 zenon_H17 zenon_H19. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.84/1.04 apply (zenon_L9_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.04 apply (zenon_L45_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L81_); trivial. % 0.84/1.04 apply (zenon_L135_); trivial. % 0.84/1.04 apply (zenon_L136_); trivial. % 0.84/1.04 (* end of lemma zenon_L137_ *) % 0.84/1.04 assert (zenon_L138_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((hskp9)\/(hskp24)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp10)) -> (~(hskp9)) -> ((hskp10)\/((hskp9)\/(hskp12))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H174 zenon_H76 zenon_H156 zenon_H52 zenon_H3a zenon_H14c zenon_Hb0 zenon_H133 zenon_Hac zenon_H131 zenon_Hf4 zenon_H102 zenon_H97 zenon_H104 zenon_H77 zenon_H17 zenon_H19 zenon_H1 zenon_H3 zenon_H7. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.04 apply (zenon_L4_); trivial. % 0.84/1.04 apply (zenon_L137_); trivial. % 0.84/1.04 (* end of lemma zenon_L138_ *) % 0.84/1.04 assert (zenon_L139_ : ((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp24)) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H13e zenon_H104 zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H1f zenon_H1d zenon_H1b zenon_Hd9 zenon_Hdb zenon_H3e. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Ha. zenon_intro zenon_H13f. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H136. zenon_intro zenon_H140. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L101_); trivial. % 0.84/1.04 apply (zenon_L108_); trivial. % 0.84/1.04 (* end of lemma zenon_L139_ *) % 0.84/1.04 assert (zenon_L140_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp24)) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> (ndr1_0) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H157 zenon_H104 zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H1f zenon_H1d zenon_H1b zenon_Hd9 zenon_Hdb zenon_H3e zenon_Ha zenon_H9e zenon_H9f zenon_Ha0 zenon_H128. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H126 | zenon_intro zenon_H13e ]. % 0.84/1.04 apply (zenon_L77_); trivial. % 0.84/1.04 apply (zenon_L139_); trivial. % 0.84/1.04 (* end of lemma zenon_L140_ *) % 0.84/1.04 assert (zenon_L141_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a600))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (c3_1 (a600)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H164 zenon_Ha zenon_H1c4 zenon_H7b zenon_H1c5. % 0.84/1.04 generalize (zenon_H164 (a600)). zenon_intro zenon_H1c6. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1c6); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c7 ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1c8 ]. % 0.84/1.04 exact (zenon_H1c4 zenon_H1c9). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1ca ]. % 0.84/1.04 generalize (zenon_H7b (a600)). zenon_intro zenon_H1cc. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1cc); [ zenon_intro zenon_H9 | zenon_intro zenon_H1cd ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1ce ]. % 0.84/1.04 exact (zenon_H1cb zenon_H1cf). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1ca ]. % 0.84/1.04 exact (zenon_H1c4 zenon_H1c9). % 0.84/1.04 exact (zenon_H1ca zenon_H1c5). % 0.84/1.04 exact (zenon_H1ca zenon_H1c5). % 0.84/1.04 (* end of lemma zenon_L141_ *) % 0.84/1.04 assert (zenon_L142_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp12)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (c3_1 (a600)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a600))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H168 zenon_H5 zenon_H190 zenon_H191 zenon_H192 zenon_Hb2 zenon_Hb3 zenon_Hb4 zenon_He0 zenon_H1c5 zenon_H7b zenon_H1c4 zenon_Ha zenon_H1b. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.84/1.04 apply (zenon_L112_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.04 apply (zenon_L141_); trivial. % 0.84/1.04 exact (zenon_H1b zenon_H1c). % 0.84/1.04 (* end of lemma zenon_L142_ *) % 0.84/1.04 assert (zenon_L143_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H15a zenon_Ha zenon_H1d0 zenon_H191 zenon_H192. % 0.84/1.04 generalize (zenon_H15a (a614)). zenon_intro zenon_H199. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H199); [ zenon_intro zenon_H9 | zenon_intro zenon_H19a ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H19c | zenon_intro zenon_H19b ]. % 0.84/1.04 generalize (zenon_H1d0 (a614)). zenon_intro zenon_H1d1. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1d1); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d2 ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H19d | zenon_intro zenon_H195 ]. % 0.84/1.04 exact (zenon_H191 zenon_H19d). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H198 | zenon_intro zenon_H197 ]. % 0.84/1.04 exact (zenon_H198 zenon_H19c). % 0.84/1.04 exact (zenon_H197 zenon_H192). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H19d | zenon_intro zenon_H197 ]. % 0.84/1.04 exact (zenon_H191 zenon_H19d). % 0.84/1.04 exact (zenon_H197 zenon_H192). % 0.84/1.04 (* end of lemma zenon_L143_ *) % 0.84/1.04 assert (zenon_L144_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1d3 zenon_H192 zenon_H191 zenon_H1d0 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d4 ]. % 0.84/1.04 apply (zenon_L143_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hd8 ]. % 0.84/1.04 apply (zenon_L26_); trivial. % 0.84/1.04 exact (zenon_Hd7 zenon_Hd8). % 0.84/1.04 (* end of lemma zenon_L144_ *) % 0.84/1.04 assert (zenon_L145_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(hskp1)) -> (~(c1_1 (a600))) -> (c3_1 (a600)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp12)) -> (~(c2_1 (a614))) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1d5 zenon_H1b zenon_H1c4 zenon_H1c5 zenon_H168 zenon_H5 zenon_H190 zenon_Hb2 zenon_Hb3 zenon_Hb4 zenon_He0 zenon_H1d3 zenon_H192 zenon_H191 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.04 apply (zenon_L142_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.04 apply (zenon_L112_); trivial. % 0.84/1.04 apply (zenon_L144_); trivial. % 0.84/1.04 (* end of lemma zenon_L145_ *) % 0.84/1.04 assert (zenon_L146_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> (~(hskp18)) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a600)) -> (~(c1_1 (a600))) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H71 zenon_H104 zenon_Hee zenon_H53 zenon_H6f zenon_H168 zenon_H1b zenon_H1c5 zenon_H1c4 zenon_Hb2 zenon_Hb3 zenon_Hb4 zenon_H190 zenon_H191 zenon_H192 zenon_H5 zenon_He0 zenon_H1d3 zenon_H1d5. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L145_); trivial. % 0.84/1.04 apply (zenon_L58_); trivial. % 0.84/1.04 (* end of lemma zenon_L146_ *) % 0.84/1.04 assert (zenon_L147_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> (~(hskp18)) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c3_1 (a600)) -> (~(c1_1 (a600))) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> (c2_1 (a605)) -> (c0_1 (a605)) -> (~(c3_1 (a605))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H77 zenon_Hee zenon_H53 zenon_H6f zenon_H168 zenon_H1c5 zenon_H1c4 zenon_Hb2 zenon_Hb3 zenon_Hb4 zenon_H190 zenon_H191 zenon_H192 zenon_H5 zenon_He0 zenon_H1d3 zenon_H1d5 zenon_H128 zenon_Ha0 zenon_H9f zenon_H9e zenon_Ha zenon_H3e zenon_Hdb zenon_Hd9 zenon_H1b zenon_H1f zenon_H17a zenon_H17b zenon_H17c zenon_H102 zenon_H104 zenon_H157. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.04 apply (zenon_L140_); trivial. % 0.84/1.04 apply (zenon_L146_); trivial. % 0.84/1.04 (* end of lemma zenon_L147_ *) % 0.84/1.04 assert (zenon_L148_ : (forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61)))))) -> (ndr1_0) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1d7 zenon_Ha zenon_H190 zenon_H191 zenon_H192. % 0.84/1.04 generalize (zenon_H1d7 (a614)). zenon_intro zenon_H1d8. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1d8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d9 ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H196 | zenon_intro zenon_H19b ]. % 0.84/1.04 exact (zenon_H190 zenon_H196). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H19d | zenon_intro zenon_H197 ]. % 0.84/1.04 exact (zenon_H191 zenon_H19d). % 0.84/1.04 exact (zenon_H197 zenon_H192). % 0.84/1.04 (* end of lemma zenon_L148_ *) % 0.84/1.04 assert (zenon_L149_ : ((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c2_1 (a637)) -> (c1_1 (a637)) -> (c0_1 (a637)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H39 zenon_H1da zenon_H192 zenon_H191 zenon_H190 zenon_H42 zenon_H41 zenon_H40. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1db ]. % 0.84/1.04 apply (zenon_L148_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H3f | zenon_intro zenon_H2d ]. % 0.84/1.04 apply (zenon_L18_); trivial. % 0.84/1.04 apply (zenon_L14_); trivial. % 0.84/1.04 (* end of lemma zenon_L149_ *) % 0.84/1.04 assert (zenon_L150_ : ((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c3_1 (a667))) -> (~(c1_1 (a667))) -> (~(c0_1 (a667))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H39 zenon_H121 zenon_H11a zenon_H119 zenon_H118 zenon_H7e zenon_H7d zenon_H7c. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.84/1.04 apply (zenon_L73_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.84/1.04 apply (zenon_L30_); trivial. % 0.84/1.04 apply (zenon_L14_); trivial. % 0.84/1.04 (* end of lemma zenon_L150_ *) % 0.84/1.04 assert (zenon_L151_ : ((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H123 zenon_H3e zenon_H121 zenon_H7e zenon_H7d zenon_H7c zenon_H1b zenon_H1d zenon_H1f. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H118. zenon_intro zenon_H125. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H119. zenon_intro zenon_H11a. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.04 apply (zenon_L12_); trivial. % 0.84/1.04 apply (zenon_L150_); trivial. % 0.84/1.04 (* end of lemma zenon_L151_ *) % 0.84/1.04 assert (zenon_L152_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp24)) -> (~(hskp1)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H173 zenon_H121 zenon_H7e zenon_H7d zenon_H7c zenon_H109 zenon_H105 zenon_H1f zenon_H1d zenon_H1b zenon_H190 zenon_H191 zenon_H192 zenon_H1da zenon_H3e zenon_H52. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.84/1.04 apply (zenon_L69_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.04 apply (zenon_L12_); trivial. % 0.84/1.04 apply (zenon_L149_); trivial. % 0.84/1.04 apply (zenon_L151_); trivial. % 0.84/1.04 (* end of lemma zenon_L152_ *) % 0.84/1.04 assert (zenon_L153_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(hskp12)) -> (~(c2_1 (a614))) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1d5 zenon_H7e zenon_H7d zenon_H7c zenon_H5 zenon_H190 zenon_Hb2 zenon_Hb3 zenon_Hb4 zenon_He0 zenon_H1d3 zenon_H192 zenon_H191 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.04 apply (zenon_L30_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.04 apply (zenon_L112_); trivial. % 0.84/1.04 apply (zenon_L144_); trivial. % 0.84/1.04 (* end of lemma zenon_L153_ *) % 0.84/1.04 assert (zenon_L154_ : ((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c2_1 (a615)) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H13e zenon_H104 zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H7c zenon_H7d zenon_H7e zenon_He0 zenon_H5 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb3 zenon_Hb2 zenon_H1d3 zenon_H68 zenon_H67 zenon_H66 zenon_H1d5. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Ha. zenon_intro zenon_H13f. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H136. zenon_intro zenon_H140. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L153_); trivial. % 0.84/1.04 apply (zenon_L108_); trivial. % 0.84/1.04 (* end of lemma zenon_L154_ *) % 0.84/1.04 assert (zenon_L155_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c2_1 (a615)) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H71 zenon_H157 zenon_H104 zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H7c zenon_H7d zenon_H7e zenon_He0 zenon_H5 zenon_H192 zenon_H191 zenon_H190 zenon_Hb4 zenon_Hb3 zenon_Hb2 zenon_H1d3 zenon_H1d5 zenon_H9e zenon_H9f zenon_Ha0 zenon_H128. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H126 | zenon_intro zenon_H13e ]. % 0.84/1.04 apply (zenon_L77_); trivial. % 0.84/1.04 apply (zenon_L154_); trivial. % 0.84/1.04 (* end of lemma zenon_L155_ *) % 0.84/1.04 assert (zenon_L156_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a615)) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H87 zenon_H77 zenon_H157 zenon_H104 zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_He0 zenon_H5 zenon_Hb4 zenon_Hb3 zenon_Hb2 zenon_H1d3 zenon_H1d5 zenon_H9e zenon_H9f zenon_Ha0 zenon_H128 zenon_H52 zenon_H3e zenon_H1da zenon_H192 zenon_H191 zenon_H190 zenon_H1b zenon_H1f zenon_H105 zenon_H109 zenon_H121 zenon_H173. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.04 apply (zenon_L152_); trivial. % 0.84/1.04 apply (zenon_L155_); trivial. % 0.84/1.04 (* end of lemma zenon_L156_ *) % 0.84/1.04 assert (zenon_L157_ : (~(hskp20)) -> (hskp20) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1dc zenon_H1dd. % 0.84/1.04 exact (zenon_H1dc zenon_H1dd). % 0.84/1.04 (* end of lemma zenon_L157_ *) % 0.84/1.04 assert (zenon_L158_ : ((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (~(hskp20)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H167 zenon_H1de zenon_H26 zenon_H25 zenon_H24 zenon_H1dc. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H164 | zenon_intro zenon_H1df ]. % 0.84/1.04 apply (zenon_L96_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H23 | zenon_intro zenon_H1dd ]. % 0.84/1.04 apply (zenon_L13_); trivial. % 0.84/1.04 exact (zenon_H1dc zenon_H1dd). % 0.84/1.04 (* end of lemma zenon_L158_ *) % 0.84/1.04 assert (zenon_L159_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H16d zenon_H1de zenon_H1dc zenon_H26 zenon_H25 zenon_H24 zenon_H1b zenon_Hac zenon_Hae. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.04 apply (zenon_L44_); trivial. % 0.84/1.04 apply (zenon_L158_); trivial. % 0.84/1.04 (* end of lemma zenon_L159_ *) % 0.84/1.04 assert (zenon_L160_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c2_1 (a630))) -> (c0_1 (a630)) -> (c3_1 (a630)) -> False). % 0.84/1.04 do 0 intro. intros zenon_Hd3 zenon_Ha zenon_H1e0 zenon_H1e1 zenon_H1e2. % 0.84/1.04 generalize (zenon_Hd3 (a630)). zenon_intro zenon_H1e3. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1e3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e4 ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e5 ]. % 0.84/1.04 exact (zenon_H1e0 zenon_H1e6). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e7 ]. % 0.84/1.04 exact (zenon_H1e8 zenon_H1e1). % 0.84/1.04 exact (zenon_H1e7 zenon_H1e2). % 0.84/1.04 (* end of lemma zenon_L160_ *) % 0.84/1.04 assert (zenon_L161_ : ((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(hskp13)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1e9 zenon_H18e zenon_H17c zenon_H17b zenon_H17a zenon_H18c. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_Ha. zenon_intro zenon_H1ea. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_Hfa | zenon_intro zenon_H18f ]. % 0.84/1.04 apply (zenon_L102_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H18d ]. % 0.84/1.04 apply (zenon_L160_); trivial. % 0.84/1.04 exact (zenon_H18c zenon_H18d). % 0.84/1.04 (* end of lemma zenon_L161_ *) % 0.84/1.04 assert (zenon_L162_ : ((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((hskp1)\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H78 zenon_H1ec zenon_H18e zenon_H18c zenon_H17c zenon_H17b zenon_H17a zenon_Hae zenon_Hac zenon_H1b zenon_H1de zenon_H16d. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.84/1.04 apply (zenon_L159_); trivial. % 0.84/1.04 apply (zenon_L161_); trivial. % 0.84/1.04 (* end of lemma zenon_L162_ *) % 0.84/1.04 assert (zenon_L163_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((hskp1)\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> (ndr1_0) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H76 zenon_H1ec zenon_H18e zenon_H18c zenon_H17c zenon_H17b zenon_H17a zenon_Hae zenon_Hac zenon_H1b zenon_H1de zenon_H16d zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.84/1.04 apply (zenon_L9_); trivial. % 0.84/1.04 apply (zenon_L162_); trivial. % 0.84/1.04 (* end of lemma zenon_L163_ *) % 0.84/1.04 assert (zenon_L164_ : ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H56 zenon_He zenon_Hd zenon_Hc zenon_H68 zenon_H67 zenon_H66 zenon_H8d zenon_Ha zenon_H53. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_Hb | zenon_intro zenon_H5c ]. % 0.84/1.04 apply (zenon_L6_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5d | zenon_intro zenon_H54 ]. % 0.84/1.04 generalize (zenon_H5d (a651)). zenon_intro zenon_H1ed. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1ed); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ee ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_Hbb | zenon_intro zenon_H6b ]. % 0.84/1.04 apply (zenon_L47_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ]. % 0.84/1.04 exact (zenon_H6e zenon_H67). % 0.84/1.04 exact (zenon_H6d zenon_H68). % 0.84/1.04 exact (zenon_H53 zenon_H54). % 0.84/1.04 (* end of lemma zenon_L164_ *) % 0.84/1.04 assert (zenon_L165_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp18)) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_Hed zenon_H97 zenon_H53 zenon_H66 zenon_H67 zenon_H68 zenon_H56 zenon_He zenon_Hd zenon_Hc zenon_H102. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8d | zenon_intro zenon_H98 ]. % 0.84/1.04 apply (zenon_L164_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.84/1.04 apply (zenon_L6_); trivial. % 0.84/1.04 apply (zenon_L64_); trivial. % 0.84/1.04 (* end of lemma zenon_L165_ *) % 0.84/1.04 assert (zenon_L166_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> (~(hskp18)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (ndr1_0) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H76 zenon_H77 zenon_H104 zenon_H97 zenon_H102 zenon_H131 zenon_Hac zenon_H133 zenon_H52 zenon_H4e zenon_H4b zenon_H1f zenon_H1b zenon_H3a zenon_H3e zenon_H53 zenon_H56 zenon_H64 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.84/1.04 apply (zenon_L9_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.04 apply (zenon_L25_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L81_); trivial. % 0.84/1.04 apply (zenon_L165_); trivial. % 0.84/1.04 (* end of lemma zenon_L166_ *) % 0.84/1.04 assert (zenon_L167_ : ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c2_1 (a637)) -> (c1_1 (a637)) -> (c0_1 (a637)) -> (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (c2_1 (a595)) -> (c3_1 (a595)) -> (c1_1 (a595)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1da zenon_H192 zenon_H191 zenon_H190 zenon_H42 zenon_H41 zenon_H40 zenon_Hfe zenon_Ha zenon_He5 zenon_He6 zenon_He4. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1db ]. % 0.84/1.04 apply (zenon_L148_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H3f | zenon_intro zenon_H2d ]. % 0.84/1.04 apply (zenon_L18_); trivial. % 0.84/1.04 apply (zenon_L63_); trivial. % 0.84/1.04 (* end of lemma zenon_L167_ *) % 0.84/1.04 assert (zenon_L168_ : ((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H4d zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H190 zenon_H191 zenon_H192 zenon_H1da zenon_He4 zenon_He5 zenon_He6. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.04 apply (zenon_L102_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.04 apply (zenon_L167_); trivial. % 0.84/1.04 apply (zenon_L57_); trivial. % 0.84/1.04 (* end of lemma zenon_L168_ *) % 0.84/1.04 assert (zenon_L169_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(hskp3)) -> (~(hskp26)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> False). % 0.84/1.04 do 0 intro. intros zenon_Hed zenon_H52 zenon_H102 zenon_H190 zenon_H191 zenon_H192 zenon_H1da zenon_H17c zenon_H17b zenon_H17a zenon_H105 zenon_H107 zenon_H109. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.84/1.04 apply (zenon_L69_); trivial. % 0.84/1.04 apply (zenon_L168_); trivial. % 0.84/1.04 (* end of lemma zenon_L169_ *) % 0.84/1.04 assert (zenon_L170_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(hskp3)) -> (~(hskp26)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H104 zenon_H52 zenon_H102 zenon_H190 zenon_H191 zenon_H192 zenon_H1da zenon_H17c zenon_H17b zenon_H17a zenon_H105 zenon_H107 zenon_H109 zenon_H131 zenon_Hac zenon_He zenon_Hd zenon_Ha zenon_H17 zenon_H133. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L81_); trivial. % 0.84/1.04 apply (zenon_L169_); trivial. % 0.84/1.04 (* end of lemma zenon_L170_ *) % 0.84/1.04 assert (zenon_L171_ : ((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H123 zenon_H104 zenon_H121 zenon_H102 zenon_H7e zenon_H7d zenon_H7c zenon_H131 zenon_Hac zenon_He zenon_Hd zenon_H17 zenon_H133. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H118. zenon_intro zenon_H125. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H119. zenon_intro zenon_H11a. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L81_); trivial. % 0.84/1.04 apply (zenon_L74_); trivial. % 0.84/1.04 (* end of lemma zenon_L171_ *) % 0.84/1.04 assert (zenon_L172_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_Hed zenon_H97 zenon_H90 zenon_H8f zenon_H8e zenon_He zenon_Hd zenon_Hc zenon_H102. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8d | zenon_intro zenon_H98 ]. % 0.84/1.04 apply (zenon_L34_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.84/1.04 apply (zenon_L6_); trivial. % 0.84/1.04 apply (zenon_L64_); trivial. % 0.84/1.04 (* end of lemma zenon_L172_ *) % 0.84/1.04 assert (zenon_L173_ : ((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c1_1 (a609))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H99 zenon_H104 zenon_H97 zenon_H102 zenon_Hc zenon_H131 zenon_Hac zenon_He zenon_Hd zenon_H17 zenon_H133. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L81_); trivial. % 0.84/1.04 apply (zenon_L172_); trivial. % 0.84/1.04 (* end of lemma zenon_L173_ *) % 0.84/1.04 assert (zenon_L174_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H155 zenon_H1ef zenon_H9c zenon_H77 zenon_H104 zenon_H97 zenon_H102 zenon_H131 zenon_H133 zenon_H52 zenon_H4e zenon_H1f zenon_H3a zenon_H3e zenon_H56 zenon_H64 zenon_H1da zenon_H105 zenon_H109 zenon_H121 zenon_H173 zenon_H8c zenon_H19 zenon_H17 zenon_H16d zenon_H1de zenon_H1b zenon_Hac zenon_Hae zenon_H17a zenon_H17b zenon_H17c zenon_H18e zenon_H1ec zenon_H76. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.04 apply (zenon_L163_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.04 apply (zenon_L166_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.84/1.04 apply (zenon_L170_); trivial. % 0.84/1.04 apply (zenon_L171_); trivial. % 0.84/1.04 apply (zenon_L173_); trivial. % 0.84/1.04 (* end of lemma zenon_L174_ *) % 0.84/1.04 assert (zenon_L175_ : ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp12)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Ha zenon_H18c zenon_H5. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ]. % 0.84/1.04 generalize (zenon_H1f8 (a599)). zenon_intro zenon_H1f9. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1f9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1fa ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1fb ]. % 0.84/1.04 exact (zenon_H1f6 zenon_H1fc). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1fd ]. % 0.84/1.04 exact (zenon_H1fe zenon_H1f5). % 0.84/1.04 exact (zenon_H1fd zenon_H1f4). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H18d | zenon_intro zenon_H6 ]. % 0.84/1.04 exact (zenon_H18c zenon_H18d). % 0.84/1.04 exact (zenon_H5 zenon_H6). % 0.84/1.04 (* end of lemma zenon_L175_ *) % 0.84/1.04 assert (zenon_L176_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (c3_1 (a599)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H164 zenon_Ha zenon_H1f6 zenon_H7b zenon_H1f4. % 0.84/1.04 generalize (zenon_H164 (a599)). zenon_intro zenon_H1ff. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1ff); [ zenon_intro zenon_H9 | zenon_intro zenon_H200 ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1fc | zenon_intro zenon_H201 ]. % 0.84/1.04 exact (zenon_H1f6 zenon_H1fc). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H202 | zenon_intro zenon_H1fd ]. % 0.84/1.04 generalize (zenon_H7b (a599)). zenon_intro zenon_H203. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H203); [ zenon_intro zenon_H9 | zenon_intro zenon_H204 ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H206 | zenon_intro zenon_H205 ]. % 0.84/1.04 exact (zenon_H202 zenon_H206). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1fd ]. % 0.84/1.04 exact (zenon_H1f6 zenon_H1fc). % 0.84/1.04 exact (zenon_H1fd zenon_H1f4). % 0.84/1.04 exact (zenon_H1fd zenon_H1f4). % 0.84/1.04 (* end of lemma zenon_L176_ *) % 0.84/1.04 assert (zenon_L177_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp12)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (c3_1 (a599)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H168 zenon_H5 zenon_H190 zenon_H191 zenon_H192 zenon_Hb2 zenon_Hb3 zenon_Hb4 zenon_He0 zenon_H1f4 zenon_H7b zenon_H1f6 zenon_Ha zenon_H1b. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.84/1.04 apply (zenon_L112_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.04 apply (zenon_L176_); trivial. % 0.84/1.04 exact (zenon_H1b zenon_H1c). % 0.84/1.04 (* end of lemma zenon_L177_ *) % 0.84/1.04 assert (zenon_L178_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(hskp1)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp12)) -> (~(c2_1 (a614))) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1d5 zenon_H1b zenon_H1f6 zenon_H1f4 zenon_H168 zenon_H5 zenon_H190 zenon_Hb2 zenon_Hb3 zenon_Hb4 zenon_He0 zenon_H1d3 zenon_H192 zenon_H191 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.04 apply (zenon_L177_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.04 apply (zenon_L112_); trivial. % 0.84/1.04 apply (zenon_L144_); trivial. % 0.84/1.04 (* end of lemma zenon_L178_ *) % 0.84/1.04 assert (zenon_L179_ : ((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H4d zenon_H102 zenon_H190 zenon_H191 zenon_H192 zenon_H1da zenon_He4 zenon_He5 zenon_He6. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1db ]. % 0.84/1.04 apply (zenon_L148_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H3f | zenon_intro zenon_H2d ]. % 0.84/1.04 apply (zenon_L18_); trivial. % 0.84/1.04 apply (zenon_L62_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.04 apply (zenon_L167_); trivial. % 0.84/1.04 apply (zenon_L57_); trivial. % 0.84/1.04 (* end of lemma zenon_L179_ *) % 0.84/1.04 assert (zenon_L180_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> (~(hskp26)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> False). % 0.84/1.04 do 0 intro. intros zenon_Hed zenon_H52 zenon_H102 zenon_H190 zenon_H191 zenon_H192 zenon_H1da zenon_H105 zenon_H107 zenon_H109. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.84/1.04 apply (zenon_L69_); trivial. % 0.84/1.04 apply (zenon_L179_); trivial. % 0.84/1.04 (* end of lemma zenon_L180_ *) % 0.84/1.04 assert (zenon_L181_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> (~(hskp26)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H104 zenon_H52 zenon_H102 zenon_H1da zenon_H105 zenon_H107 zenon_H109 zenon_H168 zenon_H1b zenon_H1f4 zenon_H1f6 zenon_Ha zenon_Hb2 zenon_Hb3 zenon_Hb4 zenon_H190 zenon_H191 zenon_H192 zenon_H5 zenon_He0 zenon_H1d3 zenon_H68 zenon_H67 zenon_H66 zenon_H1d5. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L178_); trivial. % 0.84/1.04 apply (zenon_L180_); trivial. % 0.84/1.04 (* end of lemma zenon_L181_ *) % 0.84/1.04 assert (zenon_L182_ : ((hskp10)\/((hskp12)\/(hskp18))) -> (~(hskp10)) -> (~(hskp12)) -> (~(hskp18)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H207 zenon_H1 zenon_H5 zenon_H53. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H2 | zenon_intro zenon_H208 ]. % 0.84/1.04 exact (zenon_H1 zenon_H2). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H6 | zenon_intro zenon_H54 ]. % 0.84/1.04 exact (zenon_H5 zenon_H6). % 0.84/1.04 exact (zenon_H53 zenon_H54). % 0.84/1.04 (* end of lemma zenon_L182_ *) % 0.84/1.04 assert (zenon_L183_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(hskp21)) -> (~(c1_1 (a599))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1d5 zenon_H7e zenon_H7d zenon_H7c zenon_Haa zenon_H1f6 zenon_H1ba zenon_H1f5 zenon_H1f4 zenon_H209 zenon_H1d3 zenon_H192 zenon_H191 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.04 apply (zenon_L30_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H164 | zenon_intro zenon_H20a ]. % 0.84/1.04 generalize (zenon_H164 (a599)). zenon_intro zenon_H1ff. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1ff); [ zenon_intro zenon_H9 | zenon_intro zenon_H200 ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1fc | zenon_intro zenon_H201 ]. % 0.84/1.04 exact (zenon_H1f6 zenon_H1fc). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H202 | zenon_intro zenon_H1fd ]. % 0.84/1.04 generalize (zenon_H1ba (a599)). zenon_intro zenon_H20b. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H20b); [ zenon_intro zenon_H9 | zenon_intro zenon_H20c ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H206 | zenon_intro zenon_H20d ]. % 0.84/1.04 exact (zenon_H202 zenon_H206). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1fe ]. % 0.84/1.04 exact (zenon_H1f6 zenon_H1fc). % 0.84/1.04 exact (zenon_H1fe zenon_H1f5). % 0.84/1.04 exact (zenon_H1fd zenon_H1f4). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1d0 | zenon_intro zenon_Hab ]. % 0.84/1.04 apply (zenon_L143_); trivial. % 0.84/1.04 exact (zenon_Haa zenon_Hab). % 0.84/1.04 apply (zenon_L144_); trivial. % 0.84/1.04 (* end of lemma zenon_L183_ *) % 0.84/1.04 assert (zenon_L184_ : (forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73)))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 0.84/1.04 do 0 intro. intros zenon_Hb1 zenon_Ha zenon_H1f6 zenon_H1b2 zenon_H1f5 zenon_H1f4. % 0.84/1.04 generalize (zenon_Hb1 (a599)). zenon_intro zenon_H20e. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H20e); [ zenon_intro zenon_H9 | zenon_intro zenon_H20f ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1fc | zenon_intro zenon_H210 ]. % 0.84/1.04 exact (zenon_H1f6 zenon_H1fc). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H202 | zenon_intro zenon_H1fe ]. % 0.84/1.04 generalize (zenon_H1b2 (a599)). zenon_intro zenon_H211. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H211); [ zenon_intro zenon_H9 | zenon_intro zenon_H212 ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H206 | zenon_intro zenon_H1fb ]. % 0.84/1.04 exact (zenon_H202 zenon_H206). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1fd ]. % 0.84/1.04 exact (zenon_H1fe zenon_H1f5). % 0.84/1.04 exact (zenon_H1fd zenon_H1f4). % 0.84/1.04 exact (zenon_H1fe zenon_H1f5). % 0.84/1.04 (* end of lemma zenon_L184_ *) % 0.84/1.04 assert (zenon_L185_ : ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))) -> (~(c1_1 (a599))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (~(c2_1 (a614))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.84/1.04 do 0 intro. intros zenon_He0 zenon_H1f4 zenon_H1f5 zenon_H1b2 zenon_H1f6 zenon_H192 zenon_H191 zenon_H15a zenon_H190 zenon_Ha zenon_H5. % 0.84/1.04 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_He2 ]. % 0.84/1.04 apply (zenon_L184_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H6 ]. % 0.84/1.04 apply (zenon_L111_); trivial. % 0.84/1.04 exact (zenon_H5 zenon_H6). % 0.84/1.04 (* end of lemma zenon_L185_ *) % 0.84/1.04 assert (zenon_L186_ : (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(c2_1 (a651))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> False). % 0.84/1.04 do 0 intro. intros zenon_Hfe zenon_Ha zenon_Hd3 zenon_H66 zenon_H68 zenon_H67. % 0.84/1.04 generalize (zenon_Hfe (a651)). zenon_intro zenon_H213. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H213); [ zenon_intro zenon_H9 | zenon_intro zenon_H214 ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_Hbf | zenon_intro zenon_H6b ]. % 0.84/1.04 generalize (zenon_Hd3 (a651)). zenon_intro zenon_H1b5. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1b5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b6 ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H6c | zenon_intro zenon_H1b7 ]. % 0.84/1.04 exact (zenon_H66 zenon_H6c). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_Hbb | zenon_intro zenon_H6d ]. % 0.84/1.04 exact (zenon_Hbb zenon_Hbf). % 0.84/1.04 exact (zenon_H6d zenon_H68). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ]. % 0.84/1.04 exact (zenon_H6e zenon_H67). % 0.84/1.04 exact (zenon_H6d zenon_H68). % 0.84/1.04 (* end of lemma zenon_L186_ *) % 0.84/1.04 assert (zenon_L187_ : (~(hskp8)) -> (hskp8) -> False). % 0.84/1.04 do 0 intro. intros zenon_H215 zenon_H216. % 0.84/1.04 exact (zenon_H215 zenon_H216). % 0.84/1.04 (* end of lemma zenon_L187_ *) % 0.84/1.04 assert (zenon_L188_ : ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> (~(c2_1 (a651))) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp8)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H217 zenon_H67 zenon_H68 zenon_H66 zenon_Hd3 zenon_Ha zenon_Ha7 zenon_H215. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hfe | zenon_intro zenon_H218 ]. % 0.84/1.04 apply (zenon_L186_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H216 ]. % 0.84/1.04 exact (zenon_Ha7 zenon_Ha8). % 0.84/1.04 exact (zenon_H215 zenon_H216). % 0.84/1.04 (* end of lemma zenon_L188_ *) % 0.84/1.04 assert (zenon_L189_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (~(hskp21)) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> (~(hskp28)) -> (ndr1_0) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp12)) -> (~(c2_1 (a614))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(hskp1)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1be zenon_H209 zenon_Haa zenon_H7c zenon_H7d zenon_H7e zenon_Hd7 zenon_Ha zenon_H66 zenon_H67 zenon_H68 zenon_H191 zenon_H192 zenon_H1d3 zenon_H1b8 zenon_H5 zenon_H190 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_He0 zenon_H217 zenon_Ha7 zenon_H215 zenon_H1d5 zenon_H1b. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.04 apply (zenon_L183_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.04 apply (zenon_L176_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.04 apply (zenon_L176_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.04 apply (zenon_L185_); trivial. % 0.84/1.04 apply (zenon_L188_); trivial. % 0.84/1.04 apply (zenon_L144_); trivial. % 0.84/1.04 exact (zenon_H1b zenon_H1c). % 0.84/1.04 (* end of lemma zenon_L189_ *) % 0.84/1.04 assert (zenon_L190_ : ((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(hskp21)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a614))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H123 zenon_H104 zenon_H121 zenon_H102 zenon_H1d5 zenon_H66 zenon_H67 zenon_H68 zenon_H1d3 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H191 zenon_H192 zenon_Haa zenon_H209 zenon_H7e zenon_H7d zenon_H7c zenon_He0 zenon_H5 zenon_H190 zenon_H217 zenon_H215 zenon_Ha7 zenon_H1b8 zenon_H1b zenon_H1be. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H118. zenon_intro zenon_H125. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H119. zenon_intro zenon_H11a. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L189_); trivial. % 0.84/1.04 apply (zenon_L74_); trivial. % 0.84/1.04 (* end of lemma zenon_L190_ *) % 0.84/1.04 assert (zenon_L191_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H77 zenon_H1be zenon_H1b8 zenon_Ha7 zenon_H215 zenon_H217 zenon_H5 zenon_He0 zenon_H209 zenon_Haa zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1d3 zenon_H1d5 zenon_H17a zenon_H17b zenon_H17c zenon_H102 zenon_H104 zenon_H52 zenon_H3e zenon_H1da zenon_H192 zenon_H191 zenon_H190 zenon_H1b zenon_H1f zenon_H105 zenon_H109 zenon_H7c zenon_H7d zenon_H7e zenon_H121 zenon_H173. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.04 apply (zenon_L152_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L189_); trivial. % 0.84/1.04 apply (zenon_L169_); trivial. % 0.84/1.04 apply (zenon_L190_); trivial. % 0.84/1.04 (* end of lemma zenon_L191_ *) % 0.84/1.04 assert (zenon_L192_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(hskp12)) -> (~(c2_1 (a614))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp8)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1b8 zenon_H7e zenon_H7d zenon_H7c zenon_H5 zenon_H190 zenon_H15a zenon_H191 zenon_H192 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_He0 zenon_H217 zenon_H67 zenon_H68 zenon_H66 zenon_Ha zenon_Ha7 zenon_H215. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.04 apply (zenon_L30_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.04 apply (zenon_L185_); trivial. % 0.84/1.04 apply (zenon_L188_); trivial. % 0.84/1.04 (* end of lemma zenon_L192_ *) % 0.84/1.04 assert (zenon_L193_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c2_1 (a614))) -> (~(hskp12)) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1d5 zenon_H215 zenon_Ha7 zenon_H217 zenon_He0 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H190 zenon_H5 zenon_H7c zenon_H7d zenon_H7e zenon_H1b8 zenon_H1d3 zenon_H192 zenon_H191 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.04 apply (zenon_L30_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.04 apply (zenon_L192_); trivial. % 0.84/1.04 apply (zenon_L144_); trivial. % 0.84/1.04 (* end of lemma zenon_L193_ *) % 0.84/1.04 assert (zenon_L194_ : ((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c0_1 (a631)) -> (c3_1 (a631)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H123 zenon_H104 zenon_H102 zenon_H7c zenon_H7d zenon_H7e zenon_H1d5 zenon_H66 zenon_H67 zenon_H68 zenon_H1d3 zenon_He0 zenon_H5 zenon_H192 zenon_H191 zenon_H190 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Hc4 zenon_Hc6 zenon_H1b8 zenon_H121. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H118. zenon_intro zenon_H125. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H119. zenon_intro zenon_H11a. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.84/1.04 apply (zenon_L73_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.84/1.04 apply (zenon_L30_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.04 apply (zenon_L30_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.04 apply (zenon_L30_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.04 apply (zenon_L185_); trivial. % 0.84/1.04 apply (zenon_L51_); trivial. % 0.84/1.04 apply (zenon_L144_); trivial. % 0.84/1.04 apply (zenon_L74_); trivial. % 0.84/1.04 (* end of lemma zenon_L194_ *) % 0.84/1.04 assert (zenon_L195_ : ((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H167 zenon_H77 zenon_H1d5 zenon_H1d3 zenon_He0 zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H217 zenon_H215 zenon_Ha7 zenon_H1b8 zenon_H17a zenon_H17b zenon_H17c zenon_H102 zenon_H104 zenon_H52 zenon_H3e zenon_H1da zenon_H192 zenon_H191 zenon_H190 zenon_H1b zenon_H1f zenon_H105 zenon_H109 zenon_H7c zenon_H7d zenon_H7e zenon_H121 zenon_H173. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.04 apply (zenon_L152_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L193_); trivial. % 0.84/1.04 apply (zenon_L169_); trivial. % 0.84/1.04 apply (zenon_L194_); trivial. % 0.84/1.04 (* end of lemma zenon_L195_ *) % 0.84/1.04 assert (zenon_L196_ : (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))) -> (ndr1_0) -> (~(c3_1 (a614))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (~(c2_1 (a614))) -> (c1_1 (a614)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1d0 zenon_Ha zenon_H191 zenon_H8d zenon_H190 zenon_H192. % 0.84/1.04 generalize (zenon_H1d0 (a614)). zenon_intro zenon_H1d1. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H1d1); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d2 ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H19d | zenon_intro zenon_H195 ]. % 0.84/1.04 exact (zenon_H191 zenon_H19d). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H198 | zenon_intro zenon_H197 ]. % 0.84/1.04 generalize (zenon_H8d (a614)). zenon_intro zenon_H219. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H219); [ zenon_intro zenon_H9 | zenon_intro zenon_H21a ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H19c | zenon_intro zenon_H21b ]. % 0.84/1.04 exact (zenon_H198 zenon_H19c). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ]. % 0.84/1.04 exact (zenon_H190 zenon_H196). % 0.84/1.04 exact (zenon_H197 zenon_H192). % 0.84/1.04 exact (zenon_H197 zenon_H192). % 0.84/1.04 (* end of lemma zenon_L196_ *) % 0.84/1.04 assert (zenon_L197_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))) -> (c2_1 (a672)) -> (c3_1 (a672)) -> (c0_1 (a672)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H164 zenon_Ha zenon_He3 zenon_H2f zenon_H30 zenon_H2e. % 0.84/1.04 generalize (zenon_H164 (a672)). zenon_intro zenon_H21c. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H21c); [ zenon_intro zenon_H9 | zenon_intro zenon_H21d ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H21f | zenon_intro zenon_H21e ]. % 0.84/1.04 generalize (zenon_He3 (a672)). zenon_intro zenon_H220. % 0.84/1.04 apply (zenon_imply_s _ _ zenon_H220); [ zenon_intro zenon_H9 | zenon_intro zenon_H221 ]. % 0.84/1.04 exact (zenon_H9 zenon_Ha). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H222 | zenon_intro zenon_H33 ]. % 0.84/1.04 exact (zenon_H222 zenon_H21f). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ]. % 0.84/1.04 exact (zenon_H36 zenon_H2f). % 0.84/1.04 exact (zenon_H35 zenon_H30). % 0.84/1.04 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H34 | zenon_intro zenon_H35 ]. % 0.84/1.04 exact (zenon_H34 zenon_H2e). % 0.84/1.04 exact (zenon_H35 zenon_H30). % 0.84/1.04 (* end of lemma zenon_L197_ *) % 0.84/1.04 assert (zenon_L198_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(c2_1 (a614))) -> (~(hskp1)) -> (ndr1_0) -> (c2_1 (a672)) -> (c3_1 (a672)) -> (c0_1 (a672)) -> (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H223 zenon_H190 zenon_H1b zenon_Ha zenon_H2f zenon_H30 zenon_H2e zenon_H1d0 zenon_H191 zenon_H192 zenon_H168 zenon_H1. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H8d | zenon_intro zenon_H224 ]. % 0.84/1.04 apply (zenon_L196_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.84/1.04 apply (zenon_L143_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.04 apply (zenon_L197_); trivial. % 0.84/1.04 exact (zenon_H1b zenon_H1c). % 0.84/1.04 exact (zenon_H1 zenon_H2). % 0.84/1.04 (* end of lemma zenon_L198_ *) % 0.84/1.04 assert (zenon_L199_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))) -> (c3_1 (a595)) -> (c2_1 (a595)) -> (c1_1 (a595)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.84/1.04 do 0 intro. intros zenon_H223 zenon_H192 zenon_H190 zenon_H191 zenon_H1d0 zenon_He6 zenon_He5 zenon_He4 zenon_Ha zenon_H1. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H8d | zenon_intro zenon_H224 ]. % 0.84/1.04 apply (zenon_L196_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 0.84/1.04 apply (zenon_L57_); trivial. % 0.84/1.04 exact (zenon_H1 zenon_H2). % 0.84/1.04 (* end of lemma zenon_L199_ *) % 0.84/1.04 assert (zenon_L200_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(hskp12)) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (~(hskp10)) -> False). % 0.84/1.04 do 0 intro. intros zenon_Hed zenon_H1d5 zenon_H7e zenon_H7d zenon_H7c zenon_H5 zenon_Hb2 zenon_Hb3 zenon_Hb4 zenon_He0 zenon_H223 zenon_H192 zenon_H190 zenon_H191 zenon_H1. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.04 apply (zenon_L30_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.04 apply (zenon_L112_); trivial. % 0.84/1.04 apply (zenon_L199_); trivial. % 0.84/1.04 (* end of lemma zenon_L200_ *) % 0.84/1.04 assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> (~(hskp10)) -> (~(hskp12)) -> ((hskp10)\/((hskp12)\/(hskp18))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H177 zenon_H8c zenon_H77 zenon_H104 zenon_H1d3 zenon_H1f zenon_H1b zenon_He0 zenon_H192 zenon_H191 zenon_H190 zenon_H223 zenon_H168 zenon_H1d5 zenon_H3e zenon_H1 zenon_H5 zenon_H207. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.04 apply (zenon_L182_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.04 apply (zenon_L12_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.04 apply (zenon_L30_); trivial. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.04 apply (zenon_L112_); trivial. % 0.84/1.04 apply (zenon_L198_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.04 apply (zenon_L153_); trivial. % 0.84/1.04 apply (zenon_L200_); trivial. % 0.84/1.04 (* end of lemma zenon_L201_ *) % 0.84/1.04 assert (zenon_L202_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H1ef zenon_H172 zenon_H223 zenon_H168 zenon_H207 zenon_H1 zenon_H77 zenon_H1be zenon_H1b8 zenon_H215 zenon_H217 zenon_He0 zenon_H209 zenon_H1d3 zenon_H1d5 zenon_H17a zenon_H17b zenon_H17c zenon_H102 zenon_H104 zenon_H52 zenon_H3e zenon_H1da zenon_H1b zenon_H1f zenon_H105 zenon_H109 zenon_H121 zenon_H173 zenon_H16d zenon_H8c zenon_Ha zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H1f3. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.04 apply (zenon_L175_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.04 apply (zenon_L182_); trivial. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.04 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.04 apply (zenon_L191_); trivial. % 0.84/1.04 apply (zenon_L195_); trivial. % 0.84/1.04 apply (zenon_L201_); trivial. % 0.84/1.04 (* end of lemma zenon_L202_ *) % 0.84/1.04 assert (zenon_L203_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(hskp10)) -> ((hskp10)\/((hskp12)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> False). % 0.84/1.04 do 0 intro. intros zenon_H174 zenon_H9c zenon_H97 zenon_H131 zenon_H133 zenon_H4e zenon_H3a zenon_H56 zenon_H64 zenon_H19 zenon_H17 zenon_H1de zenon_Hac zenon_Hae zenon_H18e zenon_H1ec zenon_H76 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Ha zenon_H8c zenon_H16d zenon_H173 zenon_H121 zenon_H109 zenon_H105 zenon_H1f zenon_H1b zenon_H1da zenon_H3e zenon_H52 zenon_H104 zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H1d5 zenon_H1d3 zenon_H209 zenon_He0 zenon_H217 zenon_H215 zenon_H1b8 zenon_H1be zenon_H77 zenon_H1 zenon_H207 zenon_H168 zenon_H223 zenon_H172 zenon_H1ef. % 0.84/1.04 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.05 apply (zenon_L202_); trivial. % 0.84/1.05 apply (zenon_L174_); trivial. % 0.84/1.05 (* end of lemma zenon_L203_ *) % 0.84/1.05 assert (zenon_L204_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H71 zenon_H157 zenon_H104 zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H168 zenon_H1b zenon_H1f4 zenon_H1f6 zenon_Hb2 zenon_Hb3 zenon_Hb4 zenon_H190 zenon_H191 zenon_H192 zenon_H5 zenon_He0 zenon_H1d3 zenon_H1d5 zenon_H9e zenon_H9f zenon_Ha0 zenon_H128. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H126 | zenon_intro zenon_H13e ]. % 0.84/1.05 apply (zenon_L77_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Ha. zenon_intro zenon_H13f. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H136. zenon_intro zenon_H140. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.05 apply (zenon_L178_); trivial. % 0.84/1.05 apply (zenon_L108_); trivial. % 0.84/1.05 (* end of lemma zenon_L204_ *) % 0.84/1.05 assert (zenon_L205_ : (forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34)))))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> (c0_1 (a603)) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hcd zenon_Ha zenon_H225 zenon_H226 zenon_H227. % 0.84/1.05 generalize (zenon_Hcd (a603)). zenon_intro zenon_H228. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H228); [ zenon_intro zenon_H9 | zenon_intro zenon_H229 ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22b | zenon_intro zenon_H22a ]. % 0.84/1.05 exact (zenon_H225 zenon_H22b). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 0.84/1.05 exact (zenon_H226 zenon_H22d). % 0.84/1.05 exact (zenon_H22c zenon_H227). % 0.84/1.05 (* end of lemma zenon_L205_ *) % 0.84/1.05 assert (zenon_L206_ : ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c2_1 (a637)) -> (c1_1 (a637)) -> (c0_1 (a637)) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (c0_1 (a631)) -> (c3_1 (a631)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1da zenon_H192 zenon_H191 zenon_H190 zenon_H42 zenon_H41 zenon_H40 zenon_Hd3 zenon_Ha zenon_Hc4 zenon_Hc6. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1db ]. % 0.84/1.05 apply (zenon_L148_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H3f | zenon_intro zenon_H2d ]. % 0.84/1.05 apply (zenon_L18_); trivial. % 0.84/1.05 apply (zenon_L51_); trivial. % 0.84/1.05 (* end of lemma zenon_L206_ *) % 0.84/1.05 assert (zenon_L207_ : ((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp12)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H4d zenon_Hdd zenon_H227 zenon_H226 zenon_H225 zenon_Hc6 zenon_Hc4 zenon_H190 zenon_H191 zenon_H192 zenon_H1da zenon_H5. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ]. % 0.84/1.05 apply (zenon_L205_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H6 ]. % 0.84/1.05 apply (zenon_L206_); trivial. % 0.84/1.05 exact (zenon_H5 zenon_H6). % 0.84/1.05 (* end of lemma zenon_L207_ *) % 0.84/1.05 assert (zenon_L208_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (c0_1 (a631)) -> (c3_1 (a631)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp3)) -> (~(hskp26)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H52 zenon_Hdd zenon_H5 zenon_H190 zenon_H191 zenon_H192 zenon_Hc4 zenon_Hc6 zenon_H1da zenon_H227 zenon_H226 zenon_H225 zenon_H105 zenon_H107 zenon_H109. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.84/1.05 apply (zenon_L69_); trivial. % 0.84/1.05 apply (zenon_L207_); trivial. % 0.84/1.05 (* end of lemma zenon_L208_ *) % 0.84/1.05 assert (zenon_L209_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> (c0_1 (a603)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (~(hskp12)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H173 zenon_H3e zenon_H121 zenon_H7e zenon_H7d zenon_H7c zenon_H1b zenon_H1d zenon_H1f zenon_H109 zenon_H105 zenon_H225 zenon_H226 zenon_H227 zenon_H1da zenon_Hc6 zenon_Hc4 zenon_H192 zenon_H191 zenon_H190 zenon_H5 zenon_Hdd zenon_H52. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.84/1.05 apply (zenon_L208_); trivial. % 0.84/1.05 apply (zenon_L151_); trivial. % 0.84/1.05 (* end of lemma zenon_L209_ *) % 0.84/1.05 assert (zenon_L210_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H87 zenon_H16d zenon_H77 zenon_H104 zenon_H102 zenon_H1d5 zenon_H1d3 zenon_He0 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H1b8 zenon_H52 zenon_Hdd zenon_H5 zenon_H190 zenon_H191 zenon_H192 zenon_H1da zenon_H227 zenon_H226 zenon_H225 zenon_H105 zenon_H109 zenon_H1f zenon_H121 zenon_H3e zenon_H173 zenon_H1b zenon_Hac zenon_Hae. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.05 apply (zenon_L44_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.05 apply (zenon_L209_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.84/1.05 apply (zenon_L208_); trivial. % 0.84/1.05 apply (zenon_L194_); trivial. % 0.84/1.05 (* end of lemma zenon_L210_ *) % 0.84/1.05 assert (zenon_L211_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> (~(hskp10)) -> ((hskp10)\/((hskp12)\/(hskp18))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1ef zenon_H8c zenon_H16d zenon_H77 zenon_H104 zenon_H102 zenon_H1d5 zenon_H1d3 zenon_He0 zenon_H1b8 zenon_H52 zenon_Hdd zenon_H1da zenon_H227 zenon_H226 zenon_H225 zenon_H105 zenon_H109 zenon_H1f zenon_H121 zenon_H3e zenon_H173 zenon_H1b zenon_Hac zenon_Hae zenon_H1 zenon_H207 zenon_Ha zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H1f3. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.05 apply (zenon_L175_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.05 apply (zenon_L182_); trivial. % 0.84/1.05 apply (zenon_L210_); trivial. % 0.84/1.05 (* end of lemma zenon_L211_ *) % 0.84/1.05 assert (zenon_L212_ : ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hdd zenon_H227 zenon_H226 zenon_H225 zenon_Hc6 zenon_Hc4 zenon_H2d zenon_Ha zenon_H5. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ]. % 0.84/1.05 apply (zenon_L205_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H6 ]. % 0.84/1.05 apply (zenon_L51_); trivial. % 0.84/1.05 exact (zenon_H5 zenon_H6). % 0.84/1.05 (* end of lemma zenon_L212_ *) % 0.84/1.05 assert (zenon_L213_ : ((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp1)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (c2_1 (a615)) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (~(hskp12)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H123 zenon_H121 zenon_H1b zenon_H1f6 zenon_H1f4 zenon_He0 zenon_Hb4 zenon_Hb3 zenon_Hb2 zenon_H192 zenon_H191 zenon_H190 zenon_H168 zenon_Hdd zenon_H227 zenon_H226 zenon_H225 zenon_Hc6 zenon_Hc4 zenon_H5. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H118. zenon_intro zenon_H125. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H119. zenon_intro zenon_H11a. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.84/1.05 apply (zenon_L73_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.84/1.05 apply (zenon_L177_); trivial. % 0.84/1.05 apply (zenon_L212_); trivial. % 0.84/1.05 (* end of lemma zenon_L213_ *) % 0.84/1.05 assert (zenon_L214_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> (c0_1 (a603)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1ef zenon_H172 zenon_H16d zenon_H173 zenon_H121 zenon_He0 zenon_H168 zenon_H109 zenon_H105 zenon_H225 zenon_H226 zenon_H227 zenon_H1da zenon_Hdd zenon_H52 zenon_H1b zenon_Hac zenon_Hae zenon_H9e zenon_H9f zenon_Ha0 zenon_Ha9 zenon_Ha zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H1f3. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.05 apply (zenon_L175_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.84/1.05 apply (zenon_L41_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.05 apply (zenon_L44_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.84/1.05 apply (zenon_L208_); trivial. % 0.84/1.05 apply (zenon_L213_); trivial. % 0.84/1.05 (* end of lemma zenon_L214_ *) % 0.84/1.05 assert (zenon_L215_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((hskp10)\/((hskp12)\/(hskp18))) -> (~(hskp10)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> (c0_1 (a603)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H174 zenon_H9c zenon_H97 zenon_H131 zenon_H133 zenon_H4e zenon_H3a zenon_H56 zenon_H64 zenon_H19 zenon_H17 zenon_H1de zenon_H17a zenon_H17b zenon_H17c zenon_H18e zenon_H1ec zenon_H76 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Ha zenon_H207 zenon_H1 zenon_Hae zenon_Hac zenon_H1b zenon_H173 zenon_H3e zenon_H121 zenon_H1f zenon_H109 zenon_H105 zenon_H225 zenon_H226 zenon_H227 zenon_H1da zenon_Hdd zenon_H52 zenon_H1b8 zenon_He0 zenon_H1d3 zenon_H1d5 zenon_H102 zenon_H104 zenon_H77 zenon_H16d zenon_H8c zenon_H1ef. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.05 apply (zenon_L211_); trivial. % 0.84/1.05 apply (zenon_L174_); trivial. % 0.84/1.05 (* end of lemma zenon_L215_ *) % 0.84/1.05 assert (zenon_L216_ : ((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H4d zenon_H22e zenon_H1a0 zenon_H19f zenon_H19e zenon_H192 zenon_H191 zenon_H190. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H22f ]. % 0.84/1.05 apply (zenon_L120_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H3f ]. % 0.84/1.05 apply (zenon_L148_); trivial. % 0.84/1.05 apply (zenon_L18_); trivial. % 0.84/1.05 (* end of lemma zenon_L216_ *) % 0.84/1.05 assert (zenon_L217_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (~(hskp3)) -> (~(hskp26)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H52 zenon_H22e zenon_H192 zenon_H191 zenon_H190 zenon_H1a0 zenon_H19f zenon_H19e zenon_H105 zenon_H107 zenon_H109. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.84/1.05 apply (zenon_L69_); trivial. % 0.84/1.05 apply (zenon_L216_); trivial. % 0.84/1.05 (* end of lemma zenon_L217_ *) % 0.84/1.05 assert (zenon_L218_ : ((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (c0_1 (a631)) -> (c3_1 (a631)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H123 zenon_H121 zenon_H1b8 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_Hc4 zenon_Hc6. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H118. zenon_intro zenon_H125. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H119. zenon_intro zenon_H11a. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.84/1.05 apply (zenon_L73_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.84/1.05 apply (zenon_L119_); trivial. % 0.84/1.05 apply (zenon_L122_); trivial. % 0.84/1.05 (* end of lemma zenon_L218_ *) % 0.84/1.05 assert (zenon_L219_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> (~(hskp5)) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp5)\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H155 zenon_H9c zenon_H97 zenon_H76 zenon_H77 zenon_H72 zenon_H6f zenon_H1 zenon_H52 zenon_H4e zenon_H1f zenon_H1b zenon_H3a zenon_H3e zenon_H56 zenon_H64 zenon_H17 zenon_H19 zenon_H85 zenon_H88 zenon_H8c. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.05 apply (zenon_L38_); trivial. % 0.84/1.05 (* end of lemma zenon_L219_ *) % 0.84/1.05 assert (zenon_L220_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H230 zenon_Ha zenon_H231 zenon_H232 zenon_H233. % 0.84/1.05 generalize (zenon_H230 (a598)). zenon_intro zenon_H234. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H234); [ zenon_intro zenon_H9 | zenon_intro zenon_H235 ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H237 | zenon_intro zenon_H236 ]. % 0.84/1.05 exact (zenon_H231 zenon_H237). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H239 | zenon_intro zenon_H238 ]. % 0.84/1.05 exact (zenon_H232 zenon_H239). % 0.84/1.05 exact (zenon_H233 zenon_H238). % 0.84/1.05 (* end of lemma zenon_L220_ *) % 0.84/1.05 assert (zenon_L221_ : (~(hskp0)) -> (hskp0) -> False). % 0.84/1.05 do 0 intro. intros zenon_H23a zenon_H23b. % 0.84/1.05 exact (zenon_H23a zenon_H23b). % 0.84/1.05 (* end of lemma zenon_L221_ *) % 0.84/1.05 assert (zenon_L222_ : ((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp0)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H170 zenon_H23c zenon_H233 zenon_H232 zenon_H231 zenon_H23a. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H230 | zenon_intro zenon_H23d ]. % 0.84/1.05 apply (zenon_L220_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H9d | zenon_intro zenon_H23b ]. % 0.84/1.05 apply (zenon_L39_); trivial. % 0.84/1.05 exact (zenon_H23a zenon_H23b). % 0.84/1.05 (* end of lemma zenon_L222_ *) % 0.84/1.05 assert (zenon_L223_ : ((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp10)\/(hskp5))) -> (~(hskp5)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp28)\/(hskp2))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1bf zenon_H1c3 zenon_H23c zenon_H23a zenon_H233 zenon_H232 zenon_H231 zenon_H104 zenon_H18b zenon_H6f zenon_H102 zenon_H1f zenon_H1b zenon_Hd9 zenon_Hdb zenon_H3e zenon_H72 zenon_H77. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_Ha. zenon_intro zenon_H1c0. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H17b. zenon_intro zenon_H1c1. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.84/1.05 apply (zenon_L105_); trivial. % 0.84/1.05 apply (zenon_L222_); trivial. % 0.84/1.05 (* end of lemma zenon_L223_ *) % 0.84/1.05 assert (zenon_L224_ : (~(hskp15)) -> (hskp15) -> False). % 0.84/1.05 do 0 intro. intros zenon_H23e zenon_H23f. % 0.84/1.05 exact (zenon_H23e zenon_H23f). % 0.84/1.05 (* end of lemma zenon_L224_ *) % 0.84/1.05 assert (zenon_L225_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp16)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H240 zenon_H1a0 zenon_H19f zenon_H19e zenon_Ha zenon_H23e zenon_H4b. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H241 ]. % 0.84/1.05 apply (zenon_L120_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H23f | zenon_intro zenon_H4c ]. % 0.84/1.05 exact (zenon_H23e zenon_H23f). % 0.84/1.05 exact (zenon_H4b zenon_H4c). % 0.84/1.05 (* end of lemma zenon_L225_ *) % 0.84/1.05 assert (zenon_L226_ : ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp6)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H242 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_H49 zenon_H85. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H65 | zenon_intro zenon_H243 ]. % 0.84/1.05 apply (zenon_L26_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H4a | zenon_intro zenon_H86 ]. % 0.84/1.05 exact (zenon_H49 zenon_H4a). % 0.84/1.05 exact (zenon_H85 zenon_H86). % 0.84/1.05 (* end of lemma zenon_L226_ *) % 0.84/1.05 assert (zenon_L227_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> (~(hskp6)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H71 zenon_H64 zenon_H56 zenon_H53 zenon_He zenon_Hd zenon_Hc zenon_H85 zenon_H242. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.84/1.05 apply (zenon_L226_); trivial. % 0.84/1.05 apply (zenon_L24_); trivial. % 0.84/1.05 (* end of lemma zenon_L227_ *) % 0.84/1.05 assert (zenon_L228_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp6)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a620))) -> (~(c2_1 (a620))) -> (c1_1 (a620)) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H77 zenon_H64 zenon_H56 zenon_H53 zenon_H85 zenon_H242 zenon_H1f zenon_H1b zenon_H8e zenon_H8f zenon_H90 zenon_Hc zenon_Hd zenon_He zenon_H97 zenon_H3e. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.05 apply (zenon_L36_); trivial. % 0.84/1.05 apply (zenon_L227_); trivial. % 0.84/1.05 (* end of lemma zenon_L228_ *) % 0.84/1.05 assert (zenon_L229_ : (forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (c1_1 (a618)) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c0_1 (a618)) -> (c3_1 (a618)) -> False). % 0.84/1.05 do 0 intro. intros zenon_He3 zenon_Ha zenon_H5b zenon_Hd3 zenon_H59 zenon_H5a. % 0.84/1.05 generalize (zenon_He3 (a618)). zenon_intro zenon_H244. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H244); [ zenon_intro zenon_H9 | zenon_intro zenon_H245 ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H63 | zenon_intro zenon_H246 ]. % 0.84/1.05 exact (zenon_H63 zenon_H5b). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H247 | zenon_intro zenon_H62 ]. % 0.84/1.05 generalize (zenon_Hd3 (a618)). zenon_intro zenon_H248. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H248); [ zenon_intro zenon_H9 | zenon_intro zenon_H249 ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H24b | zenon_intro zenon_H24a ]. % 0.84/1.05 exact (zenon_H247 zenon_H24b). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ]. % 0.84/1.05 exact (zenon_H61 zenon_H59). % 0.84/1.05 exact (zenon_H62 zenon_H5a). % 0.84/1.05 exact (zenon_H62 zenon_H5a). % 0.84/1.05 (* end of lemma zenon_L229_ *) % 0.84/1.05 assert (zenon_L230_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (c3_1 (a618)) -> (c0_1 (a618)) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c1_1 (a618)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_H5a zenon_H59 zenon_Hd3 zenon_H5b zenon_Ha zenon_H1. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H8d | zenon_intro zenon_H224 ]. % 0.84/1.05 apply (zenon_L121_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 0.84/1.05 apply (zenon_L229_); trivial. % 0.84/1.05 exact (zenon_H1 zenon_H2). % 0.84/1.05 (* end of lemma zenon_L230_ *) % 0.84/1.05 assert (zenon_L231_ : ((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (~(hskp10)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H55 zenon_H1b8 zenon_H7e zenon_H7d zenon_H7c zenon_H1a0 zenon_H19f zenon_H19e zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_H1. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.05 apply (zenon_L30_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.05 apply (zenon_L120_); trivial. % 0.84/1.05 apply (zenon_L230_); trivial. % 0.84/1.05 (* end of lemma zenon_L231_ *) % 0.84/1.05 assert (zenon_L232_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(hskp6)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H71 zenon_H64 zenon_H1b8 zenon_H1 zenon_H223 zenon_H1a0 zenon_H19f zenon_H19e zenon_H7e zenon_H7d zenon_H7c zenon_H85 zenon_H242. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.84/1.05 apply (zenon_L226_); trivial. % 0.84/1.05 apply (zenon_L231_); trivial. % 0.84/1.05 (* end of lemma zenon_L232_ *) % 0.84/1.05 assert (zenon_L233_ : (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47)))))) -> (ndr1_0) -> (~(c1_1 (a619))) -> (~(c3_1 (a619))) -> (c0_1 (a619)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H141 zenon_Ha zenon_H24c zenon_H24d zenon_H24e. % 0.84/1.05 generalize (zenon_H141 (a619)). zenon_intro zenon_H24f. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H24f); [ zenon_intro zenon_H9 | zenon_intro zenon_H250 ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H252 | zenon_intro zenon_H251 ]. % 0.84/1.05 exact (zenon_H24c zenon_H252). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H254 | zenon_intro zenon_H253 ]. % 0.84/1.05 exact (zenon_H24d zenon_H254). % 0.84/1.05 exact (zenon_H253 zenon_H24e). % 0.84/1.05 (* end of lemma zenon_L233_ *) % 0.84/1.05 assert (zenon_L234_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (c0_1 (a619)) -> (~(c3_1 (a619))) -> (~(c1_1 (a619))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H14d zenon_He zenon_Hd zenon_H9d zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H14a. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.84/1.05 apply (zenon_L79_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.84/1.05 apply (zenon_L233_); trivial. % 0.84/1.05 exact (zenon_H14a zenon_H14b). % 0.84/1.05 (* end of lemma zenon_L234_ *) % 0.84/1.05 assert (zenon_L235_ : ((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(hskp11)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H255 zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H19f zenon_H1a0 zenon_H19e zenon_H102 zenon_H14d zenon_He zenon_Hd zenon_H14a. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Ha. zenon_intro zenon_H257. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H24e. zenon_intro zenon_H258. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.84/1.05 apply (zenon_L220_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.84/1.05 apply (zenon_L119_); trivial. % 0.84/1.05 apply (zenon_L234_); trivial. % 0.84/1.05 (* end of lemma zenon_L235_ *) % 0.84/1.05 assert (zenon_L236_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (~(hskp6)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H155 zenon_H25a zenon_H256 zenon_H14a zenon_H14d zenon_H102 zenon_H233 zenon_H232 zenon_H231 zenon_H240 zenon_H1a0 zenon_H19f zenon_H19e zenon_H77 zenon_H64 zenon_H56 zenon_H85 zenon_H242 zenon_H1f zenon_H1b zenon_H97 zenon_H3e zenon_H223 zenon_H1 zenon_H1b8 zenon_H8c zenon_H9c. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.84/1.05 apply (zenon_L225_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.05 apply (zenon_L228_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.05 apply (zenon_L36_); trivial. % 0.84/1.05 apply (zenon_L232_); trivial. % 0.84/1.05 apply (zenon_L235_); trivial. % 0.84/1.05 (* end of lemma zenon_L236_ *) % 0.84/1.05 assert (zenon_L237_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(c1_1 (a609))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H117 zenon_Ha zenon_H9d zenon_Hd zenon_He zenon_Hc. % 0.84/1.05 generalize (zenon_H117 (a609)). zenon_intro zenon_H25b. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H25b); [ zenon_intro zenon_H9 | zenon_intro zenon_H25c ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H129 | zenon_intro zenon_H25d ]. % 0.84/1.05 apply (zenon_L78_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H12 | zenon_intro zenon_H14 ]. % 0.84/1.05 exact (zenon_Hc zenon_H12). % 0.84/1.05 exact (zenon_Hd zenon_H14). % 0.84/1.05 (* end of lemma zenon_L237_ *) % 0.84/1.05 assert (zenon_L238_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a609))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (ndr1_0) -> (c0_1 (a672)) -> (c2_1 (a672)) -> (c3_1 (a672)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H121 zenon_Hc zenon_He zenon_Hd zenon_H9d zenon_H19f zenon_H1a0 zenon_H19e zenon_H102 zenon_Ha zenon_H2e zenon_H2f zenon_H30. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.84/1.05 apply (zenon_L237_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.84/1.05 apply (zenon_L119_); trivial. % 0.84/1.05 apply (zenon_L14_); trivial. % 0.84/1.05 (* end of lemma zenon_L238_ *) % 0.84/1.05 assert (zenon_L239_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(c1_1 (a609))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H3e zenon_H256 zenon_Hd zenon_He zenon_Hc zenon_H121 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1d zenon_H1f. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.05 apply (zenon_L12_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.84/1.05 apply (zenon_L220_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.84/1.05 apply (zenon_L119_); trivial. % 0.84/1.05 apply (zenon_L238_); trivial. % 0.84/1.05 (* end of lemma zenon_L239_ *) % 0.84/1.05 assert (zenon_L240_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1d3 zenon_H15d zenon_H15c zenon_H15b zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d4 ]. % 0.84/1.05 apply (zenon_L95_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hd8 ]. % 0.84/1.05 apply (zenon_L26_); trivial. % 0.84/1.05 exact (zenon_Hd7 zenon_Hd8). % 0.84/1.05 (* end of lemma zenon_L240_ *) % 0.84/1.05 assert (zenon_L241_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp18)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H71 zenon_H104 zenon_H97 zenon_H102 zenon_Hc zenon_Hd zenon_He zenon_H53 zenon_H56 zenon_H15b zenon_H15c zenon_H15d zenon_H1d3. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.05 apply (zenon_L240_); trivial. % 0.84/1.05 apply (zenon_L165_); trivial. % 0.84/1.05 (* end of lemma zenon_L241_ *) % 0.84/1.05 assert (zenon_L242_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp18)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a609))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H77 zenon_H104 zenon_H97 zenon_H53 zenon_H56 zenon_H15b zenon_H15c zenon_H15d zenon_H1d3 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H121 zenon_Hc zenon_He zenon_Hd zenon_H256 zenon_H3e. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.05 apply (zenon_L239_); trivial. % 0.84/1.05 apply (zenon_L241_); trivial. % 0.84/1.05 (* end of lemma zenon_L242_ *) % 0.84/1.05 assert (zenon_L243_ : ((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(hskp10)) -> (~(hskp9)) -> ((hskp10)\/((hskp9)\/(hskp12))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H16c zenon_H174 zenon_H8c zenon_H88 zenon_H85 zenon_H6f zenon_H3e zenon_H256 zenon_H121 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1f zenon_H1d3 zenon_H56 zenon_H97 zenon_H104 zenon_H77 zenon_H1 zenon_H3 zenon_H7. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.05 apply (zenon_L4_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.05 apply (zenon_L242_); trivial. % 0.84/1.05 apply (zenon_L32_); trivial. % 0.84/1.05 (* end of lemma zenon_L243_ *) % 0.84/1.05 assert (zenon_L244_ : ((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H170 zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H19f zenon_H1a0 zenon_H19e zenon_H102. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.84/1.05 apply (zenon_L220_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.84/1.05 apply (zenon_L119_); trivial. % 0.84/1.05 apply (zenon_L39_); trivial. % 0.84/1.05 (* end of lemma zenon_L244_ *) % 0.84/1.05 assert (zenon_L245_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a600))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H164 zenon_Ha zenon_H1c4 zenon_H230 zenon_H25e zenon_H1c5. % 0.84/1.05 generalize (zenon_H164 (a600)). zenon_intro zenon_H1c6. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H1c6); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c7 ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1c8 ]. % 0.84/1.05 exact (zenon_H1c4 zenon_H1c9). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1ca ]. % 0.84/1.05 generalize (zenon_H230 (a600)). zenon_intro zenon_H25f. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H25f); [ zenon_intro zenon_H9 | zenon_intro zenon_H260 ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H1cf | zenon_intro zenon_H261 ]. % 0.84/1.05 exact (zenon_H1cb zenon_H1cf). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H262 ]. % 0.84/1.05 exact (zenon_H1c4 zenon_H1c9). % 0.84/1.05 exact (zenon_H25e zenon_H262). % 0.84/1.05 exact (zenon_H1ca zenon_H1c5). % 0.84/1.05 (* end of lemma zenon_L245_ *) % 0.84/1.05 assert (zenon_L246_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a600))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1de zenon_H1c5 zenon_H25e zenon_H230 zenon_H1c4 zenon_H26 zenon_H25 zenon_H24 zenon_Ha zenon_H1dc. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H164 | zenon_intro zenon_H1df ]. % 0.84/1.05 apply (zenon_L245_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H23 | zenon_intro zenon_H1dd ]. % 0.84/1.05 apply (zenon_L13_); trivial. % 0.84/1.05 exact (zenon_H1dc zenon_H1dd). % 0.84/1.05 (* end of lemma zenon_L246_ *) % 0.84/1.05 assert (zenon_L247_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a600)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a600))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1de zenon_H1c5 zenon_H7b zenon_H1c4 zenon_H26 zenon_H25 zenon_H24 zenon_Ha zenon_H1dc. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H164 | zenon_intro zenon_H1df ]. % 0.84/1.05 apply (zenon_L141_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H23 | zenon_intro zenon_H1dd ]. % 0.84/1.05 apply (zenon_L13_); trivial. % 0.84/1.05 exact (zenon_H1dc zenon_H1dd). % 0.84/1.05 (* end of lemma zenon_L247_ *) % 0.84/1.05 assert (zenon_L248_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c0_1 (a618)) -> (c3_1 (a618)) -> False). % 0.84/1.05 do 0 intro. intros zenon_Hd3 zenon_Ha zenon_H2d zenon_H59 zenon_H5a. % 0.84/1.05 generalize (zenon_Hd3 (a618)). zenon_intro zenon_H248. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H248); [ zenon_intro zenon_H9 | zenon_intro zenon_H249 ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H24b | zenon_intro zenon_H24a ]. % 0.84/1.05 generalize (zenon_H2d (a618)). zenon_intro zenon_H263. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H263); [ zenon_intro zenon_H9 | zenon_intro zenon_H264 ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H61 | zenon_intro zenon_H246 ]. % 0.84/1.05 exact (zenon_H61 zenon_H59). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H247 | zenon_intro zenon_H62 ]. % 0.84/1.05 exact (zenon_H247 zenon_H24b). % 0.84/1.05 exact (zenon_H62 zenon_H5a). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ]. % 0.84/1.05 exact (zenon_H61 zenon_H59). % 0.84/1.05 exact (zenon_H62 zenon_H5a). % 0.84/1.05 (* end of lemma zenon_L248_ *) % 0.84/1.05 assert (zenon_L249_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a609))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (c0_1 (a618)) -> (c3_1 (a618)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H121 zenon_Hc zenon_He zenon_Hd zenon_H9d zenon_H7e zenon_H7d zenon_H7c zenon_Hd3 zenon_Ha zenon_H59 zenon_H5a. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.84/1.05 apply (zenon_L237_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.84/1.05 apply (zenon_L30_); trivial. % 0.84/1.05 apply (zenon_L248_); trivial. % 0.84/1.05 (* end of lemma zenon_L249_ *) % 0.84/1.05 assert (zenon_L250_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(c1_1 (a609))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> (~(hskp20)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H64 zenon_H256 zenon_H121 zenon_H7e zenon_H7d zenon_H7c zenon_Hc zenon_He zenon_Hd zenon_H265 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1dc zenon_H1de zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H1b zenon_H1d zenon_H1f zenon_H4b zenon_H4e zenon_H52. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.84/1.05 apply (zenon_L22_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.84/1.05 apply (zenon_L246_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.84/1.05 apply (zenon_L247_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.84/1.05 apply (zenon_L246_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.84/1.05 apply (zenon_L13_); trivial. % 0.84/1.05 apply (zenon_L249_); trivial. % 0.84/1.05 (* end of lemma zenon_L250_ *) % 0.84/1.05 assert (zenon_L251_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> (~(hskp5)) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(c1_1 (a609))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H77 zenon_H72 zenon_H6f zenon_H1 zenon_H52 zenon_H4e zenon_H4b zenon_H1f zenon_H1b zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e zenon_H1de zenon_H1dc zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H265 zenon_Hd zenon_He zenon_Hc zenon_H7c zenon_H7d zenon_H7e zenon_H121 zenon_H256 zenon_H64. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.05 apply (zenon_L250_); trivial. % 0.84/1.05 apply (zenon_L28_); trivial. % 0.84/1.05 (* end of lemma zenon_L251_ *) % 0.84/1.05 assert (zenon_L252_ : ((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1e9 zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H26 zenon_H25 zenon_H24. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_Ha. zenon_intro zenon_H1ea. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.84/1.05 apply (zenon_L220_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.84/1.05 apply (zenon_L13_); trivial. % 0.84/1.05 apply (zenon_L160_); trivial. % 0.84/1.05 (* end of lemma zenon_L252_ *) % 0.84/1.05 assert (zenon_L253_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> (~(hskp10)) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H87 zenon_H76 zenon_H1ec zenon_H233 zenon_H232 zenon_H231 zenon_H64 zenon_H256 zenon_H121 zenon_H265 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1de zenon_H3e zenon_H3a zenon_H1b zenon_H1f zenon_H4b zenon_H4e zenon_H52 zenon_H1 zenon_H6f zenon_H72 zenon_H77 zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.84/1.05 apply (zenon_L9_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.84/1.05 apply (zenon_L251_); trivial. % 0.84/1.05 apply (zenon_L252_); trivial. % 0.84/1.05 (* end of lemma zenon_L253_ *) % 0.84/1.05 assert (zenon_L254_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> (~(hskp5)) -> (~(hskp10)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H155 zenon_H9c zenon_H97 zenon_H76 zenon_H77 zenon_H72 zenon_H6f zenon_H1 zenon_H52 zenon_H4e zenon_H1f zenon_H1b zenon_H3a zenon_H3e zenon_H56 zenon_H64 zenon_H17 zenon_H19 zenon_H1de zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H265 zenon_H121 zenon_H256 zenon_H231 zenon_H232 zenon_H233 zenon_H1ec zenon_H8c. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.05 apply (zenon_L29_); trivial. % 0.84/1.05 apply (zenon_L253_); trivial. % 0.84/1.05 apply (zenon_L37_); trivial. % 0.84/1.05 (* end of lemma zenon_L254_ *) % 0.84/1.05 assert (zenon_L255_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp10)\/((hskp9)\/(hskp12))) -> (~(hskp9)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1c3 zenon_H23c zenon_H23a zenon_H7 zenon_H3 zenon_H8c zenon_H1ec zenon_H233 zenon_H232 zenon_H231 zenon_H256 zenon_H121 zenon_H265 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1de zenon_H19 zenon_H17 zenon_H64 zenon_H56 zenon_H3e zenon_H3a zenon_H1b zenon_H1f zenon_H4e zenon_H52 zenon_H6f zenon_H72 zenon_H77 zenon_H76 zenon_H97 zenon_H9c zenon_H174. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.05 apply (zenon_L4_); trivial. % 0.84/1.05 apply (zenon_L254_); trivial. % 0.84/1.05 apply (zenon_L222_); trivial. % 0.84/1.05 (* end of lemma zenon_L255_ *) % 0.84/1.05 assert (zenon_L256_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_Hd3 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1ba zenon_Ha zenon_H1. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H8d | zenon_intro zenon_H224 ]. % 0.84/1.05 apply (zenon_L121_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 0.84/1.05 apply (zenon_L130_); trivial. % 0.84/1.05 exact (zenon_H1 zenon_H2). % 0.84/1.05 (* end of lemma zenon_L256_ *) % 0.84/1.05 assert (zenon_L257_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1b8 zenon_H102 zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1ba zenon_Ha zenon_H1. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.05 apply (zenon_L119_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.05 apply (zenon_L120_); trivial. % 0.84/1.05 apply (zenon_L256_); trivial. % 0.84/1.05 (* end of lemma zenon_L257_ *) % 0.84/1.05 assert (zenon_L258_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a600)) -> (~(c1_1 (a600))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp8)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1b8 zenon_H1c5 zenon_H1c4 zenon_H164 zenon_H1a0 zenon_H19f zenon_H19e zenon_H217 zenon_H67 zenon_H68 zenon_H66 zenon_Ha zenon_Ha7 zenon_H215. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.05 apply (zenon_L141_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.05 apply (zenon_L120_); trivial. % 0.84/1.05 apply (zenon_L188_); trivial. % 0.84/1.05 (* end of lemma zenon_L258_ *) % 0.84/1.05 assert (zenon_L259_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c1_1 (a600))) -> (c3_1 (a600)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp1)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H71 zenon_H1be zenon_H1 zenon_H223 zenon_H102 zenon_H215 zenon_Ha7 zenon_H217 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1c4 zenon_H1c5 zenon_H1b8 zenon_H1b. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.05 apply (zenon_L257_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.05 apply (zenon_L258_); trivial. % 0.84/1.05 exact (zenon_H1b zenon_H1c). % 0.84/1.05 (* end of lemma zenon_L259_ *) % 0.84/1.05 assert (zenon_L260_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c3_1 (a615)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H164 zenon_Ha zenon_Hb2 zenon_Hb3 zenon_H267. % 0.84/1.05 generalize (zenon_H164 (a615)). zenon_intro zenon_H268. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_H9 | zenon_intro zenon_H269 ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H26a ]. % 0.84/1.05 exact (zenon_Hb2 zenon_Hb8). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_Hba | zenon_intro zenon_H26b ]. % 0.84/1.05 exact (zenon_Hba zenon_Hb3). % 0.84/1.05 exact (zenon_H26b zenon_H267). % 0.84/1.05 (* end of lemma zenon_L260_ *) % 0.84/1.05 assert (zenon_L261_ : (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H9d zenon_Ha zenon_H164 zenon_Hb2 zenon_Hb3 zenon_Hb4. % 0.84/1.05 generalize (zenon_H9d (a615)). zenon_intro zenon_H26c. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H26c); [ zenon_intro zenon_H9 | zenon_intro zenon_H26d ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H267 | zenon_intro zenon_Hb7 ]. % 0.84/1.05 apply (zenon_L260_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hba | zenon_intro zenon_Hb9 ]. % 0.84/1.05 exact (zenon_Hba zenon_Hb3). % 0.84/1.05 exact (zenon_Hb9 zenon_Hb4). % 0.84/1.05 (* end of lemma zenon_L261_ *) % 0.84/1.05 assert (zenon_L262_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a615)) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> (~(hskp1)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H71 zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H1be zenon_H1 zenon_H19e zenon_H19f zenon_H1a0 zenon_H223 zenon_H102 zenon_H1b8 zenon_Hb4 zenon_Hb3 zenon_Hb2 zenon_H1b. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.84/1.05 apply (zenon_L220_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.84/1.05 apply (zenon_L119_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.05 apply (zenon_L257_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.05 apply (zenon_L261_); trivial. % 0.84/1.05 exact (zenon_H1b zenon_H1c). % 0.84/1.05 (* end of lemma zenon_L262_ *) % 0.84/1.05 assert (zenon_L263_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a609))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H177 zenon_H77 zenon_H1b8 zenon_H1 zenon_H223 zenon_H1be zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H121 zenon_Hc zenon_He zenon_Hd zenon_H256 zenon_H3e. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.05 apply (zenon_L239_); trivial. % 0.84/1.05 apply (zenon_L262_); trivial. % 0.84/1.05 (* end of lemma zenon_L263_ *) % 0.84/1.05 assert (zenon_L264_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (c3_1 (a600)) -> (~(c1_1 (a600))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H155 zenon_H172 zenon_H3e zenon_H256 zenon_H121 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1f zenon_H1b8 zenon_H1 zenon_H223 zenon_H215 zenon_H217 zenon_H1c5 zenon_H1c4 zenon_H1be zenon_H77. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.05 apply (zenon_L239_); trivial. % 0.84/1.05 apply (zenon_L259_); trivial. % 0.84/1.05 apply (zenon_L263_); trivial. % 0.84/1.05 (* end of lemma zenon_L264_ *) % 0.84/1.05 assert (zenon_L265_ : ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp12)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1f3 zenon_H19f zenon_H1a0 zenon_H19e zenon_Hfe zenon_Ha zenon_H18c zenon_H5. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ]. % 0.84/1.05 generalize (zenon_H1f8 (a602)). zenon_intro zenon_H26e. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H26e); [ zenon_intro zenon_H9 | zenon_intro zenon_H26f ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b1 ]. % 0.84/1.05 generalize (zenon_Hfe (a602)). zenon_intro zenon_H1ac. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H1ac); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ad ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1ae ]. % 0.84/1.05 exact (zenon_H19e zenon_H1a4). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1a5 ]. % 0.84/1.05 exact (zenon_H1ab zenon_H1a6). % 0.84/1.05 exact (zenon_H1a5 zenon_H1a0). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1a5 ]. % 0.84/1.05 exact (zenon_H1aa zenon_H19f). % 0.84/1.05 exact (zenon_H1a5 zenon_H1a0). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H18d | zenon_intro zenon_H6 ]. % 0.84/1.05 exact (zenon_H18c zenon_H18d). % 0.84/1.05 exact (zenon_H5 zenon_H6). % 0.84/1.05 (* end of lemma zenon_L265_ *) % 0.84/1.05 assert (zenon_L266_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (~(hskp13)) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H3e zenon_H1be zenon_H1f3 zenon_H5 zenon_H18c zenon_H17a zenon_H17b zenon_H17c zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H1b zenon_H1d zenon_H1f. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.05 apply (zenon_L12_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.05 apply (zenon_L131_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.05 apply (zenon_L102_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.05 apply (zenon_L265_); trivial. % 0.84/1.05 apply (zenon_L197_); trivial. % 0.84/1.05 exact (zenon_H1b zenon_H1c). % 0.84/1.05 (* end of lemma zenon_L266_ *) % 0.84/1.05 assert (zenon_L267_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> (~(hskp5)) -> (~(hskp10)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H77 zenon_H72 zenon_H6f zenon_H1 zenon_H1f zenon_H1b zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H17c zenon_H17b zenon_H17a zenon_H18c zenon_H5 zenon_H1f3 zenon_H1be zenon_H3e. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.05 apply (zenon_L266_); trivial. % 0.84/1.05 apply (zenon_L28_); trivial. % 0.84/1.05 (* end of lemma zenon_L267_ *) % 0.84/1.05 assert (zenon_L268_ : ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (~(c0_1 (a602))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp8)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H217 zenon_H1a0 zenon_H19f zenon_H1ba zenon_H19e zenon_Ha zenon_Ha7 zenon_H215. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hfe | zenon_intro zenon_H218 ]. % 0.84/1.05 apply (zenon_L129_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H216 ]. % 0.84/1.05 exact (zenon_Ha7 zenon_Ha8). % 0.84/1.05 exact (zenon_H215 zenon_H216). % 0.84/1.05 (* end of lemma zenon_L268_ *) % 0.84/1.05 assert (zenon_L269_ : (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (c0_1 (a672)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a672)) -> (c2_1 (a672)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H3f zenon_Ha zenon_H2e zenon_H164 zenon_H30 zenon_H2f. % 0.84/1.05 generalize (zenon_H3f (a672)). zenon_intro zenon_H270. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H270); [ zenon_intro zenon_H9 | zenon_intro zenon_H271 ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H34 | zenon_intro zenon_H272 ]. % 0.84/1.05 exact (zenon_H34 zenon_H2e). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H222 | zenon_intro zenon_H36 ]. % 0.84/1.05 generalize (zenon_H164 (a672)). zenon_intro zenon_H21c. % 0.84/1.05 apply (zenon_imply_s _ _ zenon_H21c); [ zenon_intro zenon_H9 | zenon_intro zenon_H21d ]. % 0.84/1.05 exact (zenon_H9 zenon_Ha). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H21f | zenon_intro zenon_H21e ]. % 0.84/1.05 exact (zenon_H222 zenon_H21f). % 0.84/1.05 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H34 | zenon_intro zenon_H35 ]. % 0.84/1.05 exact (zenon_H34 zenon_H2e). % 0.84/1.05 exact (zenon_H35 zenon_H30). % 0.84/1.05 exact (zenon_H36 zenon_H2f). % 0.84/1.05 (* end of lemma zenon_L269_ *) % 0.84/1.05 assert (zenon_L270_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (ndr1_0) -> (c0_1 (a672)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a672)) -> (c2_1 (a672)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H22e zenon_H1a0 zenon_H19f zenon_H19e zenon_H192 zenon_H191 zenon_H190 zenon_Ha zenon_H2e zenon_H164 zenon_H30 zenon_H2f. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H22f ]. % 0.84/1.05 apply (zenon_L120_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H3f ]. % 0.84/1.05 apply (zenon_L148_); trivial. % 0.84/1.05 apply (zenon_L269_); trivial. % 0.84/1.05 (* end of lemma zenon_L270_ *) % 0.84/1.05 assert (zenon_L271_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H223 zenon_H192 zenon_H190 zenon_H191 zenon_H1d0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1ba zenon_Ha zenon_H1. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H8d | zenon_intro zenon_H224 ]. % 0.84/1.05 apply (zenon_L196_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 0.84/1.05 apply (zenon_L130_); trivial. % 0.84/1.05 exact (zenon_H1 zenon_H2). % 0.84/1.05 (* end of lemma zenon_L271_ *) % 0.84/1.05 assert (zenon_L272_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp12)) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1d5 zenon_H102 zenon_H5 zenon_Hb2 zenon_Hb3 zenon_Hb4 zenon_He0 zenon_H223 zenon_H192 zenon_H190 zenon_H191 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1ba zenon_Ha zenon_H1. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.05 apply (zenon_L119_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.05 apply (zenon_L112_); trivial. % 0.84/1.05 apply (zenon_L271_); trivial. % 0.84/1.05 (* end of lemma zenon_L272_ *) % 0.84/1.05 assert (zenon_L273_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp10)) -> (~(hskp12)) -> ((hskp10)\/((hskp12)\/(hskp18))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H177 zenon_H8c zenon_H256 zenon_H1d5 zenon_H223 zenon_H190 zenon_H191 zenon_H192 zenon_He0 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H1b zenon_H1be zenon_H233 zenon_H232 zenon_H231 zenon_H1 zenon_H5 zenon_H207. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.05 apply (zenon_L182_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.84/1.05 apply (zenon_L220_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.84/1.05 apply (zenon_L30_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.05 apply (zenon_L272_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.05 apply (zenon_L261_); trivial. % 0.84/1.05 exact (zenon_H1b zenon_H1c). % 0.84/1.05 (* end of lemma zenon_L273_ *) % 0.84/1.05 assert (zenon_L274_ : ((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp12)) -> ((hskp10)\/((hskp12)\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a600)) -> (~(c1_1 (a600))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H1f0 zenon_H172 zenon_H8c zenon_H256 zenon_H1d5 zenon_He0 zenon_H233 zenon_H232 zenon_H231 zenon_H5 zenon_H207 zenon_H3e zenon_H1be zenon_H22e zenon_H19e zenon_H19f zenon_H1a0 zenon_H215 zenon_H217 zenon_H1b zenon_H1f zenon_H1b8 zenon_H1 zenon_H223 zenon_H102 zenon_H1c5 zenon_H1c4 zenon_H77. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.05 apply (zenon_L12_); trivial. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.05 apply (zenon_L268_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.05 apply (zenon_L270_); trivial. % 0.84/1.05 exact (zenon_H1b zenon_H1c). % 0.84/1.05 apply (zenon_L259_); trivial. % 0.84/1.05 apply (zenon_L273_); trivial. % 0.84/1.05 (* end of lemma zenon_L274_ *) % 0.84/1.05 assert (zenon_L275_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H223 zenon_H90 zenon_H8f zenon_H8e zenon_H1a0 zenon_H19f zenon_H19e zenon_H1ba zenon_Ha zenon_H1. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H8d | zenon_intro zenon_H224 ]. % 0.84/1.05 apply (zenon_L34_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 0.84/1.05 apply (zenon_L130_); trivial. % 0.84/1.05 exact (zenon_H1 zenon_H2). % 0.84/1.05 (* end of lemma zenon_L275_ *) % 0.84/1.05 assert (zenon_L276_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a620))) -> (~(c2_1 (a620))) -> (c1_1 (a620)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c1_1 (a600))) -> (c3_1 (a600)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp1)) -> False). % 0.84/1.05 do 0 intro. intros zenon_H71 zenon_H1be zenon_H1 zenon_H8e zenon_H8f zenon_H90 zenon_H223 zenon_H215 zenon_Ha7 zenon_H217 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1c4 zenon_H1c5 zenon_H1b8 zenon_H1b. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.05 apply (zenon_L275_); trivial. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.05 apply (zenon_L258_); trivial. % 0.84/1.05 exact (zenon_H1b zenon_H1c). % 0.84/1.05 (* end of lemma zenon_L276_ *) % 0.84/1.05 assert (zenon_L277_ : ((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c1_1 (a600))) -> (c3_1 (a600)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.84/1.05 do 0 intro. intros zenon_H99 zenon_H77 zenon_H1be zenon_H1c4 zenon_H1c5 zenon_H217 zenon_H215 zenon_Ha7 zenon_H1b8 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1 zenon_H223 zenon_H1f zenon_H1b zenon_Hc zenon_Hd zenon_He zenon_H97 zenon_H3e. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.84/1.05 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.84/1.05 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.05 apply (zenon_L36_); trivial. % 0.84/1.05 apply (zenon_L276_); trivial. % 0.84/1.05 (* end of lemma zenon_L277_ *) % 0.84/1.05 assert (zenon_L278_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c1_1 (a600))) -> (c3_1 (a600)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H155 zenon_H172 zenon_H121 zenon_H9c zenon_H77 zenon_H1be zenon_H1c4 zenon_H1c5 zenon_H217 zenon_H215 zenon_H1b8 zenon_H1 zenon_H223 zenon_H1f zenon_H1b zenon_H97 zenon_H3e zenon_H19e zenon_H19f zenon_H1a0 zenon_H240 zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H14d zenon_H14a zenon_H256 zenon_H25a. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.84/1.06 apply (zenon_L225_); trivial. % 0.84/1.06 apply (zenon_L277_); trivial. % 0.84/1.06 apply (zenon_L235_); trivial. % 0.84/1.06 apply (zenon_L263_); trivial. % 0.84/1.06 (* end of lemma zenon_L278_ *) % 0.84/1.06 assert (zenon_L279_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (~(hskp13)) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H3e zenon_H168 zenon_H1f3 zenon_H5 zenon_H18c zenon_H19f zenon_H1a0 zenon_H19e zenon_Ha7 zenon_H273 zenon_H15d zenon_H15c zenon_H15b zenon_H1b zenon_H1d zenon_H1f. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.06 apply (zenon_L12_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.84/1.06 apply (zenon_L95_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Hfe | zenon_intro zenon_H274 ]. % 0.84/1.06 apply (zenon_L265_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H3f | zenon_intro zenon_Ha8 ]. % 0.84/1.06 apply (zenon_L269_); trivial. % 0.84/1.06 exact (zenon_Ha7 zenon_Ha8). % 0.84/1.06 exact (zenon_H1b zenon_H1c). % 0.84/1.06 (* end of lemma zenon_L279_ *) % 0.84/1.06 assert (zenon_L280_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> (c2_1 (a615)) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (~(hskp1)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H168 zenon_H15d zenon_H15c zenon_H15b zenon_Hb4 zenon_Hb3 zenon_Hb2 zenon_Ha zenon_H9d zenon_H1b. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.84/1.06 apply (zenon_L95_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.06 apply (zenon_L261_); trivial. % 0.84/1.06 exact (zenon_H1b zenon_H1c). % 0.84/1.06 (* end of lemma zenon_L280_ *) % 0.84/1.06 assert (zenon_L281_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> (c2_1 (a615)) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> (~(hskp1)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H87 zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H168 zenon_H15d zenon_H15c zenon_H15b zenon_Hb4 zenon_Hb3 zenon_Hb2 zenon_H1b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.84/1.06 apply (zenon_L220_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.84/1.06 apply (zenon_L30_); trivial. % 0.84/1.06 apply (zenon_L280_); trivial. % 0.84/1.06 (* end of lemma zenon_L281_ *) % 0.84/1.06 assert (zenon_L282_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp10)) -> (~(hskp12)) -> ((hskp10)\/((hskp12)\/(hskp18))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H177 zenon_H8c zenon_H256 zenon_H15b zenon_H15c zenon_H15d zenon_H1b zenon_H168 zenon_H233 zenon_H232 zenon_H231 zenon_H1 zenon_H5 zenon_H207. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.06 apply (zenon_L182_); trivial. % 0.84/1.06 apply (zenon_L281_); trivial. % 0.84/1.06 (* end of lemma zenon_L282_ *) % 0.84/1.06 assert (zenon_L283_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (~(hskp13)) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp10)) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H172 zenon_H8c zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H207 zenon_H3e zenon_H168 zenon_H1f3 zenon_H5 zenon_H18c zenon_H19f zenon_H1a0 zenon_H19e zenon_H273 zenon_H15d zenon_H15c zenon_H15b zenon_H1b zenon_H1f zenon_H1 zenon_H6f zenon_H72 zenon_H77. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.06 apply (zenon_L279_); trivial. % 0.84/1.06 apply (zenon_L28_); trivial. % 0.84/1.06 apply (zenon_L282_); trivial. % 0.84/1.06 (* end of lemma zenon_L283_ *) % 0.84/1.06 assert (zenon_L284_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a600)) -> (~(c1_1 (a600))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> (~(hskp5)) -> (~(hskp10)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> (~(c0_1 (a602))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1ef zenon_H1d5 zenon_He0 zenon_H1be zenon_H22e zenon_H215 zenon_H217 zenon_H1b8 zenon_H223 zenon_H102 zenon_H1c5 zenon_H1c4 zenon_H77 zenon_H72 zenon_H6f zenon_H1 zenon_H1f zenon_H1b zenon_H15b zenon_H15c zenon_H15d zenon_H273 zenon_H19e zenon_H1a0 zenon_H19f zenon_H5 zenon_H1f3 zenon_H168 zenon_H3e zenon_H207 zenon_H231 zenon_H232 zenon_H233 zenon_H256 zenon_H8c zenon_H172. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.06 apply (zenon_L283_); trivial. % 0.84/1.06 apply (zenon_L274_); trivial. % 0.84/1.06 (* end of lemma zenon_L284_ *) % 0.84/1.06 assert (zenon_L285_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c0_1 (a602))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_Ha zenon_H7b zenon_H19e zenon_H1a0 zenon_H19f. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.06 apply (zenon_L102_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.06 apply (zenon_L117_); trivial. % 0.84/1.06 apply (zenon_L118_); trivial. % 0.84/1.06 (* end of lemma zenon_L285_ *) % 0.84/1.06 assert (zenon_L286_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp14)) -> (~(hskp8)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H71 zenon_H1b8 zenon_H17a zenon_H17b zenon_H17c zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H217 zenon_Ha7 zenon_H215. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.06 apply (zenon_L285_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.06 apply (zenon_L120_); trivial. % 0.84/1.06 apply (zenon_L188_); trivial. % 0.84/1.06 (* end of lemma zenon_L286_ *) % 0.84/1.06 assert (zenon_L287_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H155 zenon_H172 zenon_H1 zenon_H223 zenon_H1be zenon_H3e zenon_H256 zenon_H121 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1f zenon_H17c zenon_H17b zenon_H17a zenon_H217 zenon_H215 zenon_H1b8 zenon_H77. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.06 apply (zenon_L239_); trivial. % 0.84/1.06 apply (zenon_L286_); trivial. % 0.84/1.06 apply (zenon_L263_); trivial. % 0.84/1.06 (* end of lemma zenon_L287_ *) % 0.84/1.06 assert (zenon_L288_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> (c3_1 (a603)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H164 zenon_Ha zenon_H225 zenon_H227 zenon_H275. % 0.84/1.06 generalize (zenon_H164 (a603)). zenon_intro zenon_H276. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H276); [ zenon_intro zenon_H9 | zenon_intro zenon_H277 ]. % 0.84/1.06 exact (zenon_H9 zenon_Ha). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H22b | zenon_intro zenon_H278 ]. % 0.84/1.06 exact (zenon_H225 zenon_H22b). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H22c | zenon_intro zenon_H279 ]. % 0.84/1.06 exact (zenon_H22c zenon_H227). % 0.84/1.06 exact (zenon_H279 zenon_H275). % 0.84/1.06 (* end of lemma zenon_L288_ *) % 0.84/1.06 assert (zenon_L289_ : (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47)))))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c0_1 (a603)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H141 zenon_Ha zenon_H225 zenon_H164 zenon_H227. % 0.84/1.06 generalize (zenon_H141 (a603)). zenon_intro zenon_H27a. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H27a); [ zenon_intro zenon_H9 | zenon_intro zenon_H27b ]. % 0.84/1.06 exact (zenon_H9 zenon_Ha). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H22b | zenon_intro zenon_H27c ]. % 0.84/1.06 exact (zenon_H225 zenon_H22b). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H275 | zenon_intro zenon_H22c ]. % 0.84/1.06 apply (zenon_L288_); trivial. % 0.84/1.06 exact (zenon_H22c zenon_H227). % 0.84/1.06 (* end of lemma zenon_L289_ *) % 0.84/1.06 assert (zenon_L290_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (c0_1 (a603)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H14d zenon_He zenon_Hd zenon_H9d zenon_H227 zenon_H164 zenon_H225 zenon_Ha zenon_H14a. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.84/1.06 apply (zenon_L79_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.84/1.06 apply (zenon_L289_); trivial. % 0.84/1.06 exact (zenon_H14a zenon_H14b). % 0.84/1.06 (* end of lemma zenon_L290_ *) % 0.84/1.06 assert (zenon_L291_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp11)) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp1)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H71 zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H1be zenon_H1 zenon_H19e zenon_H19f zenon_H1a0 zenon_H223 zenon_H102 zenon_H1b8 zenon_H14a zenon_H225 zenon_H227 zenon_Hd zenon_He zenon_H14d zenon_H1b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.84/1.06 apply (zenon_L220_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.84/1.06 apply (zenon_L119_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.06 apply (zenon_L257_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.06 apply (zenon_L290_); trivial. % 0.84/1.06 exact (zenon_H1b zenon_H1c). % 0.84/1.06 (* end of lemma zenon_L291_ *) % 0.84/1.06 assert (zenon_L292_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H155 zenon_H25a zenon_H240 zenon_H1a0 zenon_H19f zenon_H19e zenon_H3e zenon_H97 zenon_H1b zenon_H1f zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H1be zenon_H225 zenon_H227 zenon_H14a zenon_H14d zenon_H223 zenon_H1 zenon_H1b8 zenon_H256 zenon_H77 zenon_H9c. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.84/1.06 apply (zenon_L225_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.06 apply (zenon_L36_); trivial. % 0.84/1.06 apply (zenon_L291_); trivial. % 0.84/1.06 apply (zenon_L235_); trivial. % 0.84/1.06 (* end of lemma zenon_L292_ *) % 0.84/1.06 assert (zenon_L293_ : (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2)))))) -> (ndr1_0) -> (~(c2_1 (a603))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H23 zenon_Ha zenon_H226 zenon_H164 zenon_H225 zenon_H227. % 0.84/1.06 generalize (zenon_H23 (a603)). zenon_intro zenon_H27d. % 0.84/1.06 apply (zenon_imply_s _ _ zenon_H27d); [ zenon_intro zenon_H9 | zenon_intro zenon_H27e ]. % 0.84/1.06 exact (zenon_H9 zenon_Ha). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H22d | zenon_intro zenon_H27c ]. % 0.84/1.06 exact (zenon_H226 zenon_H22d). % 0.84/1.06 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H275 | zenon_intro zenon_H22c ]. % 0.84/1.06 apply (zenon_L288_); trivial. % 0.84/1.06 exact (zenon_H22c zenon_H227). % 0.84/1.06 (* end of lemma zenon_L293_ *) % 0.84/1.06 assert (zenon_L294_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c0_1 (a603)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2)))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (~(hskp21)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H209 zenon_H227 zenon_H225 zenon_H226 zenon_H23 zenon_H192 zenon_H191 zenon_Ha zenon_H15a zenon_Haa. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H164 | zenon_intro zenon_H20a ]. % 0.84/1.06 apply (zenon_L293_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1d0 | zenon_intro zenon_Hab ]. % 0.84/1.06 apply (zenon_L143_); trivial. % 0.84/1.06 exact (zenon_Haa zenon_Hab). % 0.84/1.06 (* end of lemma zenon_L294_ *) % 0.84/1.06 assert (zenon_L295_ : ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(hskp21)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (~(c2_1 (a614))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H27f zenon_Haa zenon_H226 zenon_H225 zenon_H227 zenon_H209 zenon_H192 zenon_H191 zenon_H15a zenon_H190 zenon_Ha zenon_H49. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H23 | zenon_intro zenon_H280 ]. % 0.84/1.06 apply (zenon_L294_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H4a ]. % 0.84/1.06 apply (zenon_L111_); trivial. % 0.84/1.06 exact (zenon_H49 zenon_H4a). % 0.84/1.06 (* end of lemma zenon_L295_ *) % 0.84/1.06 assert (zenon_L296_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (c0_1 (a603)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> (~(c2_1 (a614))) -> (~(hskp29)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H3e zenon_H1d5 zenon_H168 zenon_H1 zenon_H223 zenon_H209 zenon_Haa zenon_H192 zenon_H191 zenon_H227 zenon_H225 zenon_H226 zenon_H190 zenon_H49 zenon_H27f zenon_H7e zenon_H7d zenon_H7c zenon_H1b zenon_H1d zenon_H1f. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.06 apply (zenon_L12_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.06 apply (zenon_L30_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.06 apply (zenon_L295_); trivial. % 0.84/1.06 apply (zenon_L198_); trivial. % 0.84/1.06 (* end of lemma zenon_L296_ *) % 0.84/1.06 assert (zenon_L297_ : ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c2_1 (a637)) -> (c1_1 (a637)) -> (c0_1 (a637)) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (c0_1 (a618)) -> (c3_1 (a618)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1da zenon_H192 zenon_H191 zenon_H190 zenon_H42 zenon_H41 zenon_H40 zenon_Hd3 zenon_Ha zenon_H59 zenon_H5a. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1db ]. % 0.84/1.06 apply (zenon_L148_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H3f | zenon_intro zenon_H2d ]. % 0.84/1.06 apply (zenon_L18_); trivial. % 0.84/1.06 apply (zenon_L248_); trivial. % 0.84/1.06 (* end of lemma zenon_L297_ *) % 0.84/1.06 assert (zenon_L298_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (c0_1 (a603)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> (~(c2_1 (a614))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H173 zenon_H121 zenon_H3e zenon_H1d5 zenon_H168 zenon_H1 zenon_H223 zenon_H209 zenon_Haa zenon_H192 zenon_H191 zenon_H227 zenon_H225 zenon_H226 zenon_H190 zenon_H27f zenon_H7e zenon_H7d zenon_H7c zenon_H1b zenon_H1d zenon_H1f zenon_H109 zenon_H105 zenon_H231 zenon_H232 zenon_H233 zenon_H1da zenon_H265 zenon_H52 zenon_H64. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.84/1.06 apply (zenon_L296_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.84/1.06 apply (zenon_L69_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.06 apply (zenon_L12_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.84/1.06 apply (zenon_L220_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.06 apply (zenon_L30_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.06 apply (zenon_L294_); trivial. % 0.84/1.06 apply (zenon_L198_); trivial. % 0.84/1.06 apply (zenon_L297_); trivial. % 0.84/1.06 apply (zenon_L151_); trivial. % 0.84/1.06 (* end of lemma zenon_L298_ *) % 0.84/1.06 assert (zenon_L299_ : ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (~(hskp12)) -> False). % 0.84/1.06 do 0 intro. intros zenon_Hdd zenon_H227 zenon_H226 zenon_H225 zenon_H67 zenon_H68 zenon_H66 zenon_Ha zenon_Hfe zenon_H5. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ]. % 0.84/1.06 apply (zenon_L205_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H6 ]. % 0.84/1.06 apply (zenon_L186_); trivial. % 0.84/1.06 exact (zenon_H5 zenon_H6). % 0.84/1.06 (* end of lemma zenon_L299_ *) % 0.84/1.06 assert (zenon_L300_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> (c0_1 (a603)) -> (~(c2_1 (a651))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(hskp12)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (~(hskp3)) -> (~(hskp26)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H52 zenon_H273 zenon_Ha7 zenon_H225 zenon_H226 zenon_H227 zenon_H66 zenon_H68 zenon_H67 zenon_H5 zenon_Hdd zenon_H105 zenon_H107 zenon_H109. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.84/1.06 apply (zenon_L69_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Hfe | zenon_intro zenon_H274 ]. % 0.84/1.06 apply (zenon_L299_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H3f | zenon_intro zenon_Ha8 ]. % 0.84/1.06 apply (zenon_L18_); trivial. % 0.84/1.06 exact (zenon_Ha7 zenon_Ha8). % 0.84/1.06 (* end of lemma zenon_L300_ *) % 0.84/1.06 assert (zenon_L301_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(hskp29)) -> (~(c2_1 (a614))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c0_1 (a603)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> (~(hskp21)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1d5 zenon_H7e zenon_H7d zenon_H7c zenon_H49 zenon_H190 zenon_H209 zenon_H227 zenon_H225 zenon_H226 zenon_Haa zenon_H27f zenon_H1d3 zenon_H192 zenon_H191 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.06 apply (zenon_L30_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.06 apply (zenon_L295_); trivial. % 0.84/1.06 apply (zenon_L144_); trivial. % 0.84/1.06 (* end of lemma zenon_L301_ *) % 0.84/1.06 assert (zenon_L302_ : ((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp10)) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp12)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H55 zenon_Hdd zenon_H227 zenon_H226 zenon_H225 zenon_H1 zenon_H66 zenon_H67 zenon_H68 zenon_H223 zenon_H5. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ]. % 0.84/1.06 apply (zenon_L205_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H6 ]. % 0.84/1.06 apply (zenon_L230_); trivial. % 0.84/1.06 exact (zenon_H5 zenon_H6). % 0.84/1.06 (* end of lemma zenon_L302_ *) % 0.84/1.06 assert (zenon_L303_ : ((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (~(hskp12)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H123 zenon_H121 zenon_H7e zenon_H7d zenon_H7c zenon_Hdd zenon_H227 zenon_H226 zenon_H225 zenon_Hc6 zenon_Hc4 zenon_H5. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H118. zenon_intro zenon_H125. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H119. zenon_intro zenon_H11a. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.84/1.06 apply (zenon_L73_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.84/1.06 apply (zenon_L30_); trivial. % 0.84/1.06 apply (zenon_L212_); trivial. % 0.84/1.06 (* end of lemma zenon_L303_ *) % 0.84/1.06 assert (zenon_L304_ : ((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H167 zenon_H77 zenon_Ha7 zenon_H273 zenon_H52 zenon_Hdd zenon_H5 zenon_H190 zenon_H191 zenon_H192 zenon_H1da zenon_H227 zenon_H226 zenon_H225 zenon_H105 zenon_H109 zenon_H1f zenon_H1b zenon_H7c zenon_H7d zenon_H7e zenon_H121 zenon_H3e zenon_H173. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.06 apply (zenon_L209_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.84/1.06 apply (zenon_L300_); trivial. % 0.84/1.06 apply (zenon_L303_); trivial. % 0.84/1.06 (* end of lemma zenon_L304_ *) % 0.84/1.06 assert (zenon_L305_ : ((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> (~(hskp12)) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1f0 zenon_H172 zenon_He0 zenon_H207 zenon_H5 zenon_H1 zenon_H77 zenon_H104 zenon_H102 zenon_H1d3 zenon_Hdd zenon_H273 zenon_H64 zenon_H52 zenon_H265 zenon_H1da zenon_H233 zenon_H232 zenon_H231 zenon_H105 zenon_H109 zenon_H1f zenon_H1b zenon_H27f zenon_H226 zenon_H225 zenon_H227 zenon_H209 zenon_H223 zenon_H168 zenon_H1d5 zenon_H3e zenon_H121 zenon_H173 zenon_H16d zenon_H8c. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.06 apply (zenon_L182_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.06 apply (zenon_L298_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.84/1.06 apply (zenon_L300_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H118. zenon_intro zenon_H125. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H119. zenon_intro zenon_H11a. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.84/1.06 apply (zenon_L301_); trivial. % 0.84/1.06 apply (zenon_L302_); trivial. % 0.84/1.06 apply (zenon_L74_); trivial. % 0.84/1.06 apply (zenon_L304_); trivial. % 0.84/1.06 apply (zenon_L201_); trivial. % 0.84/1.06 (* end of lemma zenon_L305_ *) % 0.84/1.06 assert (zenon_L306_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c0_1 (a603)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2)))))) -> (~(hskp1)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1be zenon_H1 zenon_H19e zenon_H19f zenon_H1a0 zenon_H66 zenon_H67 zenon_H68 zenon_H223 zenon_H102 zenon_H1b8 zenon_H227 zenon_H225 zenon_H226 zenon_Ha zenon_H23 zenon_H1b. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.06 apply (zenon_L257_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.06 apply (zenon_L293_); trivial. % 0.84/1.06 exact (zenon_H1b zenon_H1c). % 0.84/1.06 (* end of lemma zenon_L306_ *) % 0.84/1.06 assert (zenon_L307_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H97 zenon_H68 zenon_H67 zenon_H66 zenon_Hd3 zenon_He zenon_Hd zenon_Hc zenon_H102 zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8d | zenon_intro zenon_H98 ]. % 0.84/1.06 apply (zenon_L121_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.84/1.06 apply (zenon_L6_); trivial. % 0.84/1.06 apply (zenon_L64_); trivial. % 0.84/1.06 (* end of lemma zenon_L307_ *) % 0.84/1.06 assert (zenon_L308_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_Hed zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H226 zenon_H225 zenon_H227 zenon_H1b8 zenon_H223 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1 zenon_H1be zenon_H97 zenon_H68 zenon_H67 zenon_H66 zenon_He zenon_Hd zenon_Hc zenon_H102. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.84/1.06 apply (zenon_L220_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.84/1.06 apply (zenon_L306_); trivial. % 0.84/1.06 apply (zenon_L307_); trivial. % 0.84/1.06 (* end of lemma zenon_L308_ *) % 0.84/1.06 assert (zenon_L309_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H71 zenon_H104 zenon_H265 zenon_Hc zenon_Hd zenon_He zenon_H97 zenon_H1b8 zenon_H1 zenon_H223 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H226 zenon_H225 zenon_H227 zenon_H1b zenon_H1be zenon_H233 zenon_H232 zenon_H231 zenon_H15b zenon_H15c zenon_H15d zenon_H1d3. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.06 apply (zenon_L240_); trivial. % 0.84/1.06 apply (zenon_L308_); trivial. % 0.84/1.06 (* end of lemma zenon_L309_ *) % 0.84/1.06 assert (zenon_L310_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H155 zenon_H77 zenon_H104 zenon_H265 zenon_H97 zenon_H1b8 zenon_H1 zenon_H223 zenon_H226 zenon_H225 zenon_H227 zenon_H1be zenon_H15b zenon_H15c zenon_H15d zenon_H1d3 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H121 zenon_H256 zenon_H3e. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.06 apply (zenon_L239_); trivial. % 0.84/1.06 apply (zenon_L309_); trivial. % 0.84/1.06 (* end of lemma zenon_L310_ *) % 0.84/1.06 assert (zenon_L311_ : ((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp10)) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c0_1 (a603)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H16c zenon_H174 zenon_H97 zenon_H1b8 zenon_H1be zenon_H172 zenon_H8c zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H207 zenon_H3e zenon_H168 zenon_H1f3 zenon_H19f zenon_H1a0 zenon_H19e zenon_H273 zenon_H1b zenon_H1f zenon_H1 zenon_H6f zenon_H72 zenon_H77 zenon_H16d zenon_H173 zenon_H121 zenon_H1d5 zenon_H223 zenon_H209 zenon_H227 zenon_H225 zenon_H226 zenon_H27f zenon_H109 zenon_H105 zenon_H1da zenon_H265 zenon_H52 zenon_H64 zenon_Hdd zenon_H1d3 zenon_H102 zenon_H104 zenon_He0 zenon_H1ef. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.06 apply (zenon_L283_); trivial. % 0.84/1.06 apply (zenon_L305_); trivial. % 0.84/1.06 apply (zenon_L310_); trivial. % 0.84/1.06 (* end of lemma zenon_L311_ *) % 0.84/1.06 assert (zenon_L312_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> (~(hskp9)) -> ((hskp10)\/((hskp9)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c2_1 (a603))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1c3 zenon_H23c zenon_H23a zenon_H174 zenon_H25a zenon_H240 zenon_H1a0 zenon_H19f zenon_H19e zenon_H3e zenon_H97 zenon_H1b zenon_H1f zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H1be zenon_H225 zenon_H227 zenon_H14d zenon_H223 zenon_H1b8 zenon_H256 zenon_H77 zenon_H9c zenon_H3 zenon_H7 zenon_H1ef zenon_He0 zenon_H104 zenon_H1d3 zenon_Hdd zenon_H64 zenon_H52 zenon_H265 zenon_H1da zenon_H105 zenon_H109 zenon_H27f zenon_H226 zenon_H209 zenon_H1d5 zenon_H121 zenon_H173 zenon_H16d zenon_H72 zenon_H6f zenon_H273 zenon_H1f3 zenon_H168 zenon_H207 zenon_H8c zenon_H172 zenon_H171. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.06 apply (zenon_L4_); trivial. % 0.84/1.06 apply (zenon_L292_); trivial. % 0.84/1.06 apply (zenon_L311_); trivial. % 0.84/1.06 apply (zenon_L222_); trivial. % 0.84/1.06 (* end of lemma zenon_L312_ *) % 0.84/1.06 assert (zenon_L313_ : ((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a609))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H39 zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H121 zenon_Hc zenon_He zenon_Hd zenon_H19f zenon_H1a0 zenon_H19e zenon_H17a zenon_H17b zenon_H17c zenon_H102. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.84/1.06 apply (zenon_L220_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.84/1.06 apply (zenon_L285_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.84/1.06 apply (zenon_L237_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.84/1.06 apply (zenon_L285_); trivial. % 0.84/1.06 apply (zenon_L14_); trivial. % 0.84/1.06 (* end of lemma zenon_L313_ *) % 0.84/1.06 assert (zenon_L314_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(c1_1 (a609))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> (~(c0_1 (a602))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H3e zenon_H256 zenon_Hd zenon_He zenon_Hc zenon_H121 zenon_H17a zenon_H17b zenon_H17c zenon_H19e zenon_H1a0 zenon_H19f zenon_H102 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1d zenon_H1f. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.06 apply (zenon_L12_); trivial. % 0.84/1.06 apply (zenon_L313_); trivial. % 0.84/1.06 (* end of lemma zenon_L314_ *) % 0.84/1.06 assert (zenon_L315_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a603)) -> (~(c1_1 (a603))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H155 zenon_H77 zenon_H1b8 zenon_H1 zenon_H223 zenon_H14d zenon_H14a zenon_H227 zenon_H225 zenon_H1be zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H19f zenon_H1a0 zenon_H19e zenon_H17c zenon_H17b zenon_H17a zenon_H121 zenon_H256 zenon_H3e. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.06 apply (zenon_L314_); trivial. % 0.84/1.06 apply (zenon_L291_); trivial. % 0.84/1.06 (* end of lemma zenon_L315_ *) % 0.84/1.06 assert (zenon_L316_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> (~(hskp5)) -> (~(hskp10)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c0_1 (a603)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H174 zenon_H1b8 zenon_H14d zenon_H14a zenon_H256 zenon_H77 zenon_H72 zenon_H6f zenon_H1 zenon_H1f zenon_H1b zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H17c zenon_H17b zenon_H17a zenon_H1f3 zenon_H1be zenon_H3e zenon_H8c zenon_H16d zenon_H173 zenon_H121 zenon_H1d5 zenon_H168 zenon_H223 zenon_H209 zenon_H227 zenon_H225 zenon_H226 zenon_H27f zenon_H109 zenon_H105 zenon_H231 zenon_H232 zenon_H233 zenon_H1da zenon_H265 zenon_H52 zenon_H64 zenon_H273 zenon_Hdd zenon_H1d3 zenon_H104 zenon_H207 zenon_He0 zenon_H172 zenon_H1ef. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.06 apply (zenon_L267_); trivial. % 0.84/1.06 apply (zenon_L305_); trivial. % 0.84/1.06 apply (zenon_L315_); trivial. % 0.84/1.06 (* end of lemma zenon_L316_ *) % 0.84/1.06 assert (zenon_L317_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c3_1 (a667))) -> (~(c1_1 (a667))) -> (~(c0_1 (a667))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_Hed zenon_H121 zenon_H11a zenon_H119 zenon_H118 zenon_H19f zenon_H1a0 zenon_H19e zenon_H102. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.84/1.06 apply (zenon_L73_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.84/1.06 apply (zenon_L119_); trivial. % 0.84/1.06 apply (zenon_L64_); trivial. % 0.84/1.06 (* end of lemma zenon_L317_ *) % 0.84/1.06 assert (zenon_L318_ : ((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H123 zenon_H104 zenon_H121 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H15b zenon_H15c zenon_H15d zenon_H66 zenon_H67 zenon_H68 zenon_H1d3. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H118. zenon_intro zenon_H125. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H119. zenon_intro zenon_H11a. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.06 apply (zenon_L240_); trivial. % 0.84/1.06 apply (zenon_L317_); trivial. % 0.84/1.06 (* end of lemma zenon_L318_ *) % 0.84/1.06 assert (zenon_L319_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (~(c0_1 (a602))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (c2_1 (a672)) -> (c3_1 (a672)) -> (c0_1 (a672)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H1a0 zenon_H19f zenon_H1ba zenon_H19e zenon_H164 zenon_Ha zenon_H2f zenon_H30 zenon_H2e. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.06 apply (zenon_L102_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.06 apply (zenon_L129_); trivial. % 0.84/1.06 apply (zenon_L197_); trivial. % 0.84/1.06 (* end of lemma zenon_L319_ *) % 0.84/1.06 assert (zenon_L320_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> (c0_1 (a672)) -> (c3_1 (a672)) -> (c2_1 (a672)) -> (ndr1_0) -> (~(c0_1 (a602))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp1)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H168 zenon_H15d zenon_H15c zenon_H15b zenon_H2e zenon_H30 zenon_H2f zenon_Ha zenon_H19e zenon_H1ba zenon_H19f zenon_H1a0 zenon_H17a zenon_H17b zenon_H17c zenon_H102 zenon_H1b. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.84/1.06 apply (zenon_L95_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.06 apply (zenon_L319_); trivial. % 0.84/1.06 exact (zenon_H1b zenon_H1c). % 0.84/1.06 (* end of lemma zenon_L320_ *) % 0.84/1.06 assert (zenon_L321_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (c2_1 (a672)) -> (c3_1 (a672)) -> (c0_1 (a672)) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a600))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1be zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H1a0 zenon_H19f zenon_H19e zenon_H2f zenon_H30 zenon_H2e zenon_H15b zenon_H15c zenon_H15d zenon_H168 zenon_H1c5 zenon_H25e zenon_H230 zenon_H1c4 zenon_Ha zenon_H1b. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.06 apply (zenon_L320_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.06 apply (zenon_L245_); trivial. % 0.84/1.06 exact (zenon_H1b zenon_H1c). % 0.84/1.06 (* end of lemma zenon_L321_ *) % 0.84/1.06 assert (zenon_L322_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (c2_1 (a615)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H3e zenon_H256 zenon_Hb2 zenon_Hb3 zenon_Hb4 zenon_H168 zenon_H17a zenon_H17b zenon_H17c zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H15d zenon_H15c zenon_H15b zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1be zenon_H1b zenon_H1d zenon_H1f. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.06 apply (zenon_L12_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.84/1.06 apply (zenon_L321_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.84/1.06 apply (zenon_L285_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.06 apply (zenon_L320_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.06 apply (zenon_L261_); trivial. % 0.84/1.06 exact (zenon_H1b zenon_H1c). % 0.84/1.06 (* end of lemma zenon_L322_ *) % 0.84/1.06 assert (zenon_L323_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H177 zenon_H77 zenon_H1b8 zenon_H1 zenon_H223 zenon_H233 zenon_H232 zenon_H231 zenon_H1f zenon_H1b zenon_H1be zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H15b zenon_H15c zenon_H15d zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H17c zenon_H17b zenon_H17a zenon_H168 zenon_H256 zenon_H3e. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.06 apply (zenon_L322_); trivial. % 0.84/1.06 apply (zenon_L262_); trivial. % 0.84/1.06 (* end of lemma zenon_L323_ *) % 0.84/1.06 assert (zenon_L324_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H155 zenon_H77 zenon_H104 zenon_H265 zenon_H97 zenon_H1b8 zenon_H1 zenon_H223 zenon_H226 zenon_H225 zenon_H227 zenon_H1be zenon_H15b zenon_H15c zenon_H15d zenon_H1d3 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H19f zenon_H1a0 zenon_H19e zenon_H17c zenon_H17b zenon_H17a zenon_H121 zenon_H256 zenon_H3e. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.06 apply (zenon_L314_); trivial. % 0.84/1.06 apply (zenon_L309_); trivial. % 0.84/1.06 (* end of lemma zenon_L324_ *) % 0.84/1.06 assert (zenon_L325_ : ((ndr1_0)/\((c2_1 (a602))/\((c3_1 (a602))/\(~(c0_1 (a602)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c2_1 (a603))))))) -> (~(c2_1 (a600))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp10)\/((hskp9)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c1_1 (a600))) -> (c3_1 (a600)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H281 zenon_H282 zenon_H25e zenon_H16d zenon_H173 zenon_H209 zenon_H27f zenon_H109 zenon_H105 zenon_H1da zenon_H265 zenon_H52 zenon_H64 zenon_Hdd zenon_H1d3 zenon_H104 zenon_H1c3 zenon_H23c zenon_H23a zenon_H7 zenon_H77 zenon_H1be zenon_H1c4 zenon_H1c5 zenon_H217 zenon_H223 zenon_H1b8 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H121 zenon_H256 zenon_H3e zenon_H172 zenon_H174 zenon_H171 zenon_H168 zenon_H273 zenon_H1ef zenon_H8c zenon_H1d5 zenon_He0 zenon_H207 zenon_H22e zenon_H1f3 zenon_H6f zenon_H72 zenon_H25a zenon_H14d zenon_H240 zenon_H97 zenon_H9c zenon_H1c2. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.06 apply (zenon_L4_); trivial. % 0.84/1.06 apply (zenon_L264_); trivial. % 0.84/1.06 apply (zenon_L222_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_Ha. zenon_intro zenon_H1c0. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H17b. zenon_intro zenon_H1c1. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.06 apply (zenon_L267_); trivial. % 0.84/1.06 apply (zenon_L274_); trivial. % 0.84/1.06 apply (zenon_L278_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.06 apply (zenon_L284_); trivial. % 0.84/1.06 apply (zenon_L287_); trivial. % 0.84/1.06 apply (zenon_L244_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H227. zenon_intro zenon_H287. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.84/1.06 apply (zenon_L312_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_Ha. zenon_intro zenon_H1c0. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H17b. zenon_intro zenon_H1c1. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.84/1.06 apply (zenon_L316_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.06 apply (zenon_L266_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.84/1.06 apply (zenon_L300_); trivial. % 0.84/1.06 apply (zenon_L318_); trivial. % 0.84/1.06 apply (zenon_L323_); trivial. % 0.84/1.06 apply (zenon_L305_); trivial. % 0.84/1.06 apply (zenon_L324_); trivial. % 0.84/1.06 apply (zenon_L244_); trivial. % 0.84/1.06 (* end of lemma zenon_L325_ *) % 0.84/1.06 assert (zenon_L326_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> (~(hskp10)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1ef zenon_H172 zenon_H168 zenon_H207 zenon_H1 zenon_H173 zenon_H121 zenon_H109 zenon_H105 zenon_H1f zenon_H1b zenon_H1da zenon_H3e zenon_H52 zenon_H1d5 zenon_H1d3 zenon_He0 zenon_H217 zenon_H215 zenon_H1b8 zenon_H223 zenon_H104 zenon_H77 zenon_H8c zenon_Ha zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H1f3. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.06 apply (zenon_L175_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.06 apply (zenon_L182_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.06 apply (zenon_L152_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.06 apply (zenon_L193_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.06 apply (zenon_L30_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.06 apply (zenon_L192_); trivial. % 0.84/1.06 apply (zenon_L199_); trivial. % 0.84/1.06 apply (zenon_L201_); trivial. % 0.84/1.06 (* end of lemma zenon_L326_ *) % 0.84/1.06 assert (zenon_L327_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a599)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a599))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H1de zenon_H1f4 zenon_H7b zenon_H1f6 zenon_H26 zenon_H25 zenon_H24 zenon_Ha zenon_H1dc. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H164 | zenon_intro zenon_H1df ]. % 0.84/1.06 apply (zenon_L176_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H23 | zenon_intro zenon_H1dd ]. % 0.84/1.06 apply (zenon_L13_); trivial. % 0.84/1.06 exact (zenon_H1dc zenon_H1dd). % 0.84/1.06 (* end of lemma zenon_L327_ *) % 0.84/1.06 assert (zenon_L328_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp7)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H133 zenon_He zenon_Hd zenon_H9d zenon_Ha zenon_Hd7 zenon_H17. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H12e | zenon_intro zenon_H134 ]. % 0.84/1.06 apply (zenon_L79_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H18 ]. % 0.84/1.06 exact (zenon_Hd7 zenon_Hd8). % 0.84/1.06 exact (zenon_H17 zenon_H18). % 0.84/1.06 (* end of lemma zenon_L328_ *) % 0.84/1.06 assert (zenon_L329_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp20)) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp7)) -> False). % 0.84/1.06 do 0 intro. intros zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H1dc zenon_H24 zenon_H25 zenon_H26 zenon_H1f6 zenon_H1f4 zenon_H1de zenon_H133 zenon_He zenon_Hd zenon_Ha zenon_Hd7 zenon_H17. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.84/1.06 apply (zenon_L220_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.84/1.06 apply (zenon_L327_); trivial. % 0.84/1.06 apply (zenon_L328_); trivial. % 0.84/1.06 (* end of lemma zenon_L329_ *) % 0.84/1.06 assert (zenon_L330_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_Hed zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H26 zenon_H25 zenon_H24 zenon_H97 zenon_H68 zenon_H67 zenon_H66 zenon_He zenon_Hd zenon_Hc zenon_H102. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.06 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.84/1.06 apply (zenon_L220_); trivial. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.84/1.06 apply (zenon_L13_); trivial. % 0.84/1.06 apply (zenon_L307_); trivial. % 0.84/1.06 (* end of lemma zenon_L330_ *) % 0.84/1.06 assert (zenon_L331_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a609))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H71 zenon_H104 zenon_H265 zenon_Hc zenon_H102 zenon_H97 zenon_H231 zenon_H232 zenon_H233 zenon_H1de zenon_H1dc zenon_H26 zenon_H25 zenon_H24 zenon_H1f4 zenon_H1f6 zenon_H133 zenon_H17 zenon_He zenon_Hd zenon_H256. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.06 apply (zenon_L329_); trivial. % 0.84/1.06 apply (zenon_L330_); trivial. % 0.84/1.06 (* end of lemma zenon_L331_ *) % 0.84/1.06 assert (zenon_L332_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (~(hskp18)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (ndr1_0) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.84/1.06 do 0 intro. intros zenon_H76 zenon_H1ec zenon_H64 zenon_H56 zenon_H53 zenon_H3e zenon_H3a zenon_H1b zenon_H1f zenon_H4b zenon_H4e zenon_H52 zenon_H256 zenon_H133 zenon_H1f6 zenon_H1f4 zenon_H1de zenon_H233 zenon_H232 zenon_H231 zenon_H97 zenon_H102 zenon_H265 zenon_H104 zenon_H77 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.84/1.06 apply (zenon_L9_); trivial. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.84/1.06 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.84/1.06 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.06 apply (zenon_L25_); trivial. % 0.84/1.06 apply (zenon_L331_); trivial. % 0.84/1.06 apply (zenon_L252_); trivial. % 0.84/1.06 (* end of lemma zenon_L332_ *) % 0.84/1.06 assert (zenon_L333_ : ((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(hskp20)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a609))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H55 zenon_H256 zenon_H1dc zenon_H1f6 zenon_H1f4 zenon_H1de zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H26 zenon_H25 zenon_H24 zenon_H121 zenon_Hc zenon_He zenon_Hd zenon_H7e zenon_H7d zenon_H7c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.84/1.07 apply (zenon_L220_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.84/1.07 apply (zenon_L327_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.84/1.07 apply (zenon_L220_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.84/1.07 apply (zenon_L13_); trivial. % 0.84/1.07 apply (zenon_L249_); trivial. % 0.84/1.07 (* end of lemma zenon_L333_ *) % 0.84/1.07 assert (zenon_L334_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(c1_1 (a609))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> (~(hskp20)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H64 zenon_H256 zenon_H121 zenon_H7e zenon_H7d zenon_H7c zenon_Hc zenon_He zenon_Hd zenon_H265 zenon_H1f6 zenon_H1f4 zenon_H1dc zenon_H1de zenon_H233 zenon_H232 zenon_H231 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H1b zenon_H1d zenon_H1f zenon_H4b zenon_H4e zenon_H52. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.84/1.07 apply (zenon_L22_); trivial. % 0.84/1.07 apply (zenon_L333_); trivial. % 0.84/1.07 (* end of lemma zenon_L334_ *) % 0.84/1.07 assert (zenon_L335_ : ((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H99 zenon_H76 zenon_H1ec zenon_H3e zenon_H97 zenon_H1b zenon_H1f zenon_H256 zenon_H133 zenon_H1f6 zenon_H1f4 zenon_H1de zenon_H233 zenon_H232 zenon_H231 zenon_H102 zenon_H265 zenon_H104 zenon_H77 zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.84/1.07 apply (zenon_L9_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.07 apply (zenon_L36_); trivial. % 0.84/1.07 apply (zenon_L331_); trivial. % 0.84/1.07 apply (zenon_L252_); trivial. % 0.84/1.07 (* end of lemma zenon_L335_ *) % 0.84/1.07 assert (zenon_L336_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H155 zenon_H9c zenon_H76 zenon_H1ec zenon_H64 zenon_H56 zenon_H3e zenon_H3a zenon_H1b zenon_H1f zenon_H4e zenon_H52 zenon_H256 zenon_H133 zenon_H1f6 zenon_H1f4 zenon_H1de zenon_H233 zenon_H232 zenon_H231 zenon_H97 zenon_H102 zenon_H265 zenon_H104 zenon_H77 zenon_H17 zenon_H19 zenon_H121 zenon_H8c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.07 apply (zenon_L332_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.84/1.07 apply (zenon_L9_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.07 apply (zenon_L334_); trivial. % 0.84/1.07 apply (zenon_L331_); trivial. % 0.84/1.07 apply (zenon_L252_); trivial. % 0.84/1.07 apply (zenon_L335_); trivial. % 0.84/1.07 (* end of lemma zenon_L336_ *) % 0.84/1.07 assert (zenon_L337_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1ef zenon_H172 zenon_He0 zenon_H207 zenon_H1 zenon_H77 zenon_H104 zenon_H102 zenon_H1d3 zenon_Hdd zenon_H273 zenon_H64 zenon_H52 zenon_H265 zenon_H1da zenon_H233 zenon_H232 zenon_H231 zenon_H105 zenon_H109 zenon_H1f zenon_H1b zenon_H27f zenon_H226 zenon_H225 zenon_H227 zenon_H209 zenon_H223 zenon_H168 zenon_H1d5 zenon_H3e zenon_H121 zenon_H173 zenon_H16d zenon_H8c zenon_Ha zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H1f3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.07 apply (zenon_L175_); trivial. % 0.84/1.07 apply (zenon_L305_); trivial. % 0.84/1.07 (* end of lemma zenon_L337_ *) % 0.84/1.07 assert (zenon_L338_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1d5 zenon_H102 zenon_H15d zenon_H15c zenon_H15b zenon_H223 zenon_H192 zenon_H190 zenon_H191 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1ba zenon_Ha zenon_H1. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.07 apply (zenon_L119_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.07 apply (zenon_L95_); trivial. % 0.84/1.07 apply (zenon_L271_); trivial. % 0.84/1.07 (* end of lemma zenon_L338_ *) % 0.84/1.07 assert (zenon_L339_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp10)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c1_1 (a614)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(hskp1)) -> False). % 0.84/1.07 do 0 intro. intros zenon_Hed zenon_H1be zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H1 zenon_H191 zenon_H190 zenon_H192 zenon_H223 zenon_H15b zenon_H15c zenon_H15d zenon_H1f6 zenon_H1f4 zenon_H1d5 zenon_H1b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.07 apply (zenon_L338_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.07 apply (zenon_L176_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.07 apply (zenon_L95_); trivial. % 0.84/1.07 apply (zenon_L199_); trivial. % 0.84/1.07 exact (zenon_H1b zenon_H1c). % 0.84/1.07 (* end of lemma zenon_L339_ *) % 0.84/1.07 assert (zenon_L340_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H71 zenon_H104 zenon_H1be zenon_H1b zenon_H1f6 zenon_H1f4 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H223 zenon_H1 zenon_H192 zenon_H190 zenon_H191 zenon_H1d5 zenon_H15b zenon_H15c zenon_H15d zenon_H1d3. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.07 apply (zenon_L240_); trivial. % 0.84/1.07 apply (zenon_L339_); trivial. % 0.84/1.07 (* end of lemma zenon_L340_ *) % 0.84/1.07 assert (zenon_L341_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1ef zenon_H77 zenon_H104 zenon_H1d3 zenon_H1f zenon_H1b zenon_H1d5 zenon_H1 zenon_H223 zenon_H15d zenon_H15c zenon_H15b zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H22e zenon_H1be zenon_H3e zenon_Ha zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H1f3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.07 apply (zenon_L175_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.07 apply (zenon_L12_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.07 apply (zenon_L338_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.07 apply (zenon_L270_); trivial. % 0.84/1.07 exact (zenon_H1b zenon_H1c). % 0.84/1.07 apply (zenon_L340_); trivial. % 0.84/1.07 (* end of lemma zenon_L341_ *) % 0.84/1.07 assert (zenon_L342_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> (c3_1 (a599)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H168 zenon_H15d zenon_H15c zenon_H15b zenon_H1f4 zenon_H7b zenon_H1f6 zenon_Ha zenon_H1b. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.84/1.07 apply (zenon_L95_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.07 apply (zenon_L176_); trivial. % 0.84/1.07 exact (zenon_H1b zenon_H1c). % 0.84/1.07 (* end of lemma zenon_L342_ *) % 0.84/1.07 assert (zenon_L343_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a609))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(hskp1)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_Hed zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H121 zenon_Hc zenon_He zenon_Hd zenon_H1b zenon_H1f6 zenon_H1f4 zenon_H15b zenon_H15c zenon_H15d zenon_H168 zenon_H102. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.84/1.07 apply (zenon_L220_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.84/1.07 apply (zenon_L342_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.84/1.07 apply (zenon_L237_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.84/1.07 apply (zenon_L342_); trivial. % 0.84/1.07 apply (zenon_L64_); trivial. % 0.84/1.07 (* end of lemma zenon_L343_ *) % 0.84/1.07 assert (zenon_L344_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(c1_1 (a609))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H71 zenon_H104 zenon_H256 zenon_Hd zenon_He zenon_Hc zenon_H102 zenon_H121 zenon_H1f6 zenon_H1f4 zenon_H1b zenon_H168 zenon_H233 zenon_H232 zenon_H231 zenon_H15b zenon_H15c zenon_H15d zenon_H1d3. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.07 apply (zenon_L240_); trivial. % 0.84/1.07 apply (zenon_L343_); trivial. % 0.84/1.07 (* end of lemma zenon_L344_ *) % 0.84/1.07 assert (zenon_L345_ : ((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H16c zenon_H174 zenon_H168 zenon_H231 zenon_H232 zenon_H233 zenon_H121 zenon_H256 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H3e zenon_H1be zenon_H22e zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H223 zenon_H1 zenon_H1d5 zenon_H1b zenon_H1f zenon_H1d3 zenon_H104 zenon_H77 zenon_H1ef. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.07 apply (zenon_L341_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.07 apply (zenon_L239_); trivial. % 0.84/1.07 apply (zenon_L344_); trivial. % 0.84/1.07 (* end of lemma zenon_L345_ *) % 0.84/1.07 assert (zenon_L346_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c2_1 (a672)) -> (c3_1 (a672)) -> (c0_1 (a672)) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(hskp21)) -> (ndr1_0) -> (~(c3_1 (a614))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (~(c2_1 (a614))) -> (c1_1 (a614)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (~(hskp20)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1de zenon_H2f zenon_H30 zenon_H2e zenon_H3f zenon_Haa zenon_Ha zenon_H191 zenon_H8d zenon_H190 zenon_H192 zenon_H226 zenon_H225 zenon_H227 zenon_H209 zenon_H1dc. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H164 | zenon_intro zenon_H1df ]. % 0.84/1.07 apply (zenon_L269_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H23 | zenon_intro zenon_H1dd ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H164 | zenon_intro zenon_H20a ]. % 0.84/1.07 apply (zenon_L293_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1d0 | zenon_intro zenon_Hab ]. % 0.84/1.07 apply (zenon_L196_); trivial. % 0.84/1.07 exact (zenon_Haa zenon_Hab). % 0.84/1.07 exact (zenon_H1dc zenon_H1dd). % 0.84/1.07 (* end of lemma zenon_L346_ *) % 0.84/1.07 assert (zenon_L347_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (~(hskp14)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(hskp21)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c1_1 (a614)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (~(hskp20)) -> (~(c0_1 (a602))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> (c3_1 (a672)) -> (c2_1 (a672)) -> (c0_1 (a672)) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.84/1.07 do 0 intro. intros zenon_Hdf zenon_Ha7 zenon_H1de zenon_Haa zenon_H191 zenon_H190 zenon_H192 zenon_H226 zenon_H225 zenon_H227 zenon_H209 zenon_H1dc zenon_H19e zenon_H1ba zenon_H19f zenon_H1a0 zenon_H273 zenon_H30 zenon_H2f zenon_H2e zenon_Ha zenon_H3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H8d | zenon_intro zenon_He1 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Hfe | zenon_intro zenon_H274 ]. % 0.84/1.07 apply (zenon_L129_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H3f | zenon_intro zenon_Ha8 ]. % 0.84/1.07 apply (zenon_L346_); trivial. % 0.84/1.07 exact (zenon_Ha7 zenon_Ha8). % 0.84/1.07 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H2d | zenon_intro zenon_H4 ]. % 0.84/1.07 apply (zenon_L14_); trivial. % 0.84/1.07 exact (zenon_H3 zenon_H4). % 0.84/1.07 (* end of lemma zenon_L347_ *) % 0.84/1.07 assert (zenon_L348_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(hskp28)) -> (ndr1_0) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c2_1 (a614))) -> (~(hskp29)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(hskp1)) -> False). % 0.84/1.07 do 0 intro. intros zenon_Hd3 zenon_Hd7 zenon_Ha zenon_H66 zenon_H67 zenon_H68 zenon_H191 zenon_H192 zenon_H1d3 zenon_H27f zenon_H226 zenon_H225 zenon_H227 zenon_H1b8 zenon_H102 zenon_H223 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1 zenon_H1be zenon_H190 zenon_H49 zenon_H1f6 zenon_H1f4 zenon_H1d5 zenon_H1b. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.07 apply (zenon_L256_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.07 apply (zenon_L176_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H23 | zenon_intro zenon_H280 ]. % 0.84/1.07 apply (zenon_L306_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H4a ]. % 0.84/1.07 apply (zenon_L111_); trivial. % 0.84/1.07 exact (zenon_H49 zenon_H4a). % 0.84/1.07 apply (zenon_L144_); trivial. % 0.84/1.07 exact (zenon_H1b zenon_H1c). % 0.84/1.07 (* end of lemma zenon_L348_ *) % 0.84/1.07 assert (zenon_L349_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c3_1 (a595)) -> (c2_1 (a595)) -> (c1_1 (a595)) -> (ndr1_0) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp9)) -> False). % 0.84/1.07 do 0 intro. intros zenon_Hdf zenon_H68 zenon_H67 zenon_H66 zenon_Hd3 zenon_He6 zenon_He5 zenon_He4 zenon_Ha zenon_H102 zenon_H3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H8d | zenon_intro zenon_He1 ]. % 0.84/1.07 apply (zenon_L121_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H2d | zenon_intro zenon_H4 ]. % 0.84/1.07 apply (zenon_L64_); trivial. % 0.84/1.07 exact (zenon_H3 zenon_H4). % 0.84/1.07 (* end of lemma zenon_L349_ *) % 0.84/1.07 assert (zenon_L350_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H71 zenon_H104 zenon_H3 zenon_Hdf zenon_H265 zenon_H1d5 zenon_H1d3 zenon_H190 zenon_H191 zenon_H192 zenon_H27f zenon_H1f4 zenon_H1f6 zenon_H1b8 zenon_H1 zenon_H223 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H226 zenon_H225 zenon_H227 zenon_H1b zenon_H1be zenon_H233 zenon_H232 zenon_H231 zenon_H7c zenon_H7d zenon_H7e zenon_H64. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.84/1.07 apply (zenon_L220_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.84/1.07 apply (zenon_L306_); trivial. % 0.84/1.07 apply (zenon_L348_); trivial. % 0.84/1.07 apply (zenon_L231_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.84/1.07 apply (zenon_L220_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.84/1.07 apply (zenon_L306_); trivial. % 0.84/1.07 apply (zenon_L349_); trivial. % 0.84/1.07 (* end of lemma zenon_L350_ *) % 0.84/1.07 assert (zenon_L351_ : ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33)))))) -> (~(c3_1 (a614))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(hskp24)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H288 zenon_H192 zenon_H190 zenon_H8d zenon_H191 zenon_Hc6 zenon_Hc4 zenon_Ha zenon_Hd3 zenon_H1d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H289 ]. % 0.84/1.07 apply (zenon_L196_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H2d | zenon_intro zenon_H1e ]. % 0.84/1.07 apply (zenon_L51_); trivial. % 0.84/1.07 exact (zenon_H1d zenon_H1e). % 0.84/1.07 (* end of lemma zenon_L351_ *) % 0.84/1.07 assert (zenon_L352_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (~(hskp24)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c1_1 (a614)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(hskp9)) -> False). % 0.84/1.07 do 0 intro. intros zenon_Hdf zenon_H1d zenon_H191 zenon_H190 zenon_H192 zenon_H288 zenon_Hc6 zenon_Hc4 zenon_Ha zenon_Hd3 zenon_H3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H8d | zenon_intro zenon_He1 ]. % 0.84/1.07 apply (zenon_L351_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H2d | zenon_intro zenon_H4 ]. % 0.84/1.07 apply (zenon_L51_); trivial. % 0.84/1.07 exact (zenon_H3 zenon_H4). % 0.84/1.07 (* end of lemma zenon_L352_ *) % 0.84/1.07 assert (zenon_L353_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (~(hskp24)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c1_1 (a614)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1b8 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_Hdf zenon_H1d zenon_H191 zenon_H190 zenon_H192 zenon_H288 zenon_Hc6 zenon_Hc4 zenon_Ha zenon_H3. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.07 apply (zenon_L119_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.07 apply (zenon_L120_); trivial. % 0.84/1.07 apply (zenon_L352_); trivial. % 0.84/1.07 (* end of lemma zenon_L353_ *) % 0.84/1.07 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1e9 zenon_H1b8 zenon_H7e zenon_H7d zenon_H7c zenon_H1a0 zenon_H19f zenon_H19e. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_Ha. zenon_intro zenon_H1ea. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.07 apply (zenon_L30_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.07 apply (zenon_L120_); trivial. % 0.84/1.07 apply (zenon_L160_); trivial. % 0.84/1.07 (* end of lemma zenon_L354_ *) % 0.84/1.07 assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp1)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H39 zenon_H1be zenon_H17a zenon_H17b zenon_H17c zenon_H102 zenon_H190 zenon_H191 zenon_H192 zenon_H19e zenon_H19f zenon_H1a0 zenon_H22e zenon_H1b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.07 apply (zenon_L131_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.07 apply (zenon_L270_); trivial. % 0.84/1.07 exact (zenon_H1b zenon_H1c). % 0.84/1.07 (* end of lemma zenon_L355_ *) % 0.84/1.07 assert (zenon_L356_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H3e zenon_H1be zenon_H190 zenon_H191 zenon_H192 zenon_H22e zenon_H17a zenon_H17b zenon_H17c zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H1b zenon_H1d zenon_H1f. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.07 apply (zenon_L12_); trivial. % 0.84/1.07 apply (zenon_L355_); trivial. % 0.84/1.07 (* end of lemma zenon_L356_ *) % 0.84/1.07 assert (zenon_L357_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c0_1 (a603)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2)))))) -> (~(hskp1)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1be zenon_H1 zenon_H19e zenon_H19f zenon_H1a0 zenon_H66 zenon_H67 zenon_H68 zenon_H223 zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H1b8 zenon_H227 zenon_H225 zenon_H226 zenon_Ha zenon_H23 zenon_H1b. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.84/1.07 apply (zenon_L285_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.84/1.07 apply (zenon_L120_); trivial. % 0.84/1.07 apply (zenon_L256_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.07 apply (zenon_L293_); trivial. % 0.84/1.07 exact (zenon_H1b zenon_H1c). % 0.84/1.07 (* end of lemma zenon_L357_ *) % 0.84/1.07 assert (zenon_L358_ : ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(hskp1)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (~(c2_1 (a614))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H27f zenon_H1b zenon_H226 zenon_H225 zenon_H227 zenon_H1b8 zenon_H17a zenon_H17b zenon_H17c zenon_H102 zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1 zenon_H1be zenon_H192 zenon_H191 zenon_H15a zenon_H190 zenon_Ha zenon_H49. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H23 | zenon_intro zenon_H280 ]. % 0.84/1.07 apply (zenon_L357_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H4a ]. % 0.84/1.07 apply (zenon_L111_); trivial. % 0.84/1.07 exact (zenon_H49 zenon_H4a). % 0.84/1.07 (* end of lemma zenon_L358_ *) % 0.84/1.07 assert (zenon_L359_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(hskp29)) -> (~(c2_1 (a614))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c0_1 (a603)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1d5 zenon_H1f4 zenon_H1f6 zenon_H164 zenon_H49 zenon_H190 zenon_H1be zenon_H1 zenon_H19e zenon_H19f zenon_H1a0 zenon_H223 zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H1b8 zenon_H227 zenon_H225 zenon_H226 zenon_H1b zenon_H27f zenon_H1d3 zenon_H192 zenon_H191 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.07 apply (zenon_L176_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.07 apply (zenon_L358_); trivial. % 0.84/1.07 apply (zenon_L144_); trivial. % 0.84/1.07 (* end of lemma zenon_L359_ *) % 0.84/1.07 assert (zenon_L360_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (~(hskp12)) -> (ndr1_0) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (~(hskp28)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H64 zenon_Hdd zenon_H5 zenon_Ha zenon_H231 zenon_H232 zenon_H233 zenon_H1be zenon_H1b zenon_H227 zenon_H225 zenon_H226 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H223 zenon_H1 zenon_H68 zenon_H67 zenon_H66 zenon_H1b8 zenon_H1f6 zenon_H1f4 zenon_H27f zenon_H192 zenon_H191 zenon_H190 zenon_H17a zenon_H17b zenon_H17c zenon_H1d3 zenon_Hd7 zenon_H1d5 zenon_H265. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.84/1.07 apply (zenon_L220_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.84/1.07 apply (zenon_L306_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.07 apply (zenon_L256_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.07 apply (zenon_L359_); trivial. % 0.84/1.07 exact (zenon_H1b zenon_H1c). % 0.84/1.07 apply (zenon_L302_); trivial. % 0.84/1.07 (* end of lemma zenon_L360_ *) % 0.84/1.07 assert (zenon_L361_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (c3_1 (a602)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c0_1 (a602))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H1a0 zenon_H7b zenon_H19e zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.07 apply (zenon_L102_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.07 apply (zenon_L117_); trivial. % 0.84/1.07 apply (zenon_L57_); trivial. % 0.84/1.07 (* end of lemma zenon_L361_ *) % 0.84/1.07 assert (zenon_L362_ : ((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (c3_1 (a595)) -> (c2_1 (a595)) -> (c1_1 (a595)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H55 zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H226 zenon_H225 zenon_H227 zenon_H1be zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_He6 zenon_He5 zenon_He4 zenon_H190 zenon_H191 zenon_H192 zenon_H19e zenon_H19f zenon_H1a0 zenon_H22e. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.84/1.07 apply (zenon_L220_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.07 apply (zenon_L131_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.07 apply (zenon_L293_); trivial. % 0.84/1.07 exact (zenon_H1b zenon_H1c). % 0.84/1.07 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.84/1.07 apply (zenon_L102_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H22f ]. % 0.84/1.07 apply (zenon_L120_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H3f ]. % 0.84/1.07 apply (zenon_L148_); trivial. % 0.84/1.07 apply (zenon_L89_); trivial. % 0.84/1.07 apply (zenon_L229_); trivial. % 0.84/1.07 (* end of lemma zenon_L362_ *) % 0.84/1.07 assert (zenon_L363_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))) -> (c0_1 (a672)) -> (c3_1 (a672)) -> (c2_1 (a672)) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(hskp10)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H223 zenon_H192 zenon_H190 zenon_H191 zenon_H1d0 zenon_H2e zenon_H30 zenon_H2f zenon_Ha zenon_H164 zenon_H1. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H8d | zenon_intro zenon_H224 ]. % 0.84/1.07 apply (zenon_L196_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 0.84/1.07 apply (zenon_L197_); trivial. % 0.84/1.07 exact (zenon_H1 zenon_H2). % 0.84/1.07 (* end of lemma zenon_L363_ *) % 0.84/1.07 assert (zenon_L364_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c0_1 (a672)) -> (c3_1 (a672)) -> (c2_1 (a672)) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(hskp10)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H1d5 zenon_H1f4 zenon_H1f6 zenon_H15d zenon_H15c zenon_H15b zenon_H223 zenon_H192 zenon_H190 zenon_H191 zenon_H2e zenon_H30 zenon_H2f zenon_Ha zenon_H164 zenon_H1. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.07 apply (zenon_L176_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.07 apply (zenon_L95_); trivial. % 0.84/1.07 apply (zenon_L363_); trivial. % 0.84/1.07 (* end of lemma zenon_L364_ *) % 0.84/1.07 assert (zenon_L365_ : ((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c1_1 (a614)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(hskp1)) -> False). % 0.84/1.07 do 0 intro. intros zenon_H39 zenon_H1be zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H1a0 zenon_H19f zenon_H19e zenon_H168 zenon_H1 zenon_H191 zenon_H190 zenon_H192 zenon_H223 zenon_H15b zenon_H15c zenon_H15d zenon_H1f6 zenon_H1f4 zenon_H1d5 zenon_H1b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.07 apply (zenon_L320_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.07 apply (zenon_L364_); trivial. % 0.84/1.07 exact (zenon_H1b zenon_H1c). % 0.84/1.07 (* end of lemma zenon_L365_ *) % 0.84/1.07 assert (zenon_L366_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H3e zenon_H1be zenon_H1f6 zenon_H1f4 zenon_H223 zenon_H1 zenon_H192 zenon_H190 zenon_H191 zenon_H1d5 zenon_H15b zenon_H15c zenon_H15d zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H17c zenon_H17b zenon_H17a zenon_H168 zenon_H1b zenon_H1d zenon_H1f. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.07 apply (zenon_L12_); trivial. % 0.84/1.07 apply (zenon_L365_); trivial. % 0.84/1.07 (* end of lemma zenon_L366_ *) % 0.84/1.07 assert (zenon_L367_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c2_1 (a603)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H285 zenon_H1c2 zenon_Hdd zenon_H168 zenon_H171 zenon_H121 zenon_H1ef zenon_H172 zenon_H256 zenon_He0 zenon_H207 zenon_H16d zenon_H288 zenon_H3e zenon_H1be zenon_H22e zenon_H273 zenon_H209 zenon_H1de zenon_H1a0 zenon_H19f zenon_H19e zenon_Hdf zenon_H1b zenon_H1f zenon_H64 zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H223 zenon_H1b8 zenon_H27f zenon_H1d3 zenon_H1d5 zenon_H265 zenon_H104 zenon_H77 zenon_H1ec zenon_H8c zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9c zenon_H14d zenon_H97 zenon_H240 zenon_H25a zenon_H174 zenon_H1c3. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H227. zenon_intro zenon_H287. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.07 apply (zenon_L175_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.07 apply (zenon_L182_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.84/1.07 apply (zenon_L12_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.84/1.07 apply (zenon_L347_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.84/1.07 apply (zenon_L270_); trivial. % 0.84/1.07 exact (zenon_H1b zenon_H1c). % 0.84/1.07 apply (zenon_L350_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.07 apply (zenon_L353_); trivial. % 0.84/1.07 apply (zenon_L350_); trivial. % 0.84/1.07 apply (zenon_L354_); trivial. % 0.84/1.07 apply (zenon_L273_); trivial. % 0.84/1.07 apply (zenon_L292_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.07 apply (zenon_L341_); trivial. % 0.84/1.07 apply (zenon_L310_); trivial. % 0.84/1.07 apply (zenon_L244_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_Ha. zenon_intro zenon_H1c0. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H17b. zenon_intro zenon_H1c1. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.07 apply (zenon_L175_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.07 apply (zenon_L356_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.84/1.07 apply (zenon_L360_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.84/1.07 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.84/1.07 apply (zenon_L361_); trivial. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.84/1.07 apply (zenon_L358_); trivial. % 0.84/1.07 apply (zenon_L199_); trivial. % 0.84/1.07 apply (zenon_L362_); trivial. % 0.84/1.07 apply (zenon_L315_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.84/1.07 apply (zenon_L175_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.07 apply (zenon_L366_); trivial. % 0.84/1.07 apply (zenon_L340_); trivial. % 0.84/1.07 apply (zenon_L324_); trivial. % 0.84/1.07 apply (zenon_L244_); trivial. % 0.84/1.07 (* end of lemma zenon_L367_ *) % 0.84/1.07 assert (zenon_L368_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(c1_1 (a609))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H77 zenon_H104 zenon_H102 zenon_H97 zenon_H231 zenon_H232 zenon_H233 zenon_H1f4 zenon_H1f6 zenon_H133 zenon_H17 zenon_H52 zenon_H4e zenon_H4b zenon_H1f zenon_H1b zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e zenon_H1de zenon_H1dc zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H265 zenon_Hd zenon_He zenon_Hc zenon_H7c zenon_H7d zenon_H7e zenon_H121 zenon_H256 zenon_H64. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.84/1.07 apply (zenon_L250_); trivial. % 0.84/1.07 apply (zenon_L331_); trivial. % 0.84/1.07 (* end of lemma zenon_L368_ *) % 0.84/1.07 assert (zenon_L369_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H87 zenon_H76 zenon_H1ec zenon_H64 zenon_H256 zenon_H121 zenon_H265 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1de zenon_H3e zenon_H3a zenon_H1b zenon_H1f zenon_H4b zenon_H4e zenon_H52 zenon_H133 zenon_H1f6 zenon_H1f4 zenon_H233 zenon_H232 zenon_H231 zenon_H97 zenon_H102 zenon_H104 zenon_H77 zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.84/1.07 apply (zenon_L9_); trivial. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.84/1.07 apply (zenon_L368_); trivial. % 0.84/1.07 apply (zenon_L252_); trivial. % 0.84/1.07 (* end of lemma zenon_L369_ *) % 0.84/1.07 assert (zenon_L370_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H8c zenon_H121 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H19 zenon_H17 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H77 zenon_H104 zenon_H265 zenon_H102 zenon_H97 zenon_H231 zenon_H232 zenon_H233 zenon_H1de zenon_H1f4 zenon_H1f6 zenon_H133 zenon_H256 zenon_H52 zenon_H4e zenon_H4b zenon_H1f zenon_H1b zenon_H3a zenon_H3e zenon_H56 zenon_H64 zenon_H1ec zenon_H76. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.84/1.07 apply (zenon_L332_); trivial. % 0.84/1.07 apply (zenon_L369_); trivial. % 0.84/1.07 (* end of lemma zenon_L370_ *) % 0.84/1.07 assert (zenon_L371_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.84/1.07 do 0 intro. intros zenon_H155 zenon_H9c zenon_H76 zenon_H1ec zenon_H64 zenon_H56 zenon_H3e zenon_H3a zenon_H1b zenon_H1f zenon_H4e zenon_H52 zenon_H256 zenon_H133 zenon_H1f6 zenon_H1f4 zenon_H1de zenon_H233 zenon_H232 zenon_H231 zenon_H97 zenon_H102 zenon_H265 zenon_H104 zenon_H77 zenon_H17 zenon_H19 zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H121 zenon_H8c. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.84/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.84/1.07 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.84/1.07 apply (zenon_L370_); trivial. % 0.84/1.07 apply (zenon_L335_); trivial. % 0.84/1.07 (* end of lemma zenon_L371_ *) % 0.84/1.07 assert (zenon_L372_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp6))\/((ndr1_0)/\((c3_1 (a600))/\((~(c1_1 (a600)))/\(~(c2_1 (a600))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c2_1 (a603))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a602))/\((c3_1 (a602))/\(~(c0_1 (a602))))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H28a zenon_H28b zenon_H282 zenon_Hdd zenon_H273 zenon_H27f zenon_H209 zenon_H16d zenon_H174 zenon_H9c zenon_H76 zenon_H1ec zenon_H64 zenon_H56 zenon_H3a zenon_H4e zenon_H256 zenon_H133 zenon_H1de zenon_H233 zenon_H232 zenon_H231 zenon_H97 zenon_H102 zenon_H265 zenon_H19 zenon_H1f3 zenon_H8c zenon_H77 zenon_H104 zenon_H223 zenon_H1b8 zenon_H217 zenon_He0 zenon_H1d3 zenon_H1d5 zenon_H52 zenon_H3e zenon_H1da zenon_H1b zenon_H1f zenon_H105 zenon_H109 zenon_H121 zenon_H173 zenon_H207 zenon_H168 zenon_H172 zenon_H1ef zenon_H23a zenon_H23c zenon_H1c3 zenon_H25a zenon_H14d zenon_H240 zenon_H242 zenon_H22e zenon_H1be zenon_H171 zenon_Hdf zenon_H288 zenon_H1c2 zenon_H28c. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28d. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H1f5. zenon_intro zenon_H28e. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H1f4. zenon_intro zenon_H1f6. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H85 | zenon_intro zenon_H28f ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.07 apply (zenon_L326_); trivial. % 0.92/1.07 apply (zenon_L336_); trivial. % 0.92/1.07 apply (zenon_L222_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H227. zenon_intro zenon_H287. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.07 apply (zenon_L337_); trivial. % 0.92/1.07 apply (zenon_L336_); trivial. % 0.92/1.07 apply (zenon_L222_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.07 apply (zenon_L326_); trivial. % 0.92/1.07 apply (zenon_L236_); trivial. % 0.92/1.07 apply (zenon_L345_); trivial. % 0.92/1.07 apply (zenon_L244_); trivial. % 0.92/1.07 apply (zenon_L367_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Ha. zenon_intro zenon_H290. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H1c5. zenon_intro zenon_H291. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1c4. zenon_intro zenon_H25e. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.07 apply (zenon_L326_); trivial. % 0.92/1.07 apply (zenon_L371_); trivial. % 0.92/1.07 apply (zenon_L222_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H227. zenon_intro zenon_H287. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.07 apply (zenon_L337_); trivial. % 0.92/1.07 apply (zenon_L371_); trivial. % 0.92/1.07 apply (zenon_L222_); trivial. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.07 apply (zenon_L175_); trivial. % 0.92/1.07 apply (zenon_L274_); trivial. % 0.92/1.07 apply (zenon_L278_); trivial. % 0.92/1.07 apply (zenon_L345_); trivial. % 0.92/1.07 apply (zenon_L244_); trivial. % 0.92/1.07 apply (zenon_L367_); trivial. % 0.92/1.07 (* end of lemma zenon_L372_ *) % 0.92/1.07 assert (zenon_L373_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H292 zenon_Ha zenon_H293 zenon_H294 zenon_H295. % 0.92/1.07 generalize (zenon_H292 (a597)). zenon_intro zenon_H296. % 0.92/1.07 apply (zenon_imply_s _ _ zenon_H296); [ zenon_intro zenon_H9 | zenon_intro zenon_H297 ]. % 0.92/1.07 exact (zenon_H9 zenon_Ha). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H299 | zenon_intro zenon_H298 ]. % 0.92/1.07 exact (zenon_H293 zenon_H299). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29b | zenon_intro zenon_H29a ]. % 0.92/1.07 exact (zenon_H29b zenon_H294). % 0.92/1.07 exact (zenon_H29a zenon_H295). % 0.92/1.07 (* end of lemma zenon_L373_ *) % 0.92/1.07 assert (zenon_L374_ : ((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/((hskp0)\/(hskp22))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp22)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H29c zenon_H295 zenon_H294 zenon_H293 zenon_Ha zenon_H23a zenon_Hf2. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H292 | zenon_intro zenon_H29d ]. % 0.92/1.07 apply (zenon_L373_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H23b | zenon_intro zenon_Hf3 ]. % 0.92/1.07 exact (zenon_H23a zenon_H23b). % 0.92/1.07 exact (zenon_Hf2 zenon_Hf3). % 0.92/1.07 (* end of lemma zenon_L374_ *) % 0.92/1.07 assert (zenon_L375_ : (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H3f zenon_Ha zenon_H15a zenon_H293 zenon_H294 zenon_H295. % 0.92/1.07 generalize (zenon_H3f (a597)). zenon_intro zenon_H29e. % 0.92/1.07 apply (zenon_imply_s _ _ zenon_H29e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29f ]. % 0.92/1.07 exact (zenon_H9 zenon_Ha). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H298 ]. % 0.92/1.07 generalize (zenon_H15a (a597)). zenon_intro zenon_H2a1. % 0.92/1.07 apply (zenon_imply_s _ _ zenon_H2a1); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a2 ]. % 0.92/1.07 exact (zenon_H9 zenon_Ha). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2a3 ]. % 0.92/1.07 exact (zenon_H2a0 zenon_H2a4). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H299 | zenon_intro zenon_H29b ]. % 0.92/1.07 exact (zenon_H293 zenon_H299). % 0.92/1.07 exact (zenon_H29b zenon_H294). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29b | zenon_intro zenon_H29a ]. % 0.92/1.07 exact (zenon_H29b zenon_H294). % 0.92/1.07 exact (zenon_H29a zenon_H295). % 0.92/1.07 (* end of lemma zenon_L375_ *) % 0.92/1.07 assert (zenon_L376_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (~(c1_1 (a631))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H168 zenon_H295 zenon_H294 zenon_H293 zenon_H3f zenon_Hc6 zenon_Hc4 zenon_Hce zenon_Ha zenon_H1b. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.92/1.07 apply (zenon_L375_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.07 apply (zenon_L96_); trivial. % 0.92/1.07 exact (zenon_H1b zenon_H1c). % 0.92/1.07 (* end of lemma zenon_L376_ *) % 0.92/1.07 assert (zenon_L377_ : ((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H152 zenon_H2a5 zenon_H102 zenon_H19e zenon_H19f zenon_H1a0. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H10c. zenon_intro zenon_H154. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H7b | zenon_intro zenon_H2a6 ]. % 0.92/1.07 apply (zenon_L119_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H10b | zenon_intro zenon_H1b2 ]. % 0.92/1.07 apply (zenon_L70_); trivial. % 0.92/1.07 apply (zenon_L120_); trivial. % 0.92/1.07 (* end of lemma zenon_L377_ *) % 0.92/1.07 assert (zenon_L378_ : ((ndr1_0)/\((c2_1 (a602))/\((c3_1 (a602))/\(~(c0_1 (a602)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/((hskp0)\/(hskp22))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H281 zenon_H156 zenon_H2a5 zenon_H102 zenon_H293 zenon_H294 zenon_H295 zenon_H23a zenon_H29c. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.92/1.07 apply (zenon_L374_); trivial. % 0.92/1.07 apply (zenon_L377_); trivial. % 0.92/1.07 (* end of lemma zenon_L378_ *) % 0.92/1.07 assert (zenon_L379_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (c2_1 (a672)) -> (c3_1 (a672)) -> (c0_1 (a672)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(hskp1)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H168 zenon_H295 zenon_H294 zenon_H293 zenon_H2f zenon_H30 zenon_H2e zenon_Ha zenon_H3f zenon_H1b. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.92/1.07 apply (zenon_L375_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.07 apply (zenon_L269_); trivial. % 0.92/1.07 exact (zenon_H1b zenon_H1c). % 0.92/1.07 (* end of lemma zenon_L379_ *) % 0.92/1.07 assert (zenon_L380_ : ((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (~(hskp1)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H39 zenon_H2a7 zenon_H233 zenon_H232 zenon_H231 zenon_H168 zenon_H295 zenon_H294 zenon_H293 zenon_H1b. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.07 apply (zenon_L220_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.07 apply (zenon_L373_); trivial. % 0.92/1.07 apply (zenon_L379_); trivial. % 0.92/1.07 (* end of lemma zenon_L380_ *) % 0.92/1.07 assert (zenon_L381_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H3e zenon_H2a7 zenon_H168 zenon_H295 zenon_H294 zenon_H293 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1d zenon_H1f. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.92/1.07 apply (zenon_L12_); trivial. % 0.92/1.07 apply (zenon_L380_); trivial. % 0.92/1.07 (* end of lemma zenon_L381_ *) % 0.92/1.07 assert (zenon_L382_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (~(c3_1 (a597))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H15a zenon_Ha zenon_H9d zenon_H293 zenon_H295 zenon_H294. % 0.92/1.07 generalize (zenon_H15a (a597)). zenon_intro zenon_H2a1. % 0.92/1.07 apply (zenon_imply_s _ _ zenon_H2a1); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a2 ]. % 0.92/1.07 exact (zenon_H9 zenon_Ha). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2a3 ]. % 0.92/1.07 generalize (zenon_H9d (a597)). zenon_intro zenon_H2a9. % 0.92/1.07 apply (zenon_imply_s _ _ zenon_H2a9); [ zenon_intro zenon_H9 | zenon_intro zenon_H2aa ]. % 0.92/1.07 exact (zenon_H9 zenon_Ha). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H299 | zenon_intro zenon_H2ab ]. % 0.92/1.07 exact (zenon_H293 zenon_H299). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H29a ]. % 0.92/1.07 exact (zenon_H2a0 zenon_H2a4). % 0.92/1.07 exact (zenon_H29a zenon_H295). % 0.92/1.07 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H299 | zenon_intro zenon_H29b ]. % 0.92/1.07 exact (zenon_H293 zenon_H299). % 0.92/1.07 exact (zenon_H29b zenon_H294). % 0.92/1.07 (* end of lemma zenon_L382_ *) % 0.92/1.07 assert (zenon_L383_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H1d3 zenon_H294 zenon_H295 zenon_H293 zenon_H9d zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d4 ]. % 0.92/1.07 apply (zenon_L382_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H65 | zenon_intro zenon_Hd8 ]. % 0.92/1.07 apply (zenon_L26_); trivial. % 0.92/1.07 exact (zenon_Hd7 zenon_Hd8). % 0.92/1.07 (* end of lemma zenon_L383_ *) % 0.92/1.07 assert (zenon_L384_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp28)) -> (ndr1_0) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> (~(c3_1 (a597))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (~(hskp0)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H23c zenon_H233 zenon_H232 zenon_H231 zenon_Hd7 zenon_Ha zenon_H66 zenon_H67 zenon_H68 zenon_H293 zenon_H295 zenon_H294 zenon_H1d3 zenon_H23a. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H230 | zenon_intro zenon_H23d ]. % 0.92/1.07 apply (zenon_L220_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H9d | zenon_intro zenon_H23b ]. % 0.92/1.07 apply (zenon_L383_); trivial. % 0.92/1.07 exact (zenon_H23a zenon_H23b). % 0.92/1.07 (* end of lemma zenon_L384_ *) % 0.92/1.07 assert (zenon_L385_ : ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (c3_1 (a595)) -> (c2_1 (a595)) -> (c1_1 (a595)) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp8)) -> False). % 0.92/1.07 do 0 intro. intros zenon_H217 zenon_He6 zenon_He5 zenon_He4 zenon_H3f zenon_Ha zenon_Ha7 zenon_H215. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hfe | zenon_intro zenon_H218 ]. % 0.92/1.07 apply (zenon_L89_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H216 ]. % 0.92/1.07 exact (zenon_Ha7 zenon_Ha8). % 0.92/1.07 exact (zenon_H215 zenon_H216). % 0.92/1.07 (* end of lemma zenon_L385_ *) % 0.92/1.07 assert (zenon_L386_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp14)) -> (~(hskp8)) -> False). % 0.92/1.07 do 0 intro. intros zenon_Hed zenon_H2a7 zenon_H233 zenon_H232 zenon_H231 zenon_H295 zenon_H294 zenon_H293 zenon_H217 zenon_Ha7 zenon_H215. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.07 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.07 apply (zenon_L220_); trivial. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.07 apply (zenon_L373_); trivial. % 0.92/1.07 apply (zenon_L385_); trivial. % 0.92/1.07 (* end of lemma zenon_L386_ *) % 0.92/1.07 assert (zenon_L387_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H71 zenon_H104 zenon_H2a7 zenon_Ha7 zenon_H215 zenon_H217 zenon_H231 zenon_H232 zenon_H233 zenon_H1d3 zenon_H294 zenon_H295 zenon_H293 zenon_H23a zenon_H23c. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.07 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.07 apply (zenon_L384_); trivial. % 0.92/1.07 apply (zenon_L386_); trivial. % 0.92/1.07 (* end of lemma zenon_L387_ *) % 0.92/1.07 assert (zenon_L388_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> (~(hskp14)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.92/1.07 do 0 intro. intros zenon_H77 zenon_H104 zenon_Ha7 zenon_H215 zenon_H217 zenon_H1d3 zenon_H23a zenon_H23c zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H293 zenon_H294 zenon_H295 zenon_H168 zenon_H2a7 zenon_H3e. % 0.92/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.07 apply (zenon_L381_); trivial. % 0.92/1.07 apply (zenon_L387_); trivial. % 0.92/1.07 (* end of lemma zenon_L388_ *) % 0.92/1.07 assert (zenon_L389_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> (~(hskp18)) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H77 zenon_H104 zenon_Hee zenon_H53 zenon_H6f zenon_H1d3 zenon_H23a zenon_H23c zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H293 zenon_H294 zenon_H295 zenon_H168 zenon_H2a7 zenon_H3e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L381_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.08 apply (zenon_L384_); trivial. % 0.92/1.08 apply (zenon_L58_); trivial. % 0.92/1.08 (* end of lemma zenon_L389_ *) % 0.92/1.08 assert (zenon_L390_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (c2_1 (a615)) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> (~(hskp1)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H87 zenon_H256 zenon_H2a7 zenon_H233 zenon_H232 zenon_H231 zenon_H168 zenon_H295 zenon_H294 zenon_H293 zenon_Hb4 zenon_Hb3 zenon_Hb2 zenon_H1b. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.08 apply (zenon_L220_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.08 apply (zenon_L30_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.08 apply (zenon_L220_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.08 apply (zenon_L373_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.92/1.08 apply (zenon_L375_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.08 apply (zenon_L261_); trivial. % 0.92/1.08 exact (zenon_H1b zenon_H1c). % 0.92/1.08 (* end of lemma zenon_L390_ *) % 0.92/1.08 assert (zenon_L391_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H7e zenon_H7d zenon_H7c zenon_H1d3 zenon_H294 zenon_H295 zenon_H293 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.08 apply (zenon_L220_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.08 apply (zenon_L30_); trivial. % 0.92/1.08 apply (zenon_L383_); trivial. % 0.92/1.08 (* end of lemma zenon_L391_ *) % 0.92/1.08 assert (zenon_L392_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp1)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp9)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hed zenon_H265 zenon_H1b zenon_H226 zenon_H225 zenon_H227 zenon_H293 zenon_H294 zenon_H295 zenon_H168 zenon_H231 zenon_H232 zenon_H233 zenon_H2a7 zenon_Hdf zenon_H68 zenon_H67 zenon_H66 zenon_H102 zenon_H3. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.92/1.08 apply (zenon_L220_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.08 apply (zenon_L220_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.08 apply (zenon_L373_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.92/1.08 apply (zenon_L375_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.08 apply (zenon_L293_); trivial. % 0.92/1.08 exact (zenon_H1b zenon_H1c). % 0.92/1.08 apply (zenon_L349_); trivial. % 0.92/1.08 (* end of lemma zenon_L392_ *) % 0.92/1.08 assert (zenon_L393_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H3f zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.92/1.08 apply (zenon_L102_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.92/1.08 apply (zenon_L89_); trivial. % 0.92/1.08 apply (zenon_L57_); trivial. % 0.92/1.08 (* end of lemma zenon_L393_ *) % 0.92/1.08 assert (zenon_L394_ : ((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1bf zenon_H77 zenon_H104 zenon_H102 zenon_H1d3 zenon_H23a zenon_H23c zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H293 zenon_H294 zenon_H295 zenon_H168 zenon_H2a7 zenon_H3e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_Ha. zenon_intro zenon_H1c0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H17b. zenon_intro zenon_H1c1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L381_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.08 apply (zenon_L384_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.08 apply (zenon_L220_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.08 apply (zenon_L373_); trivial. % 0.92/1.08 apply (zenon_L393_); trivial. % 0.92/1.08 (* end of lemma zenon_L394_ *) % 0.92/1.08 assert (zenon_L395_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c2_1 (a603)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H285 zenon_H1c2 zenon_H77 zenon_H104 zenon_Hee zenon_H6f zenon_H1d3 zenon_H23a zenon_H23c zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H293 zenon_H294 zenon_H295 zenon_H168 zenon_H2a7 zenon_H3e zenon_H256 zenon_Hdf zenon_H102 zenon_H265 zenon_H8c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H227. zenon_intro zenon_H287. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.08 apply (zenon_L389_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L381_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.08 apply (zenon_L391_); trivial. % 0.92/1.08 apply (zenon_L392_); trivial. % 0.92/1.08 apply (zenon_L394_); trivial. % 0.92/1.08 (* end of lemma zenon_L395_ *) % 0.92/1.08 assert (zenon_L396_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c3_1 (a599)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a599))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (ndr1_0) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2ac zenon_H1f4 zenon_H7b zenon_H1f6 zenon_H192 zenon_H191 zenon_H190 zenon_Ha zenon_H293 zenon_H294 zenon_H295. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H164 | zenon_intro zenon_H2ad ]. % 0.92/1.08 apply (zenon_L176_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H292 ]. % 0.92/1.08 apply (zenon_L148_); trivial. % 0.92/1.08 apply (zenon_L373_); trivial. % 0.92/1.08 (* end of lemma zenon_L396_ *) % 0.92/1.08 assert (zenon_L397_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c3_1 (a595)) -> (c2_1 (a595)) -> (c1_1 (a595)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1d5 zenon_H1f6 zenon_H1f4 zenon_H2ac zenon_H295 zenon_H294 zenon_H293 zenon_H3f zenon_H223 zenon_H192 zenon_H190 zenon_H191 zenon_He6 zenon_He5 zenon_He4 zenon_Ha zenon_H1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.08 apply (zenon_L396_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.08 apply (zenon_L375_); trivial. % 0.92/1.08 apply (zenon_L199_); trivial. % 0.92/1.08 (* end of lemma zenon_L397_ *) % 0.92/1.08 assert (zenon_L398_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (~(hskp10)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hed zenon_H2a7 zenon_H233 zenon_H232 zenon_H231 zenon_H1d5 zenon_H1f6 zenon_H1f4 zenon_H2ac zenon_H295 zenon_H294 zenon_H293 zenon_H223 zenon_H192 zenon_H190 zenon_H191 zenon_H1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.08 apply (zenon_L220_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.08 apply (zenon_L373_); trivial. % 0.92/1.08 apply (zenon_L397_); trivial. % 0.92/1.08 (* end of lemma zenon_L398_ *) % 0.92/1.08 assert (zenon_L399_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H155 zenon_H76 zenon_H1ec zenon_H3e zenon_H2a7 zenon_H168 zenon_H295 zenon_H294 zenon_H293 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1f zenon_H256 zenon_H133 zenon_H1f6 zenon_H1f4 zenon_H1de zenon_H97 zenon_H102 zenon_H265 zenon_H104 zenon_H77 zenon_H17 zenon_H19. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.08 apply (zenon_L9_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L381_); trivial. % 0.92/1.08 apply (zenon_L331_); trivial. % 0.92/1.08 apply (zenon_L252_); trivial. % 0.92/1.08 (* end of lemma zenon_L399_ *) % 0.92/1.08 assert (zenon_L400_ : ((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H170 zenon_H174 zenon_H76 zenon_H1ec zenon_H3e zenon_H2a7 zenon_H168 zenon_H1b zenon_H1f zenon_H133 zenon_H1de zenon_H97 zenon_H102 zenon_H265 zenon_H104 zenon_H77 zenon_H17 zenon_H19 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H231 zenon_H232 zenon_H233 zenon_H2ac zenon_H295 zenon_H294 zenon_H293 zenon_H256 zenon_H1ef. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.08 apply (zenon_L175_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.08 apply (zenon_L220_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.08 apply (zenon_L396_); trivial. % 0.92/1.08 apply (zenon_L39_); trivial. % 0.92/1.08 apply (zenon_L399_); trivial. % 0.92/1.08 (* end of lemma zenon_L400_ *) % 0.92/1.08 assert (zenon_L401_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H19f zenon_H1a0 zenon_H19e zenon_H102 zenon_H1d3 zenon_H294 zenon_H295 zenon_H293 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.08 apply (zenon_L220_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.08 apply (zenon_L119_); trivial. % 0.92/1.08 apply (zenon_L383_); trivial. % 0.92/1.08 (* end of lemma zenon_L401_ *) % 0.92/1.08 assert (zenon_L402_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H177 zenon_H77 zenon_H256 zenon_H1b8 zenon_H1 zenon_H223 zenon_H1be zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H293 zenon_H294 zenon_H295 zenon_H168 zenon_H2a7 zenon_H3e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L381_); trivial. % 0.92/1.08 apply (zenon_L262_); trivial. % 0.92/1.08 (* end of lemma zenon_L402_ *) % 0.92/1.08 assert (zenon_L403_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1c3 zenon_H77 zenon_H104 zenon_H215 zenon_H217 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1d3 zenon_H256 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H293 zenon_H294 zenon_H295 zenon_H168 zenon_H2a7 zenon_H3e zenon_H1be zenon_H223 zenon_H1b8 zenon_H172. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L381_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.08 apply (zenon_L401_); trivial. % 0.92/1.08 apply (zenon_L386_); trivial. % 0.92/1.08 apply (zenon_L402_); trivial. % 0.92/1.08 apply (zenon_L244_); trivial. % 0.92/1.08 (* end of lemma zenon_L403_ *) % 0.92/1.08 assert (zenon_L404_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (~(hskp6)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> (~(hskp10)) -> (~(hskp12)) -> ((hskp10)\/((hskp12)\/(hskp18))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H8c zenon_H77 zenon_H64 zenon_H1b8 zenon_H223 zenon_H1a0 zenon_H19f zenon_H19e zenon_H85 zenon_H242 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H293 zenon_H294 zenon_H295 zenon_H168 zenon_H2a7 zenon_H3e zenon_H1 zenon_H5 zenon_H207. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.08 apply (zenon_L182_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L381_); trivial. % 0.92/1.08 apply (zenon_L232_); trivial. % 0.92/1.08 (* end of lemma zenon_L404_ *) % 0.92/1.08 assert (zenon_L405_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H155 zenon_H77 zenon_H104 zenon_H265 zenon_H97 zenon_H1b8 zenon_H1 zenon_H223 zenon_H226 zenon_H225 zenon_H227 zenon_H1be zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1d3 zenon_H256 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H293 zenon_H294 zenon_H295 zenon_H168 zenon_H2a7 zenon_H3e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L381_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.08 apply (zenon_L401_); trivial. % 0.92/1.08 apply (zenon_L308_); trivial. % 0.92/1.08 (* end of lemma zenon_L405_ *) % 0.92/1.08 assert (zenon_L406_ : ((ndr1_0)/\((c2_1 (a602))/\((c3_1 (a602))/\(~(c0_1 (a602)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c2_1 (a603))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (~(hskp6)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H281 zenon_H282 zenon_H8c zenon_H64 zenon_H85 zenon_H242 zenon_H207 zenon_H97 zenon_H265 zenon_H174 zenon_H172 zenon_H1b8 zenon_H223 zenon_H1be zenon_H3e zenon_H2a7 zenon_H168 zenon_H295 zenon_H294 zenon_H293 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1f zenon_H256 zenon_H1d3 zenon_H102 zenon_H217 zenon_H104 zenon_H77 zenon_H1c3. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.08 apply (zenon_L403_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H227. zenon_intro zenon_H287. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.08 apply (zenon_L404_); trivial. % 0.92/1.08 apply (zenon_L405_); trivial. % 0.92/1.08 apply (zenon_L244_); trivial. % 0.92/1.08 (* end of lemma zenon_L406_ *) % 0.92/1.08 assert (zenon_L407_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a600))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (ndr1_0) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2ac zenon_H1c5 zenon_H25e zenon_H230 zenon_H1c4 zenon_H192 zenon_H191 zenon_H190 zenon_Ha zenon_H293 zenon_H294 zenon_H295. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H164 | zenon_intro zenon_H2ad ]. % 0.92/1.08 apply (zenon_L245_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H292 ]. % 0.92/1.08 apply (zenon_L148_); trivial. % 0.92/1.08 apply (zenon_L373_); trivial. % 0.92/1.08 (* end of lemma zenon_L407_ *) % 0.92/1.08 assert (zenon_L408_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H256 zenon_H190 zenon_H191 zenon_H192 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H2ac zenon_H7e zenon_H7d zenon_H7c zenon_H1d3 zenon_H294 zenon_H295 zenon_H293 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.08 apply (zenon_L407_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.08 apply (zenon_L30_); trivial. % 0.92/1.08 apply (zenon_L383_); trivial. % 0.92/1.08 (* end of lemma zenon_L408_ *) % 0.92/1.08 assert (zenon_L409_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (~(hskp10)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hed zenon_H2a7 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1d5 zenon_H1f6 zenon_H1f4 zenon_H2ac zenon_H295 zenon_H294 zenon_H293 zenon_H223 zenon_H192 zenon_H190 zenon_H191 zenon_H1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.08 apply (zenon_L407_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.08 apply (zenon_L373_); trivial. % 0.92/1.08 apply (zenon_L397_); trivial. % 0.92/1.08 (* end of lemma zenon_L409_ *) % 0.92/1.08 assert (zenon_L410_ : ((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H4d zenon_H2a7 zenon_H233 zenon_H232 zenon_H231 zenon_H295 zenon_H294 zenon_H293. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.08 apply (zenon_L220_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.08 apply (zenon_L373_); trivial. % 0.92/1.08 apply (zenon_L18_); trivial. % 0.92/1.08 (* end of lemma zenon_L410_ *) % 0.92/1.08 assert (zenon_L411_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp24)) -> (~(hskp1)) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H52 zenon_H2a7 zenon_H295 zenon_H294 zenon_H293 zenon_H233 zenon_H232 zenon_H231 zenon_H1f zenon_H1d zenon_H1b zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.92/1.08 apply (zenon_L17_); trivial. % 0.92/1.08 apply (zenon_L410_); trivial. % 0.92/1.08 (* end of lemma zenon_L411_ *) % 0.92/1.08 assert (zenon_L412_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a600))) -> (~(hskp20)) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> (~(c1_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H256 zenon_H25e zenon_H1dc zenon_H24 zenon_H25 zenon_H26 zenon_H1c4 zenon_H1c5 zenon_H1de zenon_H1d3 zenon_H294 zenon_H295 zenon_H293 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.08 apply (zenon_L246_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.08 apply (zenon_L247_); trivial. % 0.92/1.08 apply (zenon_L383_); trivial. % 0.92/1.08 (* end of lemma zenon_L412_ *) % 0.92/1.08 assert (zenon_L413_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp20)) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hed zenon_H265 zenon_H1dc zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1de zenon_H26 zenon_H25 zenon_H24 zenon_H97 zenon_H68 zenon_H67 zenon_H66 zenon_He zenon_Hd zenon_Hc zenon_H102. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.92/1.08 apply (zenon_L246_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.92/1.08 apply (zenon_L13_); trivial. % 0.92/1.08 apply (zenon_L307_); trivial. % 0.92/1.08 (* end of lemma zenon_L413_ *) % 0.92/1.08 assert (zenon_L414_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H71 zenon_H104 zenon_H265 zenon_Hc zenon_Hd zenon_He zenon_H102 zenon_H97 zenon_H1de zenon_H1dc zenon_H26 zenon_H25 zenon_H24 zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H1d3 zenon_H294 zenon_H295 zenon_H293 zenon_H256. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.08 apply (zenon_L412_); trivial. % 0.92/1.08 apply (zenon_L413_); trivial. % 0.92/1.08 (* end of lemma zenon_L414_ *) % 0.92/1.08 assert (zenon_L415_ : ((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H78 zenon_H1ec zenon_H52 zenon_H2a7 zenon_H295 zenon_H294 zenon_H293 zenon_H233 zenon_H232 zenon_H231 zenon_H1f zenon_H1b zenon_H3a zenon_H3e zenon_H256 zenon_H1d3 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1de zenon_H97 zenon_H102 zenon_He zenon_Hd zenon_Hc zenon_H265 zenon_H104 zenon_H77. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L411_); trivial. % 0.92/1.08 apply (zenon_L414_); trivial. % 0.92/1.08 apply (zenon_L252_); trivial. % 0.92/1.08 (* end of lemma zenon_L415_ *) % 0.92/1.08 assert (zenon_L416_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H155 zenon_H76 zenon_H1ec zenon_H52 zenon_H2a7 zenon_H295 zenon_H294 zenon_H293 zenon_H233 zenon_H232 zenon_H231 zenon_H1f zenon_H1b zenon_H3a zenon_H3e zenon_H256 zenon_H1d3 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1de zenon_H97 zenon_H102 zenon_H265 zenon_H104 zenon_H77 zenon_H17 zenon_H19. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.08 apply (zenon_L9_); trivial. % 0.92/1.08 apply (zenon_L415_); trivial. % 0.92/1.08 (* end of lemma zenon_L416_ *) % 0.92/1.08 assert (zenon_L417_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c3_1 (a600)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a600))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (ndr1_0) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2ac zenon_H1c5 zenon_H7b zenon_H1c4 zenon_H192 zenon_H191 zenon_H190 zenon_Ha zenon_H293 zenon_H294 zenon_H295. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H164 | zenon_intro zenon_H2ad ]. % 0.92/1.08 apply (zenon_L141_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H292 ]. % 0.92/1.08 apply (zenon_L148_); trivial. % 0.92/1.08 apply (zenon_L373_); trivial. % 0.92/1.08 (* end of lemma zenon_L417_ *) % 0.92/1.08 assert (zenon_L418_ : ((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a600))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (~(c1_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1f0 zenon_H256 zenon_H25e zenon_H295 zenon_H294 zenon_H293 zenon_H1c4 zenon_H1c5 zenon_H2ac zenon_H9e zenon_H9f zenon_Ha0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.08 apply (zenon_L407_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.08 apply (zenon_L417_); trivial. % 0.92/1.08 apply (zenon_L39_); trivial. % 0.92/1.08 (* end of lemma zenon_L418_ *) % 0.92/1.08 assert (zenon_L419_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (c2_1 (a605)) -> (c0_1 (a605)) -> (~(c3_1 (a605))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1ef zenon_H256 zenon_Ha0 zenon_H9f zenon_H9e zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H293 zenon_H294 zenon_H295 zenon_H2ac zenon_Ha zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H1f3. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.08 apply (zenon_L175_); trivial. % 0.92/1.08 apply (zenon_L418_); trivial. % 0.92/1.08 (* end of lemma zenon_L419_ *) % 0.92/1.08 assert (zenon_L420_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> (~(hskp20)) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (ndr1_0) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H256 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1dc zenon_H24 zenon_H25 zenon_H26 zenon_H1f6 zenon_H1f4 zenon_H1de zenon_Ha zenon_H9e zenon_H9f zenon_Ha0. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.08 apply (zenon_L246_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.08 apply (zenon_L327_); trivial. % 0.92/1.08 apply (zenon_L39_); trivial. % 0.92/1.08 (* end of lemma zenon_L420_ *) % 0.92/1.08 assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H78 zenon_H1ec zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H1de zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H1f4 zenon_H1f6 zenon_H9e zenon_H9f zenon_Ha0 zenon_H256. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.08 apply (zenon_L420_); trivial. % 0.92/1.08 apply (zenon_L252_); trivial. % 0.92/1.08 (* end of lemma zenon_L421_ *) % 0.92/1.08 assert (zenon_L422_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H155 zenon_H76 zenon_H1ec zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H1de zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H1f4 zenon_H1f6 zenon_H9e zenon_H9f zenon_Ha0 zenon_H256 zenon_H17 zenon_H19. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.08 apply (zenon_L9_); trivial. % 0.92/1.08 apply (zenon_L421_); trivial. % 0.92/1.08 (* end of lemma zenon_L422_ *) % 0.92/1.08 assert (zenon_L423_ : ((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H170 zenon_H174 zenon_H76 zenon_H1ec zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H1de zenon_H17 zenon_H19 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H2ac zenon_H295 zenon_H294 zenon_H293 zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H256 zenon_H1ef. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.08 apply (zenon_L419_); trivial. % 0.92/1.08 apply (zenon_L422_); trivial. % 0.92/1.08 (* end of lemma zenon_L423_ *) % 0.92/1.08 assert (zenon_L424_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H256 zenon_H190 zenon_H191 zenon_H192 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H2ac zenon_H19f zenon_H1a0 zenon_H19e zenon_H102 zenon_H1d3 zenon_H294 zenon_H295 zenon_H293 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.08 apply (zenon_L407_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.08 apply (zenon_L119_); trivial. % 0.92/1.08 apply (zenon_L383_); trivial. % 0.92/1.08 (* end of lemma zenon_L424_ *) % 0.92/1.08 assert (zenon_L425_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp29))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2ae zenon_H1a0 zenon_H19f zenon_H19e zenon_H295 zenon_H294 zenon_H293 zenon_H15a zenon_Ha zenon_H49. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H2af ]. % 0.92/1.08 apply (zenon_L120_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H3f | zenon_intro zenon_H4a ]. % 0.92/1.08 apply (zenon_L375_); trivial. % 0.92/1.08 exact (zenon_H49 zenon_H4a). % 0.92/1.08 (* end of lemma zenon_L425_ *) % 0.92/1.08 assert (zenon_L426_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp29)) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp29))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a600))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H168 zenon_H49 zenon_H293 zenon_H294 zenon_H295 zenon_H19e zenon_H19f zenon_H1a0 zenon_H2ae zenon_H1c5 zenon_H25e zenon_H230 zenon_H1c4 zenon_Ha zenon_H1b. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.92/1.08 apply (zenon_L425_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.08 apply (zenon_L245_); trivial. % 0.92/1.08 exact (zenon_H1b zenon_H1c). % 0.92/1.08 (* end of lemma zenon_L426_ *) % 0.92/1.08 assert (zenon_L427_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1ef zenon_H77 zenon_H104 zenon_H64 zenon_Hdd zenon_H227 zenon_H226 zenon_H225 zenon_H2ae zenon_H1be zenon_H1d5 zenon_H223 zenon_H1 zenon_H1b8 zenon_H2ac zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1d3 zenon_H256 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H293 zenon_H294 zenon_H295 zenon_H168 zenon_H2a7 zenon_H3e zenon_Ha zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H1f3. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.08 apply (zenon_L175_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L381_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.08 apply (zenon_L424_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.08 apply (zenon_L426_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.08 apply (zenon_L373_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.92/1.08 apply (zenon_L257_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.08 apply (zenon_L176_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.08 apply (zenon_L375_); trivial. % 0.92/1.08 apply (zenon_L199_); trivial. % 0.92/1.08 exact (zenon_H1b zenon_H1c). % 0.92/1.08 apply (zenon_L302_); trivial. % 0.92/1.08 (* end of lemma zenon_L427_ *) % 0.92/1.08 assert (zenon_L428_ : ((~(hskp4))\/((ndr1_0)/\((~(c0_1 (a598)))/\((~(c1_1 (a598)))/\(~(c2_1 (a598))))))) -> ((~(hskp5))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp6))\/((ndr1_0)/\((c3_1 (a600))/\((~(c1_1 (a600)))/\(~(c2_1 (a600))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c2_1 (a603))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp7))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/((hskp0)\/(hskp22))) -> (~(hskp1)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a602))/\((c3_1 (a602))/\(~(c0_1 (a602))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2b0 zenon_H2b1 zenon_H28b zenon_Hdd zenon_H2ae zenon_H52 zenon_H3a zenon_H1c3 zenon_H1ef zenon_H2ac zenon_H223 zenon_H1d5 zenon_H207 zenon_H1f3 zenon_H19 zenon_H97 zenon_H1de zenon_H133 zenon_H1ec zenon_H76 zenon_H174 zenon_H1be zenon_H1b8 zenon_H242 zenon_H64 zenon_H172 zenon_H8c zenon_H256 zenon_Hee zenon_H3e zenon_H2a7 zenon_H1f zenon_H23c zenon_H1d3 zenon_H217 zenon_H104 zenon_H77 zenon_H265 zenon_Hdf zenon_H1c2 zenon_H282 zenon_H16d zenon_H156 zenon_H115 zenon_H168 zenon_H293 zenon_H294 zenon_H295 zenon_H23a zenon_H29c zenon_H1b zenon_Hae zenon_H102 zenon_H2a5 zenon_H28c. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b2 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.08 apply (zenon_L44_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.92/1.08 apply (zenon_L374_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H10c. zenon_intro zenon_H154. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H10b | zenon_intro zenon_H116 ]. % 0.92/1.08 apply (zenon_L70_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H3f | zenon_intro zenon_H18 ]. % 0.92/1.08 apply (zenon_L376_); trivial. % 0.92/1.08 exact (zenon_H17 zenon_H18). % 0.92/1.08 apply (zenon_L378_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H231. zenon_intro zenon_H2b4. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H232. zenon_intro zenon_H233. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H28a ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.08 apply (zenon_L388_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.08 apply (zenon_L389_); trivial. % 0.92/1.08 apply (zenon_L390_); trivial. % 0.92/1.08 apply (zenon_L395_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28d. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H1f5. zenon_intro zenon_H28e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H1f4. zenon_intro zenon_H1f6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H85 | zenon_intro zenon_H28f ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.08 apply (zenon_L175_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.08 apply (zenon_L182_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L381_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.08 apply (zenon_L391_); trivial. % 0.92/1.08 apply (zenon_L398_); trivial. % 0.92/1.08 apply (zenon_L399_); trivial. % 0.92/1.08 apply (zenon_L400_); trivial. % 0.92/1.08 apply (zenon_L406_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Ha. zenon_intro zenon_H290. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H1c5. zenon_intro zenon_H291. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1c4. zenon_intro zenon_H25e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.08 apply (zenon_L175_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.08 apply (zenon_L182_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L381_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.08 apply (zenon_L408_); trivial. % 0.92/1.08 apply (zenon_L409_); trivial. % 0.92/1.08 apply (zenon_L416_); trivial. % 0.92/1.08 apply (zenon_L423_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.08 apply (zenon_L403_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H227. zenon_intro zenon_H287. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.08 apply (zenon_L427_); trivial. % 0.92/1.08 apply (zenon_L405_); trivial. % 0.92/1.08 apply (zenon_L244_); trivial. % 0.92/1.08 (* end of lemma zenon_L428_ *) % 0.92/1.08 assert (zenon_L429_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a596))) -> (~(c1_1 (a596))) -> (c2_1 (a596)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1ba zenon_Ha zenon_H2b5 zenon_H2b6 zenon_H2b7. % 0.92/1.08 generalize (zenon_H1ba (a596)). zenon_intro zenon_H2b8. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2b8); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b9 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2ba ]. % 0.92/1.08 exact (zenon_H2b5 zenon_H2bb). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2bc ]. % 0.92/1.08 exact (zenon_H2b6 zenon_H2bd). % 0.92/1.08 exact (zenon_H2bc zenon_H2b7). % 0.92/1.08 (* end of lemma zenon_L429_ *) % 0.92/1.08 assert (zenon_L430_ : ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (c2_1 (a596)) -> (~(c1_1 (a596))) -> (~(c0_1 (a596))) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46)))))) -> (~(hskp13)) -> (~(hskp12)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1f3 zenon_H2b7 zenon_H2b6 zenon_H2b5 zenon_Ha zenon_H12e zenon_H18c zenon_H5. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ]. % 0.92/1.08 generalize (zenon_H12e (a596)). zenon_intro zenon_H2be. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2be); [ zenon_intro zenon_H9 | zenon_intro zenon_H2bf ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2c0 ]. % 0.92/1.08 exact (zenon_H2b5 zenon_H2bb). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2bc ]. % 0.92/1.08 generalize (zenon_H1f8 (a596)). zenon_intro zenon_H2c2. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2c2); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c3 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2c4 ]. % 0.92/1.08 exact (zenon_H2b6 zenon_H2bd). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2c5 ]. % 0.92/1.08 exact (zenon_H2bc zenon_H2b7). % 0.92/1.08 exact (zenon_H2c5 zenon_H2c1). % 0.92/1.08 exact (zenon_H2bc zenon_H2b7). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H18d | zenon_intro zenon_H6 ]. % 0.92/1.08 exact (zenon_H18c zenon_H18d). % 0.92/1.08 exact (zenon_H5 zenon_H6). % 0.92/1.08 (* end of lemma zenon_L430_ *) % 0.92/1.08 assert (zenon_L431_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp10)\/(hskp5))) -> (~(hskp12)) -> (~(hskp13)) -> (ndr1_0) -> (~(c0_1 (a596))) -> (~(c1_1 (a596))) -> (c2_1 (a596)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (~(hskp10)) -> (~(hskp5)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H18b zenon_H5 zenon_H18c zenon_Ha zenon_H2b5 zenon_H2b6 zenon_H2b7 zenon_H1f3 zenon_H1 zenon_H6f. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H12e | zenon_intro zenon_H75 ]. % 0.92/1.08 apply (zenon_L430_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H2 | zenon_intro zenon_H70 ]. % 0.92/1.08 exact (zenon_H1 zenon_H2). % 0.92/1.08 exact (zenon_H6f zenon_H70). % 0.92/1.08 (* end of lemma zenon_L431_ *) % 0.92/1.08 assert (zenon_L432_ : ((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> (~(hskp10)) -> (~(hskp12)) -> ((hskp10)\/((hskp12)\/(hskp18))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1f0 zenon_H8c zenon_H77 zenon_H72 zenon_H6f zenon_H52 zenon_H3e zenon_H1da zenon_H1b zenon_H1f zenon_H105 zenon_H109 zenon_H121 zenon_H173 zenon_H1 zenon_H5 zenon_H207. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.08 apply (zenon_L182_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.08 apply (zenon_L152_); trivial. % 0.92/1.08 apply (zenon_L28_); trivial. % 0.92/1.08 (* end of lemma zenon_L432_ *) % 0.92/1.08 assert (zenon_L433_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp3)) -> ((hskp30)\/((hskp3)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a596)) -> (~(c1_1 (a596))) -> (~(c0_1 (a596))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp5)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp10)\/(hskp5))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1ef zenon_H8c zenon_H77 zenon_H72 zenon_H52 zenon_H3e zenon_H1da zenon_H1b zenon_H1f zenon_H105 zenon_H109 zenon_H121 zenon_H173 zenon_H207 zenon_H1f3 zenon_H5 zenon_H2b7 zenon_H2b6 zenon_H2b5 zenon_Ha zenon_H1 zenon_H6f zenon_H18b. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.08 apply (zenon_L431_); trivial. % 0.92/1.08 apply (zenon_L432_); trivial. % 0.92/1.08 (* end of lemma zenon_L433_ *) % 0.92/1.08 assert (zenon_L434_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c2_1 (a603)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a604))/\((c2_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp14))) -> (~(hskp5)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp10)\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a667)))/\((~(c1_1 (a667)))/\(~(c3_1 (a667))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((hskp30)\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((hskp10)\/((hskp9)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H285 zenon_H1c2 zenon_H171 zenon_H172 zenon_H8c zenon_H207 zenon_H168 zenon_H1f3 zenon_H273 zenon_H6f zenon_H72 zenon_H16d zenon_H173 zenon_H121 zenon_H1d5 zenon_H209 zenon_H27f zenon_H109 zenon_H105 zenon_H1da zenon_H265 zenon_H52 zenon_H64 zenon_Hdd zenon_H1d3 zenon_H104 zenon_He0 zenon_H1ef zenon_H7 zenon_H9c zenon_H77 zenon_H256 zenon_H1b8 zenon_H223 zenon_H14d zenon_H1be zenon_H102 zenon_H233 zenon_H232 zenon_H231 zenon_H1f zenon_H1b zenon_H97 zenon_H3e zenon_H19e zenon_H19f zenon_H1a0 zenon_H240 zenon_H25a zenon_H174 zenon_H23a zenon_H23c zenon_H1c3. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H227. zenon_intro zenon_H287. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.92/1.08 apply (zenon_L312_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_Ha. zenon_intro zenon_H1c0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H17b. zenon_intro zenon_H1c1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.08 apply (zenon_L316_); trivial. % 0.92/1.08 apply (zenon_L311_); trivial. % 0.92/1.08 apply (zenon_L244_); trivial. % 0.92/1.08 (* end of lemma zenon_L434_ *) % 0.92/1.08 assert (zenon_L435_ : (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c2_1 (a594)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H9d zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2c8. % 0.92/1.08 generalize (zenon_H9d (a594)). zenon_intro zenon_H2c9. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2c9); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ca ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H2cc | zenon_intro zenon_H2cb ]. % 0.92/1.08 exact (zenon_H2c6 zenon_H2cc). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2ce | zenon_intro zenon_H2cd ]. % 0.92/1.08 exact (zenon_H2ce zenon_H2c7). % 0.92/1.08 exact (zenon_H2cd zenon_H2c8). % 0.92/1.08 (* end of lemma zenon_L435_ *) % 0.92/1.08 assert (zenon_L436_ : (forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hc0 zenon_Ha zenon_H9d zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.08 generalize (zenon_Hc0 (a594)). zenon_intro zenon_H2d0. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2d0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d1 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2d2 ]. % 0.92/1.08 apply (zenon_L435_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2ce | zenon_intro zenon_H2d3 ]. % 0.92/1.08 exact (zenon_H2ce zenon_H2c7). % 0.92/1.08 exact (zenon_H2d3 zenon_H2cf). % 0.92/1.08 (* end of lemma zenon_L436_ *) % 0.92/1.08 assert (zenon_L437_ : ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (~(hskp14)) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Ha9 zenon_Ha7 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Ha zenon_Hc0. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9d | zenon_intro zenon_Ha8 ]. % 0.92/1.08 apply (zenon_L436_); trivial. % 0.92/1.08 exact (zenon_Ha7 zenon_Ha8). % 0.92/1.08 (* end of lemma zenon_L437_ *) % 0.92/1.08 assert (zenon_L438_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (~(hskp4)) -> (~(hskp22)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hf4 zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Ha7 zenon_Ha9 zenon_Hac zenon_Hf2. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hf5 ]. % 0.92/1.08 apply (zenon_L437_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Had | zenon_intro zenon_Hf3 ]. % 0.92/1.08 exact (zenon_Hac zenon_Had). % 0.92/1.08 exact (zenon_Hf2 zenon_Hf3). % 0.92/1.08 (* end of lemma zenon_L438_ *) % 0.92/1.08 assert (zenon_L439_ : ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74)))))) -> (~(hskp28)) -> (~(hskp4)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H131 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Ha zenon_Hc0 zenon_Hd7 zenon_Hac. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H9d | zenon_intro zenon_H132 ]. % 0.92/1.08 apply (zenon_L436_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Had ]. % 0.92/1.08 exact (zenon_Hd7 zenon_Hd8). % 0.92/1.08 exact (zenon_Hac zenon_Had). % 0.92/1.08 (* end of lemma zenon_L439_ *) % 0.92/1.08 assert (zenon_L440_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp8)\/(hskp4))) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp8)) -> (~(hskp4)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2d4 zenon_Hd7 zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H131 zenon_H215 zenon_Hac. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H2d5 ]. % 0.92/1.08 apply (zenon_L439_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H216 | zenon_intro zenon_Had ]. % 0.92/1.08 exact (zenon_H215 zenon_H216). % 0.92/1.08 exact (zenon_Hac zenon_Had). % 0.92/1.08 (* end of lemma zenon_L440_ *) % 0.92/1.08 assert (zenon_L441_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp7))) -> (~(c3_1 (a644))) -> (~(c2_1 (a644))) -> (~(c0_1 (a644))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp7)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hed zenon_H115 zenon_H10e zenon_H10d zenon_H10c zenon_H215 zenon_Ha7 zenon_H217 zenon_H17. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H10b | zenon_intro zenon_H116 ]. % 0.92/1.08 apply (zenon_L70_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H3f | zenon_intro zenon_H18 ]. % 0.92/1.08 apply (zenon_L385_); trivial. % 0.92/1.08 exact (zenon_H17 zenon_H18). % 0.92/1.08 (* end of lemma zenon_L441_ *) % 0.92/1.08 assert (zenon_L442_ : (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1d0 zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.08 generalize (zenon_H1d0 (a594)). zenon_intro zenon_H2d6. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2d6); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d7 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H2cc | zenon_intro zenon_H2d2 ]. % 0.92/1.08 exact (zenon_H2c6 zenon_H2cc). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2ce | zenon_intro zenon_H2d3 ]. % 0.92/1.08 exact (zenon_H2ce zenon_H2c7). % 0.92/1.08 exact (zenon_H2d3 zenon_H2cf). % 0.92/1.08 (* end of lemma zenon_L442_ *) % 0.92/1.08 assert (zenon_L443_ : (~(hskp17)) -> (hskp17) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2d8 zenon_H2d9. % 0.92/1.08 exact (zenon_H2d8 zenon_H2d9). % 0.92/1.08 (* end of lemma zenon_L443_ *) % 0.92/1.08 assert (zenon_L444_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (~(hskp17)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hed zenon_H2da zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H2d8. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2db ]. % 0.92/1.08 apply (zenon_L442_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_He3 | zenon_intro zenon_H2d9 ]. % 0.92/1.08 apply (zenon_L57_); trivial. % 0.92/1.08 exact (zenon_H2d8 zenon_H2d9). % 0.92/1.08 (* end of lemma zenon_L444_ *) % 0.92/1.08 assert (zenon_L445_ : (forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74)))))) -> (ndr1_0) -> (~(c2_1 (a624))) -> (c0_1 (a624)) -> (c1_1 (a624)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hc0 zenon_Ha zenon_H2dc zenon_H2dd zenon_H2de. % 0.92/1.08 generalize (zenon_Hc0 (a624)). zenon_intro zenon_H2df. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2df); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e0 ]. % 0.92/1.08 exact (zenon_H9 zenon_Ha). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H2e1 ]. % 0.92/1.08 exact (zenon_H2dc zenon_H2e2). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2e3 ]. % 0.92/1.08 exact (zenon_H2e4 zenon_H2dd). % 0.92/1.08 exact (zenon_H2e3 zenon_H2de). % 0.92/1.08 (* end of lemma zenon_L445_ *) % 0.92/1.08 assert (zenon_L446_ : ((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (c2_1 (a615)) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> (~(hskp12)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2e5 zenon_He0 zenon_Hb4 zenon_Hb3 zenon_Hb2 zenon_H5. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.08 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_He2 ]. % 0.92/1.08 apply (zenon_L46_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H6 ]. % 0.92/1.08 apply (zenon_L445_); trivial. % 0.92/1.08 exact (zenon_H5 zenon_H6). % 0.92/1.08 (* end of lemma zenon_L446_ *) % 0.92/1.08 assert (zenon_L447_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H177 zenon_H2e8 zenon_He0 zenon_H5 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Hac zenon_H131 zenon_H2da zenon_H104. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_He2 ]. % 0.92/1.08 apply (zenon_L46_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H6 ]. % 0.92/1.08 apply (zenon_L439_); trivial. % 0.92/1.08 exact (zenon_H5 zenon_H6). % 0.92/1.08 apply (zenon_L444_); trivial. % 0.92/1.08 apply (zenon_L446_); trivial. % 0.92/1.08 (* end of lemma zenon_L447_ *) % 0.92/1.08 assert (zenon_L448_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> (~(hskp4)) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp8)\/(hskp4))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H172 zenon_H2e8 zenon_He0 zenon_H5 zenon_H2da zenon_Hf4 zenon_Hac zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Ha9 zenon_H2d4 zenon_H215 zenon_H131 zenon_H217 zenon_H17 zenon_H115 zenon_H104 zenon_H156. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.92/1.08 apply (zenon_L438_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H10c. zenon_intro zenon_H154. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.08 apply (zenon_L440_); trivial. % 0.92/1.08 apply (zenon_L441_); trivial. % 0.92/1.08 apply (zenon_L447_); trivial. % 0.92/1.08 (* end of lemma zenon_L448_ *) % 0.92/1.08 assert (zenon_L449_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H104 zenon_H2da zenon_H2d8 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H131 zenon_Hac zenon_He zenon_Hd zenon_Ha zenon_H17 zenon_H133. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.08 apply (zenon_L81_); trivial. % 0.92/1.08 apply (zenon_L444_); trivial. % 0.92/1.08 (* end of lemma zenon_L449_ *) % 0.92/1.08 assert (zenon_L450_ : ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> (c1_1 (a624)) -> (c0_1 (a624)) -> (~(c2_1 (a624))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp22)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hf4 zenon_H2de zenon_H2dd zenon_H2dc zenon_Ha zenon_Hac zenon_Hf2. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hf5 ]. % 0.92/1.08 apply (zenon_L445_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Had | zenon_intro zenon_Hf3 ]. % 0.92/1.08 exact (zenon_Hac zenon_Had). % 0.92/1.08 exact (zenon_Hf2 zenon_Hf3). % 0.92/1.08 (* end of lemma zenon_L450_ *) % 0.92/1.08 assert (zenon_L451_ : ((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2e5 zenon_H76 zenon_H156 zenon_H104 zenon_H52 zenon_H102 zenon_H3a zenon_H14c zenon_H131 zenon_H133 zenon_Hac zenon_Hf4 zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.09 apply (zenon_L9_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.92/1.09 apply (zenon_L450_); trivial. % 0.92/1.09 apply (zenon_L136_); trivial. % 0.92/1.09 (* end of lemma zenon_L451_ *) % 0.92/1.09 assert (zenon_L452_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H155 zenon_H2e8 zenon_H76 zenon_H156 zenon_H52 zenon_H102 zenon_H3a zenon_H14c zenon_Hf4 zenon_H19 zenon_H133 zenon_H17 zenon_Hac zenon_H131 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H2da zenon_H104. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.09 apply (zenon_L449_); trivial. % 0.92/1.09 apply (zenon_L451_); trivial. % 0.92/1.09 (* end of lemma zenon_L452_ *) % 0.92/1.09 assert (zenon_L453_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp8)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp8)\/(hskp4))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H174 zenon_H76 zenon_H52 zenon_H102 zenon_H3a zenon_H14c zenon_H19 zenon_H133 zenon_H156 zenon_H104 zenon_H115 zenon_H17 zenon_H217 zenon_H131 zenon_H215 zenon_H2d4 zenon_Ha9 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Ha zenon_Hac zenon_Hf4 zenon_H2da zenon_He0 zenon_H2e8 zenon_H172. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.09 apply (zenon_L448_); trivial. % 0.92/1.09 apply (zenon_L452_); trivial. % 0.92/1.09 (* end of lemma zenon_L453_ *) % 0.92/1.09 assert (zenon_L454_ : (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H23 zenon_Ha zenon_H9d zenon_H2c6 zenon_H2c7. % 0.92/1.09 generalize (zenon_H23 (a594)). zenon_intro zenon_H2e9. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H2e9); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ea ]. % 0.92/1.09 exact (zenon_H9 zenon_Ha). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2eb ]. % 0.92/1.09 apply (zenon_L435_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2cc | zenon_intro zenon_H2ce ]. % 0.92/1.09 exact (zenon_H2c6 zenon_H2cc). % 0.92/1.09 exact (zenon_H2ce zenon_H2c7). % 0.92/1.09 (* end of lemma zenon_L454_ *) % 0.92/1.09 assert (zenon_L455_ : ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (~(hskp14)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Ha9 zenon_Ha7 zenon_H2c7 zenon_H2c6 zenon_Ha zenon_H23. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H9d | zenon_intro zenon_Ha8 ]. % 0.92/1.09 apply (zenon_L454_); trivial. % 0.92/1.09 exact (zenon_Ha7 zenon_Ha8). % 0.92/1.09 (* end of lemma zenon_L455_ *) % 0.92/1.09 assert (zenon_L456_ : ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (~(hskp29)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H27f zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Ha7 zenon_Ha9 zenon_H49. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H23 | zenon_intro zenon_H280 ]. % 0.92/1.09 apply (zenon_L455_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H4a ]. % 0.92/1.09 apply (zenon_L437_); trivial. % 0.92/1.09 exact (zenon_H49 zenon_H4a). % 0.92/1.09 (* end of lemma zenon_L456_ *) % 0.92/1.09 assert (zenon_L457_ : ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (c3_1 (a618)) -> (c0_1 (a618)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(hskp24)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H288 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H5a zenon_H59 zenon_Ha zenon_Hd3 zenon_H1d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H289 ]. % 0.92/1.09 apply (zenon_L442_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H2d | zenon_intro zenon_H1e ]. % 0.92/1.09 apply (zenon_L248_); trivial. % 0.92/1.09 exact (zenon_H1d zenon_H1e). % 0.92/1.09 (* end of lemma zenon_L457_ *) % 0.92/1.09 assert (zenon_L458_ : ((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp24)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (~(hskp12)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H55 zenon_Hdd zenon_H227 zenon_H226 zenon_H225 zenon_H1d zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H288 zenon_H5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ]. % 0.92/1.09 apply (zenon_L205_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H6 ]. % 0.92/1.09 apply (zenon_L457_); trivial. % 0.92/1.09 exact (zenon_H5 zenon_H6). % 0.92/1.09 (* end of lemma zenon_L458_ *) % 0.92/1.09 assert (zenon_L459_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp6)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H71 zenon_H64 zenon_Hdd zenon_H5 zenon_H1 zenon_H223 zenon_H227 zenon_H226 zenon_H225 zenon_H85 zenon_H242. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.09 apply (zenon_L226_); trivial. % 0.92/1.09 apply (zenon_L302_); trivial. % 0.92/1.09 (* end of lemma zenon_L459_ *) % 0.92/1.09 assert (zenon_L460_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (c1_1 (a594)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H172 zenon_H2e8 zenon_He0 zenon_Hac zenon_H131 zenon_H2da zenon_H104 zenon_H64 zenon_Hdd zenon_H5 zenon_H288 zenon_H227 zenon_H226 zenon_H225 zenon_Ha9 zenon_H2c7 zenon_H2c6 zenon_Ha zenon_H2cf zenon_H27f zenon_H242 zenon_H85 zenon_H223 zenon_H1 zenon_H77. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.09 apply (zenon_L456_); trivial. % 0.92/1.09 apply (zenon_L458_); trivial. % 0.92/1.09 apply (zenon_L459_); trivial. % 0.92/1.09 apply (zenon_L447_); trivial. % 0.92/1.09 (* end of lemma zenon_L460_ *) % 0.92/1.09 assert (zenon_L461_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> (ndr1_0) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H172 zenon_H2e8 zenon_He0 zenon_H5 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Hac zenon_H131 zenon_H2da zenon_H104 zenon_Ha zenon_H9e zenon_H9f zenon_Ha0 zenon_Ha9. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.09 apply (zenon_L41_); trivial. % 0.92/1.09 apply (zenon_L447_); trivial. % 0.92/1.09 (* end of lemma zenon_L461_ *) % 0.92/1.09 assert (zenon_L462_ : ((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a605)) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H2e5 zenon_H76 zenon_H156 zenon_H104 zenon_H52 zenon_H102 zenon_H3a zenon_H14d zenon_H14a zenon_Ha0 zenon_H9e zenon_H9f zenon_H131 zenon_H14c zenon_Hac zenon_Hf4 zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.09 apply (zenon_L9_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.92/1.09 apply (zenon_L450_); trivial. % 0.92/1.09 apply (zenon_L93_); trivial. % 0.92/1.09 (* end of lemma zenon_L462_ *) % 0.92/1.09 assert (zenon_L463_ : ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (~(hskp4)) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp29)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H27f zenon_H26 zenon_H25 zenon_H24 zenon_Hac zenon_Hd7 zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H131 zenon_H49. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H23 | zenon_intro zenon_H280 ]. % 0.92/1.09 apply (zenon_L13_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H4a ]. % 0.92/1.09 apply (zenon_L439_); trivial. % 0.92/1.09 exact (zenon_H49 zenon_H4a). % 0.92/1.09 (* end of lemma zenon_L463_ *) % 0.92/1.09 assert (zenon_L464_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp18)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (ndr1_0) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H76 zenon_H104 zenon_H2da zenon_H2d8 zenon_H27f zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Hac zenon_H131 zenon_H53 zenon_H56 zenon_H64 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.09 apply (zenon_L9_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.09 apply (zenon_L463_); trivial. % 0.92/1.09 apply (zenon_L24_); trivial. % 0.92/1.09 apply (zenon_L444_); trivial. % 0.92/1.09 (* end of lemma zenon_L464_ *) % 0.92/1.09 assert (zenon_L465_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H87 zenon_H1d5 zenon_H15d zenon_H15c zenon_H15b zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.09 apply (zenon_L30_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.09 apply (zenon_L95_); trivial. % 0.92/1.09 apply (zenon_L442_); trivial. % 0.92/1.09 (* end of lemma zenon_L465_ *) % 0.92/1.09 assert (zenon_L466_ : ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (c1_1 (a624)) -> (c0_1 (a624)) -> (~(c2_1 (a624))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H27f zenon_H26 zenon_H25 zenon_H24 zenon_H2de zenon_H2dd zenon_H2dc zenon_Ha zenon_H49. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H23 | zenon_intro zenon_H280 ]. % 0.92/1.09 apply (zenon_L13_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H4a ]. % 0.92/1.09 apply (zenon_L445_); trivial. % 0.92/1.09 exact (zenon_H49 zenon_H4a). % 0.92/1.09 (* end of lemma zenon_L466_ *) % 0.92/1.09 assert (zenon_L467_ : ((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> (~(c2_1 (a624))) -> (c0_1 (a624)) -> (c1_1 (a624)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H78 zenon_H64 zenon_H56 zenon_H53 zenon_He zenon_Hd zenon_Hc zenon_H2dc zenon_H2dd zenon_H2de zenon_H27f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.09 apply (zenon_L466_); trivial. % 0.92/1.09 apply (zenon_L24_); trivial. % 0.92/1.09 (* end of lemma zenon_L467_ *) % 0.92/1.09 assert (zenon_L468_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (~(hskp18)) -> (~(c2_1 (a624))) -> (c0_1 (a624)) -> (c1_1 (a624)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H76 zenon_H64 zenon_H56 zenon_H53 zenon_H2dc zenon_H2dd zenon_H2de zenon_H27f zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.09 apply (zenon_L9_); trivial. % 0.92/1.09 apply (zenon_L467_); trivial. % 0.92/1.09 (* end of lemma zenon_L468_ *) % 0.92/1.09 assert (zenon_L469_ : ((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H2e5 zenon_H8c zenon_H1d5 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H15d zenon_H15c zenon_H15b zenon_H19 zenon_H17 zenon_He zenon_Hd zenon_Hc zenon_H27f zenon_H56 zenon_H64 zenon_H76. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.09 apply (zenon_L468_); trivial. % 0.92/1.09 apply (zenon_L465_); trivial. % 0.92/1.09 (* end of lemma zenon_L469_ *) % 0.92/1.09 assert (zenon_L470_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H155 zenon_H2e8 zenon_H76 zenon_H104 zenon_H2da zenon_H27f zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Hac zenon_H131 zenon_H56 zenon_H64 zenon_H17 zenon_H19 zenon_H15b zenon_H15c zenon_H15d zenon_H1d5 zenon_H8c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.09 apply (zenon_L464_); trivial. % 0.92/1.09 apply (zenon_L465_); trivial. % 0.92/1.09 apply (zenon_L469_); trivial. % 0.92/1.09 (* end of lemma zenon_L470_ *) % 0.92/1.09 assert (zenon_L471_ : ((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (c2_1 (a605)) -> (c0_1 (a605)) -> (~(c3_1 (a605))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H16c zenon_H174 zenon_H76 zenon_H27f zenon_H56 zenon_H64 zenon_H17 zenon_H19 zenon_H1d5 zenon_H8c zenon_Ha9 zenon_Ha0 zenon_H9f zenon_H9e zenon_H104 zenon_H2da zenon_H131 zenon_Hac zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_He0 zenon_H2e8 zenon_H172. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.09 apply (zenon_L461_); trivial. % 0.92/1.09 apply (zenon_L470_); trivial. % 0.92/1.09 (* end of lemma zenon_L471_ *) % 0.92/1.09 assert (zenon_L472_ : ((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H170 zenon_H171 zenon_H27f zenon_H56 zenon_H64 zenon_H1d5 zenon_H8c zenon_H172 zenon_H2e8 zenon_He0 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Hac zenon_H131 zenon_H2da zenon_H104 zenon_Ha9 zenon_H17 zenon_H133 zenon_H19 zenon_Hf4 zenon_H14c zenon_H14d zenon_H3a zenon_H102 zenon_H52 zenon_H156 zenon_H76 zenon_H174. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.09 apply (zenon_L461_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.09 apply (zenon_L449_); trivial. % 0.92/1.09 apply (zenon_L462_); trivial. % 0.92/1.09 apply (zenon_L471_); trivial. % 0.92/1.09 (* end of lemma zenon_L472_ *) % 0.92/1.09 assert (zenon_L473_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (~(hskp14)) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H156 zenon_H2a5 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_Ha9 zenon_Ha7 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Ha zenon_Hac zenon_Hf4. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.92/1.09 apply (zenon_L438_); trivial. % 0.92/1.09 apply (zenon_L377_); trivial. % 0.92/1.09 (* end of lemma zenon_L473_ *) % 0.92/1.09 assert (zenon_L474_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> (~(hskp4)) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H172 zenon_H2e8 zenon_He0 zenon_H5 zenon_H131 zenon_H2da zenon_H104 zenon_Hf4 zenon_Hac zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Ha9 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H2a5 zenon_H156. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.09 apply (zenon_L473_); trivial. % 0.92/1.09 apply (zenon_L447_); trivial. % 0.92/1.09 (* end of lemma zenon_L474_ *) % 0.92/1.09 assert (zenon_L475_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp4)) -> (~(hskp28)) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (c0_1 (a619)) -> (~(c3_1 (a619))) -> (~(c1_1 (a619))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H14d zenon_Hac zenon_Hd7 zenon_Hd zenon_He zenon_H131 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H14a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.92/1.09 apply (zenon_L80_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.92/1.09 apply (zenon_L233_); trivial. % 0.92/1.09 exact (zenon_H14a zenon_H14b). % 0.92/1.09 (* end of lemma zenon_L475_ *) % 0.92/1.09 assert (zenon_L476_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (ndr1_0) -> (~(c1_1 (a619))) -> (~(c3_1 (a619))) -> (c0_1 (a619)) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H104 zenon_H2da zenon_H2d8 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H131 zenon_Hac zenon_He zenon_Hd zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H14a zenon_H14d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.09 apply (zenon_L475_); trivial. % 0.92/1.09 apply (zenon_L444_); trivial. % 0.92/1.09 (* end of lemma zenon_L476_ *) % 0.92/1.09 assert (zenon_L477_ : ((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H2e5 zenon_H156 zenon_H2a5 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_Hac zenon_Hf4. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.92/1.09 apply (zenon_L450_); trivial. % 0.92/1.09 apply (zenon_L377_); trivial. % 0.92/1.09 (* end of lemma zenon_L477_ *) % 0.92/1.09 assert (zenon_L478_ : ((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H255 zenon_H2e8 zenon_H156 zenon_H2a5 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_Hf4 zenon_H14d zenon_H14a zenon_Hd zenon_He zenon_Hac zenon_H131 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H2da zenon_H104. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Ha. zenon_intro zenon_H257. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H24e. zenon_intro zenon_H258. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.09 apply (zenon_L476_); trivial. % 0.92/1.09 apply (zenon_L477_); trivial. % 0.92/1.09 (* end of lemma zenon_L478_ *) % 0.92/1.09 assert (zenon_L479_ : ((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H16c zenon_H1d5 zenon_H19f zenon_H1a0 zenon_H19e zenon_H102 zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.09 apply (zenon_L119_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.09 apply (zenon_L95_); trivial. % 0.92/1.09 apply (zenon_L442_); trivial. % 0.92/1.09 (* end of lemma zenon_L479_ *) % 0.92/1.09 assert (zenon_L480_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> (~(hskp4)) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H171 zenon_H1d5 zenon_H172 zenon_H2e8 zenon_He0 zenon_H131 zenon_H2da zenon_H104 zenon_Hf4 zenon_Hac zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Ha9 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H2a5 zenon_H156 zenon_H9c zenon_H2ec zenon_H105 zenon_H1 zenon_H223 zenon_H240 zenon_H14d zenon_H25a zenon_H174. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.09 apply (zenon_L474_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.09 apply (zenon_L225_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1ba | zenon_intro zenon_H2ed ]. % 0.92/1.09 apply (zenon_L275_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H106 | zenon_intro zenon_Had ]. % 0.92/1.09 exact (zenon_H105 zenon_H106). % 0.92/1.09 exact (zenon_Hac zenon_Had). % 0.92/1.09 apply (zenon_L478_); trivial. % 0.92/1.09 apply (zenon_L479_); trivial. % 0.92/1.09 (* end of lemma zenon_L480_ *) % 0.92/1.09 assert (zenon_L481_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp29))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (c2_1 (a605)) -> (~(c3_1 (a605))) -> (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47)))))) -> (c0_1 (a605)) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H2ae zenon_H1a0 zenon_H19f zenon_H19e zenon_Ha0 zenon_H9e zenon_H141 zenon_H9f zenon_Ha zenon_H49. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H2af ]. % 0.92/1.09 apply (zenon_L120_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H3f | zenon_intro zenon_H4a ]. % 0.92/1.09 apply (zenon_L86_); trivial. % 0.92/1.09 exact (zenon_H49 zenon_H4a). % 0.92/1.09 (* end of lemma zenon_L481_ *) % 0.92/1.09 assert (zenon_L482_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp4)) -> (~(hskp28)) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp29)) -> (ndr1_0) -> (c0_1 (a605)) -> (~(c3_1 (a605))) -> (c2_1 (a605)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp29))) -> (~(hskp11)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H14d zenon_Hac zenon_Hd7 zenon_Hd zenon_He zenon_H131 zenon_H49 zenon_Ha zenon_H9f zenon_H9e zenon_Ha0 zenon_H19e zenon_H19f zenon_H1a0 zenon_H2ae zenon_H14a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.92/1.09 apply (zenon_L80_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.92/1.09 apply (zenon_L481_); trivial. % 0.92/1.09 exact (zenon_H14a zenon_H14b). % 0.92/1.09 (* end of lemma zenon_L482_ *) % 0.92/1.09 assert (zenon_L483_ : ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (c3_1 (a618)) -> (c0_1 (a618)) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c1_1 (a618)) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H2da zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H5a zenon_H59 zenon_Hd3 zenon_H5b zenon_Ha zenon_H2d8. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H2db ]. % 0.92/1.09 apply (zenon_L442_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_He3 | zenon_intro zenon_H2d9 ]. % 0.92/1.09 apply (zenon_L229_); trivial. % 0.92/1.09 exact (zenon_H2d8 zenon_H2d9). % 0.92/1.09 (* end of lemma zenon_L483_ *) % 0.92/1.09 assert (zenon_L484_ : ((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (~(hskp17)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H55 zenon_H1b8 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H2da zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H2d8. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.92/1.09 apply (zenon_L119_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.92/1.09 apply (zenon_L120_); trivial. % 0.92/1.09 apply (zenon_L483_); trivial. % 0.92/1.09 (* end of lemma zenon_L484_ *) % 0.92/1.09 assert (zenon_L485_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> (~(hskp17)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (~(hskp28)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp29))) -> (c2_1 (a605)) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H64 zenon_H1b8 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H2d8 zenon_H2da zenon_H102 zenon_H131 zenon_Hac zenon_Hd7 zenon_He zenon_Hd zenon_Ha zenon_H2ae zenon_Ha0 zenon_H9e zenon_H9f zenon_H1a0 zenon_H19f zenon_H19e zenon_H14a zenon_H14d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.09 apply (zenon_L482_); trivial. % 0.92/1.09 apply (zenon_L484_); trivial. % 0.92/1.09 (* end of lemma zenon_L485_ *) % 0.92/1.09 assert (zenon_L486_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a600))) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (~(hskp20)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1de zenon_H1c5 zenon_H25e zenon_H230 zenon_H1c4 zenon_Ha zenon_H2c6 zenon_H2c7 zenon_Ha7 zenon_Ha9 zenon_H1dc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H164 | zenon_intro zenon_H1df ]. % 0.92/1.09 apply (zenon_L245_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H23 | zenon_intro zenon_H1dd ]. % 0.92/1.09 apply (zenon_L455_); trivial. % 0.92/1.09 exact (zenon_H1dc zenon_H1dd). % 0.92/1.09 (* end of lemma zenon_L486_ *) % 0.92/1.09 assert (zenon_L487_ : ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H9d zenon_Ha zenon_H49. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H23 | zenon_intro zenon_H280 ]. % 0.92/1.09 apply (zenon_L454_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H4a ]. % 0.92/1.09 apply (zenon_L436_); trivial. % 0.92/1.09 exact (zenon_H49 zenon_H4a). % 0.92/1.09 (* end of lemma zenon_L487_ *) % 0.92/1.09 assert (zenon_L488_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(hskp20)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (~(hskp14)) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H256 zenon_H1dc zenon_Ha9 zenon_Ha7 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1de zenon_H7e zenon_H7d zenon_H7c zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Ha zenon_H49. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.09 apply (zenon_L486_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.09 apply (zenon_L30_); trivial. % 0.92/1.09 apply (zenon_L487_); trivial. % 0.92/1.09 (* end of lemma zenon_L488_ *) % 0.92/1.09 assert (zenon_L489_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H71 zenon_H64 zenon_Hdd zenon_H5 zenon_H1 zenon_H223 zenon_H227 zenon_H226 zenon_H225 zenon_H1de zenon_H1dc zenon_H2c6 zenon_H2c7 zenon_Ha7 zenon_Ha9 zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H7c zenon_H7d zenon_H7e zenon_H27f zenon_H2cf zenon_H256. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.09 apply (zenon_L488_); trivial. % 0.92/1.09 apply (zenon_L302_); trivial. % 0.92/1.09 (* end of lemma zenon_L489_ *) % 0.92/1.09 assert (zenon_L490_ : ((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp12)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1e9 zenon_Hdd zenon_H227 zenon_H226 zenon_H225 zenon_H5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_Ha. zenon_intro zenon_H1ea. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hde ]. % 0.92/1.09 apply (zenon_L205_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H6 ]. % 0.92/1.09 apply (zenon_L160_); trivial. % 0.92/1.09 exact (zenon_H5 zenon_H6). % 0.92/1.09 (* end of lemma zenon_L490_ *) % 0.92/1.09 assert (zenon_L491_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((hskp10)\/((hskp12)\/(hskp18))) -> (~(hskp12)) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((c2_1 X34)\/(~(c0_1 X34))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c0_1 (a603)) -> (~(c2_1 (a603))) -> (~(c1_1 (a603))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (c1_1 (a594)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H172 zenon_H2e8 zenon_He0 zenon_Hac zenon_H131 zenon_H2da zenon_H104 zenon_H207 zenon_H5 zenon_H1 zenon_H77 zenon_Hdd zenon_H223 zenon_H227 zenon_H226 zenon_H225 zenon_H256 zenon_H2cf zenon_H27f zenon_H1c4 zenon_H25e zenon_H1c5 zenon_Ha9 zenon_H2c7 zenon_H2c6 zenon_H1de zenon_H265 zenon_H288 zenon_H64 zenon_H1ec zenon_H8c. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.09 apply (zenon_L182_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.09 apply (zenon_L488_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.09 apply (zenon_L486_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.09 apply (zenon_L30_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.92/1.09 apply (zenon_L486_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.92/1.09 apply (zenon_L454_); trivial. % 0.92/1.09 apply (zenon_L457_); trivial. % 0.92/1.09 apply (zenon_L489_); trivial. % 0.92/1.09 apply (zenon_L490_); trivial. % 0.92/1.09 apply (zenon_L447_); trivial. % 0.92/1.09 (* end of lemma zenon_L491_ *) % 0.92/1.09 assert (zenon_L492_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a600))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H209 zenon_H1c5 zenon_H25e zenon_H230 zenon_H1c4 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Ha zenon_Haa. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H164 | zenon_intro zenon_H20a ]. % 0.92/1.09 apply (zenon_L245_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1d0 | zenon_intro zenon_Hab ]. % 0.92/1.09 apply (zenon_L442_); trivial. % 0.92/1.09 exact (zenon_Haa zenon_Hab). % 0.92/1.09 (* end of lemma zenon_L492_ *) % 0.92/1.09 assert (zenon_L493_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(hskp21)) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H256 zenon_Haa zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H209 zenon_H19f zenon_H1a0 zenon_H19e zenon_H102 zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Ha zenon_H49. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.09 apply (zenon_L492_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.09 apply (zenon_L119_); trivial. % 0.92/1.09 apply (zenon_L487_); trivial. % 0.92/1.09 (* end of lemma zenon_L493_ *) % 0.92/1.09 assert (zenon_L494_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (c0_1 (a631)) -> (c3_1 (a631)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H97 zenon_H90 zenon_H8f zenon_H8e zenon_He zenon_Hd zenon_Hc zenon_Hd3 zenon_Ha zenon_Hc4 zenon_Hc6. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8d | zenon_intro zenon_H98 ]. % 0.92/1.09 apply (zenon_L34_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.92/1.09 apply (zenon_L6_); trivial. % 0.92/1.09 apply (zenon_L51_); trivial. % 0.92/1.09 (* end of lemma zenon_L494_ *) % 0.92/1.09 assert (zenon_L495_ : ((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H167 zenon_H1b8 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H97 zenon_H90 zenon_H8f zenon_H8e zenon_He zenon_Hd zenon_Hc. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.92/1.09 apply (zenon_L119_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.92/1.09 apply (zenon_L120_); trivial. % 0.92/1.09 apply (zenon_L494_); trivial. % 0.92/1.09 (* end of lemma zenon_L495_ *) % 0.92/1.09 assert (zenon_L496_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a620))) -> (~(c2_1 (a620))) -> (c1_1 (a620)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (ndr1_0) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp18)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H16d zenon_H1b8 zenon_H8e zenon_H8f zenon_H90 zenon_H97 zenon_H256 zenon_H27f zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_Ha zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H209 zenon_Hc zenon_Hd zenon_He zenon_H53 zenon_H56 zenon_H64. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.09 apply (zenon_L493_); trivial. % 0.92/1.09 apply (zenon_L24_); trivial. % 0.92/1.09 apply (zenon_L495_); trivial. % 0.92/1.09 (* end of lemma zenon_L496_ *) % 0.92/1.09 assert (zenon_L497_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(hskp21)) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H256 zenon_Haa zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H209 zenon_H7e zenon_H7d zenon_H7c zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Ha zenon_H49. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.09 apply (zenon_L492_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.09 apply (zenon_L30_); trivial. % 0.92/1.09 apply (zenon_L487_); trivial. % 0.92/1.09 (* end of lemma zenon_L497_ *) % 0.92/1.09 assert (zenon_L498_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> (c3_1 (a618)) -> (c0_1 (a618)) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c1_1 (a618)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H223 zenon_H90 zenon_H8f zenon_H8e zenon_H5a zenon_H59 zenon_Hd3 zenon_H5b zenon_Ha zenon_H1. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H8d | zenon_intro zenon_H224 ]. % 0.92/1.09 apply (zenon_L34_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 0.92/1.09 apply (zenon_L229_); trivial. % 0.92/1.09 exact (zenon_H1 zenon_H2). % 0.92/1.09 (* end of lemma zenon_L498_ *) % 0.92/1.09 assert (zenon_L499_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp21)) -> (c1_1 (a594)) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> (c3_1 (a618)) -> (c0_1 (a618)) -> (c1_1 (a618)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H265 zenon_Haa zenon_H2cf zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H209 zenon_H2c7 zenon_H2c6 zenon_H9d zenon_H223 zenon_H90 zenon_H8f zenon_H8e zenon_H5a zenon_H59 zenon_H5b zenon_Ha zenon_H1. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.92/1.09 apply (zenon_L492_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.92/1.09 apply (zenon_L454_); trivial. % 0.92/1.09 apply (zenon_L498_); trivial. % 0.92/1.09 (* end of lemma zenon_L499_ *) % 0.92/1.09 assert (zenon_L500_ : ((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp21)) -> (c1_1 (a594)) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> (~(hskp10)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H55 zenon_H256 zenon_H7e zenon_H7d zenon_H7c zenon_H265 zenon_Haa zenon_H2cf zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H209 zenon_H2c7 zenon_H2c6 zenon_H223 zenon_H90 zenon_H8f zenon_H8e zenon_H1. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.09 apply (zenon_L492_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.09 apply (zenon_L30_); trivial. % 0.92/1.09 apply (zenon_L499_); trivial. % 0.92/1.09 (* end of lemma zenon_L500_ *) % 0.92/1.09 assert (zenon_L501_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> (ndr1_0) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H64 zenon_H223 zenon_H1 zenon_H90 zenon_H8f zenon_H8e zenon_H265 zenon_H209 zenon_Haa zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H1c5 zenon_H25e zenon_H1c4 zenon_Ha zenon_H7c zenon_H7d zenon_H7e zenon_H27f zenon_H256. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.09 apply (zenon_L497_); trivial. % 0.92/1.09 apply (zenon_L500_); trivial. % 0.92/1.09 (* end of lemma zenon_L501_ *) % 0.92/1.09 assert (zenon_L502_ : ((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H99 zenon_H8c zenon_H265 zenon_H1 zenon_H223 zenon_H64 zenon_H56 zenon_He zenon_Hd zenon_Hc zenon_H209 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H27f zenon_H256 zenon_H97 zenon_H1b8 zenon_H16d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.09 apply (zenon_L496_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.09 apply (zenon_L501_); trivial. % 0.92/1.09 apply (zenon_L495_); trivial. % 0.92/1.09 (* end of lemma zenon_L502_ *) % 0.92/1.09 assert (zenon_L503_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9c zenon_H8c zenon_H265 zenon_H1 zenon_H223 zenon_H64 zenon_H56 zenon_He zenon_Hd zenon_Hc zenon_H209 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H102 zenon_H27f zenon_H256 zenon_H97 zenon_H1b8 zenon_H16d zenon_Ha zenon_H19e zenon_H19f zenon_H1a0 zenon_H23e zenon_H240. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.09 apply (zenon_L225_); trivial. % 0.92/1.09 apply (zenon_L502_); trivial. % 0.92/1.09 (* end of lemma zenon_L503_ *) % 0.92/1.09 assert (zenon_L504_ : ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (c3_1 (a631)) -> (c0_1 (a631)) -> (ndr1_0) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp24)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H288 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Hc6 zenon_Hc4 zenon_Ha zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H1b8 zenon_H1d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H289 ]. % 0.92/1.09 apply (zenon_L442_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H2d | zenon_intro zenon_H1e ]. % 0.92/1.09 apply (zenon_L122_); trivial. % 0.92/1.09 exact (zenon_H1d zenon_H1e). % 0.92/1.09 (* end of lemma zenon_L504_ *) % 0.92/1.09 assert (zenon_L505_ : ((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H167 zenon_H77 zenon_Hc zenon_Hd zenon_He zenon_H97 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H1b8 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H288. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.09 apply (zenon_L504_); trivial. % 0.92/1.09 apply (zenon_L124_); trivial. % 0.92/1.09 (* end of lemma zenon_L505_ *) % 0.92/1.09 assert (zenon_L506_ : ((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(c1_1 (a609))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H255 zenon_H16d zenon_H77 zenon_Hc zenon_H97 zenon_H1b8 zenon_H288 zenon_H209 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H14d zenon_H14a zenon_He zenon_Hd zenon_H256. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Ha. zenon_intro zenon_H257. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H24e. zenon_intro zenon_H258. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.09 apply (zenon_L492_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.09 apply (zenon_L119_); trivial. % 0.92/1.09 apply (zenon_L234_); trivial. % 0.92/1.09 apply (zenon_L505_); trivial. % 0.92/1.09 (* end of lemma zenon_L506_ *) % 0.92/1.09 assert (zenon_L507_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> (~(hskp4)) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H171 zenon_H1d5 zenon_H172 zenon_H2e8 zenon_He0 zenon_H131 zenon_H2da zenon_H104 zenon_Hf4 zenon_Hac zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Ha9 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H2a5 zenon_H156 zenon_H9c zenon_H8c zenon_H265 zenon_H1 zenon_H223 zenon_H64 zenon_H56 zenon_H209 zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H27f zenon_H256 zenon_H97 zenon_H1b8 zenon_H16d zenon_H240 zenon_H14d zenon_H288 zenon_H77 zenon_H25a zenon_H174. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.09 apply (zenon_L474_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.09 apply (zenon_L503_); trivial. % 0.92/1.09 apply (zenon_L506_); trivial. % 0.92/1.09 apply (zenon_L479_); trivial. % 0.92/1.09 (* end of lemma zenon_L507_ *) % 0.92/1.09 assert (zenon_L508_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9c zenon_H8c zenon_H9e zenon_H9f zenon_Ha0 zenon_H64 zenon_H56 zenon_He zenon_Hd zenon_Hc zenon_H209 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H102 zenon_H27f zenon_H256 zenon_H97 zenon_H1b8 zenon_H16d zenon_Ha zenon_H19e zenon_H19f zenon_H1a0 zenon_H23e zenon_H240. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.09 apply (zenon_L225_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.09 apply (zenon_L496_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.09 apply (zenon_L492_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.09 apply (zenon_L30_); trivial. % 0.92/1.09 apply (zenon_L39_); trivial. % 0.92/1.09 apply (zenon_L495_); trivial. % 0.92/1.09 (* end of lemma zenon_L508_ *) % 0.92/1.09 assert (zenon_L509_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (c2_1 (a605)) -> (c0_1 (a605)) -> (~(c3_1 (a605))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c2_1 X73))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H174 zenon_H25a zenon_H77 zenon_H288 zenon_H14d zenon_H14a zenon_H240 zenon_H16d zenon_H1b8 zenon_H97 zenon_H256 zenon_H27f zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H209 zenon_H56 zenon_H64 zenon_Ha0 zenon_H9f zenon_H9e zenon_H8c zenon_H9c zenon_H156 zenon_H2a5 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_Ha9 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Ha zenon_Hac zenon_Hf4 zenon_H104 zenon_H2da zenon_H131 zenon_He0 zenon_H2e8 zenon_H172. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.09 apply (zenon_L474_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.09 apply (zenon_L508_); trivial. % 0.92/1.09 apply (zenon_L506_); trivial. % 0.92/1.09 (* end of lemma zenon_L509_ *) % 0.92/1.09 assert (zenon_L510_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp29)) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(hskp0)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H23c zenon_H233 zenon_H232 zenon_H231 zenon_H49 zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H27f zenon_H23a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H230 | zenon_intro zenon_H23d ]. % 0.92/1.09 apply (zenon_L220_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H9d | zenon_intro zenon_H23b ]. % 0.92/1.09 apply (zenon_L487_); trivial. % 0.92/1.09 exact (zenon_H23a zenon_H23b). % 0.92/1.09 (* end of lemma zenon_L510_ *) % 0.92/1.09 assert (zenon_L511_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2)))))) -> (~(hskp0)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H23c zenon_H233 zenon_H232 zenon_H231 zenon_H2c7 zenon_H2c6 zenon_Ha zenon_H23 zenon_H23a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H230 | zenon_intro zenon_H23d ]. % 0.92/1.09 apply (zenon_L220_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H9d | zenon_intro zenon_H23b ]. % 0.92/1.09 apply (zenon_L454_); trivial. % 0.92/1.09 exact (zenon_H23a zenon_H23b). % 0.92/1.09 (* end of lemma zenon_L511_ *) % 0.92/1.09 assert (zenon_L512_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp17)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H64 zenon_H265 zenon_H2d8 zenon_H2da zenon_Ha zenon_H231 zenon_H232 zenon_H233 zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H23a zenon_H23c. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.09 apply (zenon_L510_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.92/1.09 apply (zenon_L220_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.92/1.09 apply (zenon_L511_); trivial. % 0.92/1.09 apply (zenon_L483_); trivial. % 0.92/1.09 (* end of lemma zenon_L512_ *) % 0.92/1.09 assert (zenon_L513_ : ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> (c3_1 (a618)) -> (c0_1 (a618)) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c1_1 (a618)) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp18)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hee zenon_H5a zenon_H59 zenon_Hd3 zenon_H5b zenon_Ha zenon_H6f zenon_H53. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf1 ]. % 0.92/1.09 apply (zenon_L229_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H70 | zenon_intro zenon_H54 ]. % 0.92/1.09 exact (zenon_H6f zenon_H70). % 0.92/1.09 exact (zenon_H53 zenon_H54). % 0.92/1.09 (* end of lemma zenon_L513_ *) % 0.92/1.09 assert (zenon_L514_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp5)) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H64 zenon_H265 zenon_H6f zenon_H53 zenon_Hee zenon_Ha zenon_H231 zenon_H232 zenon_H233 zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H23a zenon_H23c. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.09 apply (zenon_L510_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.92/1.09 apply (zenon_L220_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.92/1.09 apply (zenon_L511_); trivial. % 0.92/1.09 apply (zenon_L513_); trivial. % 0.92/1.09 (* end of lemma zenon_L514_ *) % 0.92/1.09 assert (zenon_L515_ : ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (c1_1 (a624)) -> (c0_1 (a624)) -> (~(c2_1 (a624))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H27f zenon_H2c7 zenon_H2c6 zenon_H9d zenon_H2de zenon_H2dd zenon_H2dc zenon_Ha zenon_H49. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H23 | zenon_intro zenon_H280 ]. % 0.92/1.09 apply (zenon_L454_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H4a ]. % 0.92/1.09 apply (zenon_L445_); trivial. % 0.92/1.09 exact (zenon_H49 zenon_H4a). % 0.92/1.09 (* end of lemma zenon_L515_ *) % 0.92/1.09 assert (zenon_L516_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (c1_1 (a624)) -> (c0_1 (a624)) -> (~(c2_1 (a624))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H7e zenon_H7d zenon_H7c zenon_H27f zenon_H2c7 zenon_H2c6 zenon_H2de zenon_H2dd zenon_H2dc zenon_Ha zenon_H49. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.09 apply (zenon_L220_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.09 apply (zenon_L30_); trivial. % 0.92/1.09 apply (zenon_L515_); trivial. % 0.92/1.09 (* end of lemma zenon_L516_ *) % 0.92/1.09 assert (zenon_L517_ : ((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp0)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (~(hskp24)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H55 zenon_H265 zenon_H23a zenon_H231 zenon_H232 zenon_H233 zenon_H23c zenon_H288 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H1d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.92/1.09 apply (zenon_L220_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.92/1.09 apply (zenon_L511_); trivial. % 0.92/1.09 apply (zenon_L457_); trivial. % 0.92/1.09 (* end of lemma zenon_L517_ *) % 0.92/1.09 assert (zenon_L518_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (c3_1 (a618)) -> (c0_1 (a618)) -> (c1_1 (a618)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H2c7 zenon_H2c6 zenon_H9d zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_H5a zenon_H59 zenon_H5b zenon_Ha zenon_H1. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.92/1.09 apply (zenon_L220_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.92/1.09 apply (zenon_L454_); trivial. % 0.92/1.09 apply (zenon_L230_); trivial. % 0.92/1.09 (* end of lemma zenon_L518_ *) % 0.92/1.09 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (~(hskp10)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H55 zenon_H256 zenon_H7e zenon_H7d zenon_H7c zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H2c7 zenon_H2c6 zenon_H223 zenon_H68 zenon_H67 zenon_H66 zenon_H1. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.09 apply (zenon_L220_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.09 apply (zenon_L30_); trivial. % 0.92/1.09 apply (zenon_L518_); trivial. % 0.92/1.09 (* end of lemma zenon_L519_ *) % 0.92/1.09 assert (zenon_L520_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H71 zenon_H64 zenon_H256 zenon_H223 zenon_H1 zenon_H265 zenon_H7e zenon_H7d zenon_H7c zenon_H231 zenon_H232 zenon_H233 zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H23a zenon_H23c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.09 apply (zenon_L510_); trivial. % 0.92/1.09 apply (zenon_L519_); trivial. % 0.92/1.09 (* end of lemma zenon_L520_ *) % 0.92/1.09 assert (zenon_L521_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (ndr1_0) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H2e8 zenon_H8c zenon_H77 zenon_H223 zenon_H1 zenon_H256 zenon_H288 zenon_Hee zenon_H6f zenon_H23c zenon_H23a zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H27f zenon_H233 zenon_H232 zenon_H231 zenon_Ha zenon_H2da zenon_H265 zenon_H64. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.09 apply (zenon_L512_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.09 apply (zenon_L514_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.09 apply (zenon_L516_); trivial. % 0.92/1.09 apply (zenon_L517_); trivial. % 0.92/1.09 apply (zenon_L520_); trivial. % 0.92/1.09 (* end of lemma zenon_L521_ *) % 0.92/1.09 assert (zenon_L522_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H87 zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H9e zenon_H9f zenon_Ha0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.09 apply (zenon_L220_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.09 apply (zenon_L30_); trivial. % 0.92/1.09 apply (zenon_L39_); trivial. % 0.92/1.09 (* end of lemma zenon_L522_ *) % 0.92/1.09 assert (zenon_L523_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(hskp0)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (c3_1 (a618)) -> (c0_1 (a618)) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H265 zenon_H3a zenon_H23a zenon_H2c6 zenon_H2c7 zenon_H231 zenon_H232 zenon_H233 zenon_H23c zenon_H5a zenon_H59 zenon_Ha zenon_H37. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.92/1.09 apply (zenon_L220_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.92/1.09 apply (zenon_L511_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H23 | zenon_intro zenon_H3d ]. % 0.92/1.10 apply (zenon_L511_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H2d | zenon_intro zenon_H38 ]. % 0.92/1.10 apply (zenon_L248_); trivial. % 0.92/1.10 exact (zenon_H37 zenon_H38). % 0.92/1.10 (* end of lemma zenon_L523_ *) % 0.92/1.10 assert (zenon_L524_ : ((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp0)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c0_1 (a618)) -> (c3_1 (a618)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H4d zenon_H265 zenon_H23a zenon_H2c6 zenon_H2c7 zenon_H231 zenon_H232 zenon_H233 zenon_H23c zenon_H1da zenon_H192 zenon_H191 zenon_H190 zenon_H59 zenon_H5a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.92/1.10 apply (zenon_L511_); trivial. % 0.92/1.10 apply (zenon_L297_); trivial. % 0.92/1.10 (* end of lemma zenon_L524_ *) % 0.92/1.10 assert (zenon_L525_ : ((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H55 zenon_H52 zenon_H190 zenon_H191 zenon_H192 zenon_H1da zenon_H231 zenon_H232 zenon_H233 zenon_H23c zenon_H23a zenon_H2c7 zenon_H2c6 zenon_H3a zenon_H265. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.92/1.10 apply (zenon_L523_); trivial. % 0.92/1.10 apply (zenon_L524_); trivial. % 0.92/1.10 (* end of lemma zenon_L525_ *) % 0.92/1.10 assert (zenon_L526_ : ((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1f0 zenon_H64 zenon_H52 zenon_H1da zenon_H3a zenon_H265 zenon_H231 zenon_H232 zenon_H233 zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H23a zenon_H23c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.10 apply (zenon_L510_); trivial. % 0.92/1.10 apply (zenon_L525_); trivial. % 0.92/1.10 (* end of lemma zenon_L526_ *) % 0.92/1.10 assert (zenon_L527_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1ef zenon_H64 zenon_H52 zenon_H1da zenon_H3a zenon_H265 zenon_H231 zenon_H232 zenon_H233 zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H23a zenon_H23c zenon_Ha zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H1f3. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.10 apply (zenon_L175_); trivial. % 0.92/1.10 apply (zenon_L526_); trivial. % 0.92/1.10 (* end of lemma zenon_L527_ *) % 0.92/1.10 assert (zenon_L528_ : ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (c1_1 (a595)) -> (c3_1 (a595)) -> (c2_1 (a595)) -> (ndr1_0) -> (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52)))))) -> (~(hskp24)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H288 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_He4 zenon_He6 zenon_He5 zenon_Ha zenon_Hfa zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H289 ]. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H2d | zenon_intro zenon_H1e ]. % 0.92/1.10 apply (zenon_L62_); trivial. % 0.92/1.10 exact (zenon_H1d zenon_H1e). % 0.92/1.10 (* end of lemma zenon_L528_ *) % 0.92/1.10 assert (zenon_L529_ : ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (c1_1 (a595)) -> (c3_1 (a595)) -> (c2_1 (a595)) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (~(hskp24)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H288 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_He4 zenon_He6 zenon_He5 zenon_Ha zenon_Hfe zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H289 ]. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H2d | zenon_intro zenon_H1e ]. % 0.92/1.10 apply (zenon_L63_); trivial. % 0.92/1.10 exact (zenon_H1d zenon_H1e). % 0.92/1.10 (* end of lemma zenon_L529_ *) % 0.92/1.10 assert (zenon_L530_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp24)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hed zenon_H102 zenon_H1d zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H288. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.92/1.10 apply (zenon_L528_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.92/1.10 apply (zenon_L529_); trivial. % 0.92/1.10 apply (zenon_L57_); trivial. % 0.92/1.10 (* end of lemma zenon_L530_ *) % 0.92/1.10 assert (zenon_L531_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> (~(hskp20)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> (~(c2_1 (a624))) -> (c0_1 (a624)) -> (c1_1 (a624)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H71 zenon_H64 zenon_H256 zenon_H2c6 zenon_H2c7 zenon_H223 zenon_H1 zenon_H265 zenon_H1f6 zenon_H1f4 zenon_H1dc zenon_H1de zenon_H233 zenon_H232 zenon_H231 zenon_H24 zenon_H25 zenon_H26 zenon_H2dc zenon_H2dd zenon_H2de zenon_H27f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.10 apply (zenon_L466_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.10 apply (zenon_L327_); trivial. % 0.92/1.10 apply (zenon_L518_); trivial. % 0.92/1.10 (* end of lemma zenon_L531_ *) % 0.92/1.10 assert (zenon_L532_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H174 zenon_H2e8 zenon_H76 zenon_H1ec zenon_H104 zenon_H102 zenon_H288 zenon_H1de zenon_H133 zenon_H256 zenon_H1 zenon_H223 zenon_H77 zenon_H17 zenon_H19 zenon_H2da zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Ha zenon_H23c zenon_H23a zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H27f zenon_H233 zenon_H232 zenon_H231 zenon_H265 zenon_H3a zenon_H1da zenon_H52 zenon_H64 zenon_H1ef. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.10 apply (zenon_L527_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.10 apply (zenon_L512_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.10 apply (zenon_L9_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.10 apply (zenon_L329_); trivial. % 0.92/1.10 apply (zenon_L530_); trivial. % 0.92/1.10 apply (zenon_L531_); trivial. % 0.92/1.10 apply (zenon_L252_); trivial. % 0.92/1.10 (* end of lemma zenon_L532_ *) % 0.92/1.10 assert (zenon_L533_ : ((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H78 zenon_H1ec zenon_H265 zenon_H231 zenon_H232 zenon_H233 zenon_H1de zenon_H1f4 zenon_H1f6 zenon_H9e zenon_H9f zenon_Ha0 zenon_H256. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.10 apply (zenon_L327_); trivial. % 0.92/1.10 apply (zenon_L39_); trivial. % 0.92/1.10 apply (zenon_L252_); trivial. % 0.92/1.10 (* end of lemma zenon_L533_ *) % 0.92/1.10 assert (zenon_L534_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H155 zenon_H76 zenon_H1ec zenon_H265 zenon_H231 zenon_H232 zenon_H233 zenon_H1de zenon_H1f4 zenon_H1f6 zenon_H9e zenon_H9f zenon_Ha0 zenon_H256 zenon_H17 zenon_H19. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.10 apply (zenon_L9_); trivial. % 0.92/1.10 apply (zenon_L533_); trivial. % 0.92/1.10 (* end of lemma zenon_L534_ *) % 0.92/1.10 assert (zenon_L535_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H19f zenon_H1a0 zenon_H19e zenon_H102 zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Ha zenon_H49. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.10 apply (zenon_L119_); trivial. % 0.92/1.10 apply (zenon_L487_); trivial. % 0.92/1.10 (* end of lemma zenon_L535_ *) % 0.92/1.10 assert (zenon_L536_ : ((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1f0 zenon_H64 zenon_H52 zenon_H22e zenon_H23c zenon_H23a zenon_H3a zenon_H265 zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H256. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.10 apply (zenon_L535_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.92/1.10 apply (zenon_L523_); trivial. % 0.92/1.10 apply (zenon_L216_); trivial. % 0.92/1.10 (* end of lemma zenon_L536_ *) % 0.92/1.10 assert (zenon_L537_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1ef zenon_H64 zenon_H52 zenon_H22e zenon_H23c zenon_H23a zenon_H3a zenon_H265 zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H256 zenon_Ha zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H1f3. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.10 apply (zenon_L175_); trivial. % 0.92/1.10 apply (zenon_L536_); trivial. % 0.92/1.10 (* end of lemma zenon_L537_ *) % 0.92/1.10 assert (zenon_L538_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> (ndr1_0) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H64 zenon_H56 zenon_H53 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H256. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.10 apply (zenon_L535_); trivial. % 0.92/1.10 apply (zenon_L24_); trivial. % 0.92/1.10 (* end of lemma zenon_L538_ *) % 0.92/1.10 assert (zenon_L539_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> (c3_1 (a618)) -> (c0_1 (a618)) -> (c1_1 (a618)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H2c7 zenon_H2c6 zenon_H9d zenon_H223 zenon_H90 zenon_H8f zenon_H8e zenon_H5a zenon_H59 zenon_H5b zenon_Ha zenon_H1. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.92/1.10 apply (zenon_L454_); trivial. % 0.92/1.10 apply (zenon_L498_); trivial. % 0.92/1.10 (* end of lemma zenon_L539_ *) % 0.92/1.10 assert (zenon_L540_ : ((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> (~(hskp10)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H55 zenon_H256 zenon_H7e zenon_H7d zenon_H7c zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H2c7 zenon_H2c6 zenon_H223 zenon_H90 zenon_H8f zenon_H8e zenon_H1. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.10 apply (zenon_L30_); trivial. % 0.92/1.10 apply (zenon_L539_); trivial. % 0.92/1.10 (* end of lemma zenon_L540_ *) % 0.92/1.10 assert (zenon_L541_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H87 zenon_H64 zenon_H223 zenon_H1 zenon_H90 zenon_H8f zenon_H8e zenon_H265 zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H256. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.10 apply (zenon_L535_); trivial. % 0.92/1.10 apply (zenon_L540_); trivial. % 0.92/1.10 (* end of lemma zenon_L541_ *) % 0.92/1.10 assert (zenon_L542_ : ((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H99 zenon_H8c zenon_H223 zenon_H1 zenon_H265 zenon_H256 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H27f zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H233 zenon_H232 zenon_H231 zenon_Hc zenon_Hd zenon_He zenon_H56 zenon_H64. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.10 apply (zenon_L538_); trivial. % 0.92/1.10 apply (zenon_L541_); trivial. % 0.92/1.10 (* end of lemma zenon_L542_ *) % 0.92/1.10 assert (zenon_L543_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H9c zenon_H8c zenon_H223 zenon_H1 zenon_H265 zenon_H256 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H27f zenon_H102 zenon_H233 zenon_H232 zenon_H231 zenon_Hc zenon_Hd zenon_He zenon_H56 zenon_H64 zenon_Ha zenon_H19e zenon_H19f zenon_H1a0 zenon_H23e zenon_H240. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.10 apply (zenon_L225_); trivial. % 0.92/1.10 apply (zenon_L542_); trivial. % 0.92/1.10 (* end of lemma zenon_L543_ *) % 0.92/1.10 assert (zenon_L544_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a599)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a599))) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1de zenon_H1f4 zenon_H7b zenon_H1f6 zenon_H2c7 zenon_H2c6 zenon_H9d zenon_Ha zenon_H1dc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H164 | zenon_intro zenon_H1df ]. % 0.92/1.10 apply (zenon_L176_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H23 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L454_); trivial. % 0.92/1.10 exact (zenon_H1dc zenon_H1dd). % 0.92/1.10 (* end of lemma zenon_L544_ *) % 0.92/1.10 assert (zenon_L545_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp20)) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (~(c1_1 (a599))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(hskp0)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H23c zenon_H233 zenon_H232 zenon_H231 zenon_H1dc zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H1f6 zenon_H7b zenon_H1f4 zenon_H1de zenon_H23a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H230 | zenon_intro zenon_H23d ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H9d | zenon_intro zenon_H23b ]. % 0.92/1.10 apply (zenon_L544_); trivial. % 0.92/1.10 exact (zenon_H23a zenon_H23b). % 0.92/1.10 (* end of lemma zenon_L545_ *) % 0.92/1.10 assert (zenon_L546_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (~(hskp20)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (c0_1 (a619)) -> (~(c3_1 (a619))) -> (~(c1_1 (a619))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H256 zenon_H23a zenon_H1de zenon_H1f4 zenon_H1f6 zenon_H2c7 zenon_H2c6 zenon_H1dc zenon_H231 zenon_H232 zenon_H233 zenon_H23c zenon_H14d zenon_He zenon_Hd zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H14a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.10 apply (zenon_L545_); trivial. % 0.92/1.10 apply (zenon_L234_); trivial. % 0.92/1.10 (* end of lemma zenon_L546_ *) % 0.92/1.10 assert (zenon_L547_ : ((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp0)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1e9 zenon_H265 zenon_H23a zenon_H2c6 zenon_H2c7 zenon_H231 zenon_H232 zenon_H233 zenon_H23c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_Ha. zenon_intro zenon_H1ea. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.92/1.10 apply (zenon_L511_); trivial. % 0.92/1.10 apply (zenon_L160_); trivial. % 0.92/1.10 (* end of lemma zenon_L547_ *) % 0.92/1.10 assert (zenon_L548_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H174 zenon_H25a zenon_H1ec zenon_H1de zenon_H14d zenon_H14a zenon_H240 zenon_H56 zenon_H1 zenon_H223 zenon_H8c zenon_H9c zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_Ha zenon_H256 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H27f zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H233 zenon_H232 zenon_H231 zenon_H265 zenon_H3a zenon_H23a zenon_H23c zenon_H22e zenon_H52 zenon_H64 zenon_H1ef. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.10 apply (zenon_L537_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.10 apply (zenon_L543_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Ha. zenon_intro zenon_H257. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H24e. zenon_intro zenon_H258. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.10 apply (zenon_L546_); trivial. % 0.92/1.10 apply (zenon_L547_); trivial. % 0.92/1.10 (* end of lemma zenon_L548_ *) % 0.92/1.10 assert (zenon_L549_ : ((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c1_1 (a594)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H16c zenon_H1ec zenon_H265 zenon_H231 zenon_H232 zenon_H233 zenon_H23c zenon_H23a zenon_H1f6 zenon_H1f4 zenon_H2c6 zenon_H2c7 zenon_H1de zenon_H1d5 zenon_H2cf zenon_H256. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.10 apply (zenon_L545_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L544_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.10 apply (zenon_L95_); trivial. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 apply (zenon_L547_); trivial. % 0.92/1.10 (* end of lemma zenon_L549_ *) % 0.92/1.10 assert (zenon_L550_ : ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (~(hskp28)) -> (~(hskp4)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H131 zenon_H294 zenon_H295 zenon_H293 zenon_Ha zenon_H15a zenon_Hd7 zenon_Hac. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H9d | zenon_intro zenon_H132 ]. % 0.92/1.10 apply (zenon_L382_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Had ]. % 0.92/1.10 exact (zenon_Hd7 zenon_Hd8). % 0.92/1.10 exact (zenon_Hac zenon_Had). % 0.92/1.10 (* end of lemma zenon_L550_ *) % 0.92/1.10 assert (zenon_L551_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp5))) -> (~(c3_1 (a644))) -> (~(c2_1 (a644))) -> (~(c0_1 (a644))) -> (~(hskp4)) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a597))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp5)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H2ee zenon_H10e zenon_H10d zenon_H10c zenon_Hac zenon_Hd7 zenon_Ha zenon_H293 zenon_H295 zenon_H294 zenon_H131 zenon_H6f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H10b | zenon_intro zenon_H2ef ]. % 0.92/1.10 apply (zenon_L70_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H15a | zenon_intro zenon_H70 ]. % 0.92/1.10 apply (zenon_L550_); trivial. % 0.92/1.10 exact (zenon_H6f zenon_H70). % 0.92/1.10 (* end of lemma zenon_L551_ *) % 0.92/1.10 assert (zenon_L552_ : ((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> (~(hskp18)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp5))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H152 zenon_H104 zenon_Hee zenon_H53 zenon_H131 zenon_Hac zenon_H294 zenon_H295 zenon_H293 zenon_H6f zenon_H2ee. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H10c. zenon_intro zenon_H154. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.10 apply (zenon_L551_); trivial. % 0.92/1.10 apply (zenon_L58_); trivial. % 0.92/1.10 (* end of lemma zenon_L552_ *) % 0.92/1.10 assert (zenon_L553_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(hskp4)) -> (~(hskp28)) -> (~(c3_1 (a597))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d5 zenon_H7e zenon_H7d zenon_H7c zenon_Hac zenon_Hd7 zenon_H293 zenon_H295 zenon_H294 zenon_H131 zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L30_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.10 apply (zenon_L550_); trivial. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 (* end of lemma zenon_L553_ *) % 0.92/1.10 assert (zenon_L554_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> (~(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H87 zenon_H104 zenon_H2da zenon_H2d8 zenon_H131 zenon_Hac zenon_H294 zenon_H295 zenon_H293 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H1d5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.10 apply (zenon_L553_); trivial. % 0.92/1.10 apply (zenon_L444_); trivial. % 0.92/1.10 (* end of lemma zenon_L554_ *) % 0.92/1.10 assert (zenon_L555_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> (~(hskp4)) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp14)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a597))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H8c zenon_H2da zenon_H2d8 zenon_H1d5 zenon_Hf4 zenon_Hac zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Ha7 zenon_Ha9 zenon_H2ee zenon_H6f zenon_H293 zenon_H295 zenon_H294 zenon_H131 zenon_Hee zenon_H104 zenon_H156. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.92/1.10 apply (zenon_L438_); trivial. % 0.92/1.10 apply (zenon_L552_); trivial. % 0.92/1.10 apply (zenon_L554_); trivial. % 0.92/1.10 (* end of lemma zenon_L555_ *) % 0.92/1.10 assert (zenon_L556_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> (~(hskp18)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(hskp5))) -> (ndr1_0) -> (~(c2_1 (a624))) -> (c0_1 (a624)) -> (c1_1 (a624)) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H156 zenon_H104 zenon_Hee zenon_H53 zenon_H131 zenon_H294 zenon_H295 zenon_H293 zenon_H6f zenon_H2ee zenon_Ha zenon_H2dc zenon_H2dd zenon_H2de zenon_Hac zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.92/1.10 apply (zenon_L450_); trivial. % 0.92/1.10 apply (zenon_L552_); trivial. % 0.92/1.10 (* end of lemma zenon_L556_ *) % 0.92/1.10 assert (zenon_L557_ : ((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H152 zenon_H1d5 zenon_H7e zenon_H7d zenon_H7c zenon_H295 zenon_H294 zenon_H293 zenon_H24 zenon_H25 zenon_H26 zenon_H14c zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H10c. zenon_intro zenon_H154. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L30_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H10b | zenon_intro zenon_H14e ]. % 0.92/1.10 apply (zenon_L70_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H23 | zenon_intro zenon_H3f ]. % 0.92/1.10 apply (zenon_L13_); trivial. % 0.92/1.10 apply (zenon_L375_); trivial. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 (* end of lemma zenon_L557_ *) % 0.92/1.10 assert (zenon_L558_ : ((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(c2_1 (a624))) -> (c0_1 (a624)) -> (c1_1 (a624)) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H78 zenon_H156 zenon_H1d5 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H293 zenon_H294 zenon_H295 zenon_H14c zenon_H7e zenon_H7d zenon_H7c zenon_H2dc zenon_H2dd zenon_H2de zenon_Hac zenon_Hf4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.92/1.10 apply (zenon_L450_); trivial. % 0.92/1.10 apply (zenon_L557_); trivial. % 0.92/1.10 (* end of lemma zenon_L558_ *) % 0.92/1.10 assert (zenon_L559_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c3_1 (a597))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H155 zenon_H2e8 zenon_H156 zenon_H14c zenon_Hf4 zenon_H76 zenon_H104 zenon_H2da zenon_H27f zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Hac zenon_H131 zenon_H56 zenon_H64 zenon_H17 zenon_H19 zenon_H1d5 zenon_H293 zenon_H295 zenon_H294 zenon_H8c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.10 apply (zenon_L464_); trivial. % 0.92/1.10 apply (zenon_L554_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.10 apply (zenon_L468_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.10 apply (zenon_L9_); trivial. % 0.92/1.10 apply (zenon_L558_); trivial. % 0.92/1.10 (* end of lemma zenon_L559_ *) % 0.92/1.10 assert (zenon_L560_ : ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> (~(hskp25)) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H128 zenon_H126 zenon_H294 zenon_H295 zenon_H293 zenon_Ha zenon_H15a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H9d | zenon_intro zenon_H127 ]. % 0.92/1.10 apply (zenon_L382_); trivial. % 0.92/1.10 exact (zenon_H126 zenon_H127). % 0.92/1.10 (* end of lemma zenon_L560_ *) % 0.92/1.10 assert (zenon_L561_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c3_1 (a597))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(hskp25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d5 zenon_H19f zenon_H1a0 zenon_H19e zenon_H102 zenon_H293 zenon_H295 zenon_H294 zenon_H126 zenon_H128 zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L119_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.10 apply (zenon_L560_); trivial. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 (* end of lemma zenon_L561_ *) % 0.92/1.10 assert (zenon_L562_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp4)) -> (~(hskp28)) -> (~(c3_1 (a597))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d5 zenon_H19f zenon_H1a0 zenon_H19e zenon_H102 zenon_Hac zenon_Hd7 zenon_H293 zenon_H295 zenon_H294 zenon_H131 zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L119_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.10 apply (zenon_L550_); trivial. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 (* end of lemma zenon_L562_ *) % 0.92/1.10 assert (zenon_L563_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp24)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (c3_1 (a656)) -> (c1_1 (a656)) -> (~(c0_1 (a656))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hed zenon_H102 zenon_H1d zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H288 zenon_H137 zenon_H136 zenon_H135. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.92/1.10 apply (zenon_L528_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.92/1.10 apply (zenon_L82_); trivial. % 0.92/1.10 apply (zenon_L57_); trivial. % 0.92/1.10 (* end of lemma zenon_L563_ *) % 0.92/1.10 assert (zenon_L564_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> (~(hskp24)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (ndr1_0) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H157 zenon_H104 zenon_H1d zenon_H288 zenon_H131 zenon_Hac zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_Ha zenon_H128 zenon_H294 zenon_H295 zenon_H293 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H1d5. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H126 | zenon_intro zenon_H13e ]. % 0.92/1.10 apply (zenon_L561_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Ha. zenon_intro zenon_H13f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H136. zenon_intro zenon_H140. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.10 apply (zenon_L562_); trivial. % 0.92/1.10 apply (zenon_L563_); trivial. % 0.92/1.10 (* end of lemma zenon_L564_ *) % 0.92/1.10 assert (zenon_L565_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> (~(hskp17)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp6)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H71 zenon_H64 zenon_H1b8 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H2d8 zenon_H2da zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H85 zenon_H242. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.10 apply (zenon_L226_); trivial. % 0.92/1.10 apply (zenon_L484_); trivial. % 0.92/1.10 (* end of lemma zenon_L565_ *) % 0.92/1.10 assert (zenon_L566_ : ((ndr1_0)/\((c2_1 (a602))/\((c3_1 (a602))/\(~(c0_1 (a602)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H281 zenon_H2e8 zenon_H156 zenon_H2a5 zenon_Hf4 zenon_H157 zenon_H104 zenon_H288 zenon_H131 zenon_Hac zenon_H102 zenon_H128 zenon_H294 zenon_H295 zenon_H293 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H1d5 zenon_H242 zenon_H85 zenon_H2da zenon_H1b8 zenon_H64 zenon_H77. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.10 apply (zenon_L564_); trivial. % 0.92/1.10 apply (zenon_L565_); trivial. % 0.92/1.10 apply (zenon_L477_); trivial. % 0.92/1.10 (* end of lemma zenon_L566_ *) % 0.92/1.10 assert (zenon_L567_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp14)\/(hskp5))) -> (c3_1 (a600)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a600))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp5)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H2f0 zenon_H1c5 zenon_H7b zenon_H1c4 zenon_Ha zenon_Ha7 zenon_H6f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H164 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_L141_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H70 ]. % 0.92/1.10 exact (zenon_Ha7 zenon_Ha8). % 0.92/1.10 exact (zenon_H6f zenon_H70). % 0.92/1.10 (* end of lemma zenon_L567_ *) % 0.92/1.10 assert (zenon_L568_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(hskp5)) -> (~(hskp14)) -> (~(c1_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp14)\/(hskp5))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d5 zenon_H6f zenon_Ha7 zenon_H1c4 zenon_H1c5 zenon_H2f0 zenon_H295 zenon_H294 zenon_H293 zenon_H3f zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L567_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.10 apply (zenon_L375_); trivial. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 (* end of lemma zenon_L568_ *) % 0.92/1.10 assert (zenon_L569_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a656)) -> (c1_1 (a656)) -> (~(c0_1 (a656))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hed zenon_H1b8 zenon_H1a0 zenon_H19f zenon_H19e zenon_H97 zenon_H68 zenon_H67 zenon_H66 zenon_He zenon_Hd zenon_Hc zenon_H102 zenon_H137 zenon_H136 zenon_H135. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.92/1.10 apply (zenon_L119_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.92/1.10 apply (zenon_L120_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8d | zenon_intro zenon_H98 ]. % 0.92/1.10 apply (zenon_L121_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.92/1.10 apply (zenon_L6_); trivial. % 0.92/1.10 apply (zenon_L83_); trivial. % 0.92/1.10 (* end of lemma zenon_L569_ *) % 0.92/1.10 assert (zenon_L570_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (~(c3_1 (a597))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H155 zenon_H77 zenon_H1b8 zenon_H97 zenon_H1d5 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H293 zenon_H295 zenon_H294 zenon_H128 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_Hac zenon_H131 zenon_H288 zenon_H104 zenon_H157. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.10 apply (zenon_L564_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H126 | zenon_intro zenon_H13e ]. % 0.92/1.10 apply (zenon_L561_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Ha. zenon_intro zenon_H13f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H136. zenon_intro zenon_H140. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.10 apply (zenon_L562_); trivial. % 0.92/1.10 apply (zenon_L569_); trivial. % 0.92/1.10 (* end of lemma zenon_L570_ *) % 0.92/1.10 assert (zenon_L571_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c3_1 (a597))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(hskp25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d5 zenon_H190 zenon_H191 zenon_H192 zenon_H1f6 zenon_H1f4 zenon_H2ac zenon_H293 zenon_H295 zenon_H294 zenon_H126 zenon_H128 zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L396_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.10 apply (zenon_L560_); trivial. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 (* end of lemma zenon_L571_ *) % 0.92/1.10 assert (zenon_L572_ : ((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp24)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H13e zenon_H104 zenon_H102 zenon_H1d zenon_H288 zenon_H2ac zenon_H295 zenon_H294 zenon_H293 zenon_H192 zenon_H191 zenon_H190 zenon_H1f4 zenon_H1f6 zenon_H131 zenon_Hac zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H1d5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Ha. zenon_intro zenon_H13f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H136. zenon_intro zenon_H140. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L396_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.10 apply (zenon_L550_); trivial. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 apply (zenon_L563_); trivial. % 0.92/1.10 (* end of lemma zenon_L572_ *) % 0.92/1.10 assert (zenon_L573_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp24)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H157 zenon_H104 zenon_H102 zenon_H1d zenon_H288 zenon_H131 zenon_Hac zenon_H2ac zenon_H295 zenon_H294 zenon_H293 zenon_H192 zenon_H191 zenon_H190 zenon_H1f4 zenon_H1f6 zenon_Ha zenon_H128 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H1d5. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H126 | zenon_intro zenon_H13e ]. % 0.92/1.10 apply (zenon_L571_); trivial. % 0.92/1.10 apply (zenon_L572_); trivial. % 0.92/1.10 (* end of lemma zenon_L573_ *) % 0.92/1.10 assert (zenon_L574_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c2_1 (a614))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp4)) -> (~(c3_1 (a597))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c2_1 (a651))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d5 zenon_H190 zenon_H1f6 zenon_H1f4 zenon_H2ac zenon_Hac zenon_H293 zenon_H295 zenon_H294 zenon_H131 zenon_H1d3 zenon_H192 zenon_H191 zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_Hd7. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L396_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.10 apply (zenon_L550_); trivial. % 0.92/1.10 apply (zenon_L144_); trivial. % 0.92/1.10 (* end of lemma zenon_L574_ *) % 0.92/1.10 assert (zenon_L575_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H71 zenon_H104 zenon_H2da zenon_H2d8 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H2ac zenon_H295 zenon_H294 zenon_H293 zenon_H192 zenon_H191 zenon_H190 zenon_H1f4 zenon_H1f6 zenon_H131 zenon_Hac zenon_H1d3 zenon_H1d5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.10 apply (zenon_L574_); trivial. % 0.92/1.10 apply (zenon_L444_); trivial. % 0.92/1.10 (* end of lemma zenon_L575_ *) % 0.92/1.10 assert (zenon_L576_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/((hskp28)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H77 zenon_H2da zenon_H2d8 zenon_H1d3 zenon_H1d5 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H128 zenon_Ha zenon_H1f6 zenon_H1f4 zenon_H190 zenon_H191 zenon_H192 zenon_H293 zenon_H294 zenon_H295 zenon_H2ac zenon_Hac zenon_H131 zenon_H288 zenon_H102 zenon_H104 zenon_H157. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.10 apply (zenon_L573_); trivial. % 0.92/1.10 apply (zenon_L575_); trivial. % 0.92/1.10 (* end of lemma zenon_L576_ *) % 0.92/1.10 assert (zenon_L577_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d5 zenon_H190 zenon_H191 zenon_H192 zenon_H1f6 zenon_H1f4 zenon_H2ac zenon_H295 zenon_H294 zenon_H293 zenon_H3f zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L396_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.10 apply (zenon_L375_); trivial. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 (* end of lemma zenon_L577_ *) % 0.92/1.10 assert (zenon_L578_ : ((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp7))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(hskp7)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H152 zenon_H115 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H293 zenon_H294 zenon_H295 zenon_H2ac zenon_H1f4 zenon_H1f6 zenon_H192 zenon_H191 zenon_H190 zenon_H1d5 zenon_H17. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H10c. zenon_intro zenon_H154. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H10b | zenon_intro zenon_H116 ]. % 0.92/1.10 apply (zenon_L70_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H3f | zenon_intro zenon_H18 ]. % 0.92/1.10 apply (zenon_L577_); trivial. % 0.92/1.10 exact (zenon_H17 zenon_H18). % 0.92/1.10 (* end of lemma zenon_L578_ *) % 0.92/1.10 assert (zenon_L579_ : ((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a644)))/\((~(c2_1 (a644)))/\(~(c3_1 (a644))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(hskp4)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/((hskp4)\/(hskp22))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H2e5 zenon_H156 zenon_H115 zenon_H17 zenon_H2ac zenon_H295 zenon_H294 zenon_H293 zenon_H192 zenon_H191 zenon_H190 zenon_H1f4 zenon_H1f6 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H1d5 zenon_Hac zenon_Hf4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.92/1.10 apply (zenon_L450_); trivial. % 0.92/1.10 apply (zenon_L578_); trivial. % 0.92/1.10 (* end of lemma zenon_L579_ *) % 0.92/1.10 assert (zenon_L580_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(c1_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d5 zenon_H190 zenon_H191 zenon_H192 zenon_H1c4 zenon_H1c5 zenon_H2ac zenon_H294 zenon_H295 zenon_H293 zenon_H9d zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L417_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.10 apply (zenon_L382_); trivial. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 (* end of lemma zenon_L580_ *) % 0.92/1.10 assert (zenon_L581_ : ((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a600))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c1_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1f0 zenon_H256 zenon_H25e zenon_H1f6 zenon_H1f4 zenon_H1d5 zenon_H1c4 zenon_H1c5 zenon_H2ac zenon_H294 zenon_H295 zenon_H293 zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.10 apply (zenon_L407_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.10 apply (zenon_L396_); trivial. % 0.92/1.10 apply (zenon_L580_); trivial. % 0.92/1.10 (* end of lemma zenon_L581_ *) % 0.92/1.10 assert (zenon_L582_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> (~(c3_1 (a597))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1ef zenon_H256 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H1d5 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H293 zenon_H294 zenon_H295 zenon_H2ac zenon_Ha zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H1f3. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.10 apply (zenon_L175_); trivial. % 0.92/1.10 apply (zenon_L581_); trivial. % 0.92/1.10 (* end of lemma zenon_L582_ *) % 0.92/1.10 assert (zenon_L583_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d5 zenon_H7e zenon_H7d zenon_H7c zenon_H294 zenon_H295 zenon_H293 zenon_H9d zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L30_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.10 apply (zenon_L382_); trivial. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 (* end of lemma zenon_L583_ *) % 0.92/1.10 assert (zenon_L584_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c1_1 (a597)) -> (c2_1 (a597)) -> (~(c3_1 (a597))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H87 zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H1d5 zenon_H294 zenon_H295 zenon_H293 zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.10 apply (zenon_L30_); trivial. % 0.92/1.10 apply (zenon_L583_); trivial. % 0.92/1.10 (* end of lemma zenon_L584_ *) % 0.92/1.10 assert (zenon_L585_ : ((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1f0 zenon_H2a7 zenon_H233 zenon_H232 zenon_H231 zenon_H1d5 zenon_H1f6 zenon_H1f4 zenon_H2ac zenon_H295 zenon_H294 zenon_H293 zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.10 apply (zenon_L373_); trivial. % 0.92/1.10 apply (zenon_L577_); trivial. % 0.92/1.10 (* end of lemma zenon_L585_ *) % 0.92/1.10 assert (zenon_L586_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1ef zenon_H2a7 zenon_H2ac zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H1d5 zenon_H295 zenon_H294 zenon_H293 zenon_H233 zenon_H232 zenon_H231 zenon_Ha zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H1f3. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.10 apply (zenon_L175_); trivial. % 0.92/1.10 apply (zenon_L585_); trivial. % 0.92/1.10 (* end of lemma zenon_L586_ *) % 0.92/1.10 assert (zenon_L587_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp20)) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H1dc zenon_H24 zenon_H25 zenon_H26 zenon_H1f6 zenon_H1f4 zenon_H1de zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Ha zenon_H49. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.10 apply (zenon_L327_); trivial. % 0.92/1.10 apply (zenon_L487_); trivial. % 0.92/1.10 (* end of lemma zenon_L587_ *) % 0.92/1.10 assert (zenon_L588_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d5 zenon_H19f zenon_H1a0 zenon_H19e zenon_H102 zenon_H295 zenon_H294 zenon_H293 zenon_H3f zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L119_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.10 apply (zenon_L375_); trivial. % 0.92/1.10 apply (zenon_L442_); trivial. % 0.92/1.10 (* end of lemma zenon_L588_ *) % 0.92/1.10 assert (zenon_L589_ : ((ndr1_0)/\((c2_1 (a602))/\((c3_1 (a602))/\(~(c0_1 (a602)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a597)) -> (c1_1 (a597)) -> (~(c3_1 (a597))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H281 zenon_H2a7 zenon_H233 zenon_H232 zenon_H231 zenon_H1d5 zenon_H102 zenon_H295 zenon_H294 zenon_H293 zenon_H2c6 zenon_H2c7 zenon_H2cf. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.10 apply (zenon_L220_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.10 apply (zenon_L373_); trivial. % 0.92/1.10 apply (zenon_L588_); trivial. % 0.92/1.10 (* end of lemma zenon_L589_ *) % 0.92/1.10 assert (zenon_L590_ : (forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46)))))) -> (ndr1_0) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H12e zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4. % 0.92/1.10 generalize (zenon_H12e (a593)). zenon_intro zenon_H2f5. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H2f5); [ zenon_intro zenon_H9 | zenon_intro zenon_H2f6 ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2f7 ]. % 0.92/1.10 exact (zenon_H2f2 zenon_H2f8). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2fa | zenon_intro zenon_H2f9 ]. % 0.92/1.10 exact (zenon_H2f3 zenon_H2fa). % 0.92/1.10 exact (zenon_H2f9 zenon_H2f4). % 0.92/1.10 (* end of lemma zenon_L590_ *) % 0.92/1.10 assert (zenon_L591_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp10)\/(hskp5))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp5)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H18b zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H1 zenon_H6f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H12e | zenon_intro zenon_H75 ]. % 0.92/1.10 apply (zenon_L590_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H2 | zenon_intro zenon_H70 ]. % 0.92/1.10 exact (zenon_H1 zenon_H2). % 0.92/1.10 exact (zenon_H6f zenon_H70). % 0.92/1.10 (* end of lemma zenon_L591_ *) % 0.92/1.10 assert (zenon_L592_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp7)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H133 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_Hd7 zenon_H17. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H12e | zenon_intro zenon_H134 ]. % 0.92/1.10 apply (zenon_L590_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H18 ]. % 0.92/1.10 exact (zenon_Hd7 zenon_Hd8). % 0.92/1.10 exact (zenon_H17 zenon_H18). % 0.92/1.10 (* end of lemma zenon_L592_ *) % 0.92/1.10 assert (zenon_L593_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> (~(hskp18)) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H104 zenon_Hee zenon_H53 zenon_H6f zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.10 apply (zenon_L592_); trivial. % 0.92/1.10 apply (zenon_L58_); trivial. % 0.92/1.10 (* end of lemma zenon_L593_ *) % 0.92/1.10 assert (zenon_L594_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a593))) -> (~(c1_1 (a593))) -> (~(c3_1 (a593))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H117 zenon_Ha zenon_H2f2 zenon_H2fb zenon_H2f3. % 0.92/1.10 generalize (zenon_H117 (a593)). zenon_intro zenon_H2fc. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H2fc); [ zenon_intro zenon_H9 | zenon_intro zenon_H2fd ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H2fe ]. % 0.92/1.10 exact (zenon_H2f2 zenon_H2f8). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H2ff | zenon_intro zenon_H2fa ]. % 0.92/1.10 exact (zenon_H2fb zenon_H2ff). % 0.92/1.10 exact (zenon_H2f3 zenon_H2fa). % 0.92/1.10 (* end of lemma zenon_L594_ *) % 0.92/1.10 assert (zenon_L595_ : (forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52)))))) -> (ndr1_0) -> (~(c0_1 (a593))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hfa zenon_Ha zenon_H2f2 zenon_H117 zenon_H2f3 zenon_H2f4. % 0.92/1.10 generalize (zenon_Hfa (a593)). zenon_intro zenon_H300. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H300); [ zenon_intro zenon_H9 | zenon_intro zenon_H301 ]. % 0.92/1.10 exact (zenon_H9 zenon_Ha). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H302 ]. % 0.92/1.10 exact (zenon_H2f2 zenon_H2f8). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H2fb | zenon_intro zenon_H2f9 ]. % 0.92/1.10 apply (zenon_L594_); trivial. % 0.92/1.10 exact (zenon_H2f9 zenon_H2f4). % 0.92/1.10 (* end of lemma zenon_L595_ *) % 0.92/1.10 assert (zenon_L596_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a593))) -> (c3_1 (a656)) -> (c1_1 (a656)) -> (~(c0_1 (a656))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H102 zenon_H2f4 zenon_H2f3 zenon_H117 zenon_H2f2 zenon_H137 zenon_H136 zenon_H135 zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.92/1.10 apply (zenon_L595_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.92/1.10 apply (zenon_L82_); trivial. % 0.92/1.10 apply (zenon_L57_); trivial. % 0.92/1.10 (* end of lemma zenon_L596_ *) % 0.92/1.10 assert (zenon_L597_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a656)) -> (c1_1 (a656)) -> (~(c0_1 (a656))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hed zenon_H121 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H7e zenon_H7d zenon_H7c zenon_H102 zenon_H137 zenon_H136 zenon_H135. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.10 apply (zenon_L596_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.10 apply (zenon_L30_); trivial. % 0.92/1.10 apply (zenon_L83_); trivial. % 0.92/1.10 (* end of lemma zenon_L597_ *) % 0.92/1.10 assert (zenon_L598_ : ((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H13e zenon_H104 zenon_H121 zenon_H7e zenon_H7d zenon_H7c zenon_H102 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Ha. zenon_intro zenon_H13f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H136. zenon_intro zenon_H140. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.10 apply (zenon_L592_); trivial. % 0.92/1.10 apply (zenon_L597_); trivial. % 0.92/1.10 (* end of lemma zenon_L598_ *) % 0.92/1.10 assert (zenon_L599_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H87 zenon_H157 zenon_H104 zenon_H121 zenon_H102 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133 zenon_H9e zenon_H9f zenon_Ha0 zenon_H128. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H126 | zenon_intro zenon_H13e ]. % 0.92/1.10 apply (zenon_L77_); trivial. % 0.92/1.10 apply (zenon_L598_); trivial. % 0.92/1.10 (* end of lemma zenon_L599_ *) % 0.92/1.10 assert (zenon_L600_ : ((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (~(hskp5)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H170 zenon_H8c zenon_H157 zenon_H121 zenon_H102 zenon_H128 zenon_H133 zenon_H17 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H6f zenon_Hee zenon_H104. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.10 apply (zenon_L593_); trivial. % 0.92/1.10 apply (zenon_L599_); trivial. % 0.92/1.10 (* end of lemma zenon_L600_ *) % 0.92/1.10 assert (zenon_L601_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> (ndr1_0) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp5)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp10)\/(hskp5))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1c3 zenon_H8c zenon_H157 zenon_H121 zenon_H102 zenon_H128 zenon_H133 zenon_H17 zenon_Hee zenon_H104 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H6f zenon_H18b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.10 apply (zenon_L591_); trivial. % 0.92/1.10 apply (zenon_L600_); trivial. % 0.92/1.10 (* end of lemma zenon_L601_ *) % 0.92/1.10 assert (zenon_L602_ : ((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp9)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H167 zenon_Hdf zenon_H90 zenon_H8f zenon_H8e zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H1b8 zenon_H3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H8d | zenon_intro zenon_He1 ]. % 0.92/1.10 apply (zenon_L34_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H2d | zenon_intro zenon_H4 ]. % 0.92/1.10 apply (zenon_L122_); trivial. % 0.92/1.10 exact (zenon_H3 zenon_H4). % 0.92/1.10 (* end of lemma zenon_L602_ *) % 0.92/1.10 assert (zenon_L603_ : ((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H99 zenon_H16d zenon_Hdf zenon_H3 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1b8 zenon_H1b zenon_Hac zenon_Hae. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.10 apply (zenon_L44_); trivial. % 0.92/1.10 apply (zenon_L602_); trivial. % 0.92/1.10 (* end of lemma zenon_L603_ *) % 0.92/1.10 assert (zenon_L604_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H9c zenon_H16d zenon_Hdf zenon_H3 zenon_H102 zenon_H1b8 zenon_H1b zenon_Hac zenon_Hae zenon_Ha zenon_H19e zenon_H19f zenon_H1a0 zenon_H23e zenon_H240. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.10 apply (zenon_L225_); trivial. % 0.92/1.10 apply (zenon_L603_); trivial. % 0.92/1.10 (* end of lemma zenon_L604_ *) % 0.92/1.10 assert (zenon_L605_ : ((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (~(hskp11)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H255 zenon_H14d zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H14a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Ha. zenon_intro zenon_H257. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H24e. zenon_intro zenon_H258. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.92/1.11 apply (zenon_L590_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.92/1.11 apply (zenon_L233_); trivial. % 0.92/1.11 exact (zenon_H14a zenon_H14b). % 0.92/1.11 (* end of lemma zenon_L605_ *) % 0.92/1.11 assert (zenon_L606_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H171 zenon_H168 zenon_H9c zenon_H16d zenon_Hdf zenon_H3 zenon_H102 zenon_H1b8 zenon_H1b zenon_Hac zenon_Hae zenon_Ha zenon_H19e zenon_H19f zenon_H1a0 zenon_H240 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H14d zenon_H25a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.11 apply (zenon_L604_); trivial. % 0.92/1.11 apply (zenon_L605_); trivial. % 0.92/1.11 apply (zenon_L98_); trivial. % 0.92/1.11 (* end of lemma zenon_L606_ *) % 0.92/1.11 assert (zenon_L607_ : ((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a620))) -> (~(c2_1 (a620))) -> (c1_1 (a620)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H167 zenon_H1be zenon_H1 zenon_H19e zenon_H19f zenon_H1a0 zenon_H8e zenon_H8f zenon_H90 zenon_H223 zenon_H1b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.92/1.11 apply (zenon_L275_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.11 apply (zenon_L96_); trivial. % 0.92/1.11 exact (zenon_H1b zenon_H1c). % 0.92/1.11 (* end of lemma zenon_L607_ *) % 0.92/1.11 assert (zenon_L608_ : ((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H99 zenon_H16d zenon_H1be zenon_H19e zenon_H19f zenon_H1a0 zenon_H1 zenon_H223 zenon_H1b zenon_Hac zenon_Hae. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.11 apply (zenon_L44_); trivial. % 0.92/1.11 apply (zenon_L607_); trivial. % 0.92/1.11 (* end of lemma zenon_L608_ *) % 0.92/1.11 assert (zenon_L609_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H171 zenon_H168 zenon_H9c zenon_H16d zenon_H1be zenon_H1 zenon_H223 zenon_H1b zenon_Hac zenon_Hae zenon_Ha zenon_H19e zenon_H19f zenon_H1a0 zenon_H240 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H14d zenon_H25a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.11 apply (zenon_L225_); trivial. % 0.92/1.11 apply (zenon_L608_); trivial. % 0.92/1.11 apply (zenon_L605_); trivial. % 0.92/1.11 apply (zenon_L98_); trivial. % 0.92/1.11 (* end of lemma zenon_L609_ *) % 0.92/1.11 assert (zenon_L610_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (~(hskp29)) -> (ndr1_0) -> (c0_1 (a605)) -> (~(c3_1 (a605))) -> (c2_1 (a605)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp29))) -> (~(hskp11)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H14d zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H49 zenon_Ha zenon_H9f zenon_H9e zenon_Ha0 zenon_H19e zenon_H19f zenon_H1a0 zenon_H2ae zenon_H14a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.92/1.11 apply (zenon_L590_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.92/1.11 apply (zenon_L481_); trivial. % 0.92/1.11 exact (zenon_H14a zenon_H14b). % 0.92/1.11 (* end of lemma zenon_L610_ *) % 0.92/1.11 assert (zenon_L611_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (c3_1 (a656)) -> (c1_1 (a656)) -> (~(c0_1 (a656))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c0_1 (a602))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H137 zenon_H136 zenon_H135 zenon_Ha zenon_H7b zenon_H19e zenon_H1a0 zenon_H19f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.92/1.11 apply (zenon_L102_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.92/1.11 apply (zenon_L82_); trivial. % 0.92/1.11 apply (zenon_L118_); trivial. % 0.92/1.11 (* end of lemma zenon_L611_ *) % 0.92/1.11 assert (zenon_L612_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (c3_1 (a656)) -> (c1_1 (a656)) -> (~(c0_1 (a656))) -> (ndr1_0) -> (c1_1 (a618)) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (c0_1 (a618)) -> (c3_1 (a618)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H137 zenon_H136 zenon_H135 zenon_Ha zenon_H5b zenon_Hd3 zenon_H59 zenon_H5a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.92/1.11 apply (zenon_L102_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.92/1.11 apply (zenon_L82_); trivial. % 0.92/1.11 apply (zenon_L229_); trivial. % 0.92/1.11 (* end of lemma zenon_L612_ *) % 0.92/1.11 assert (zenon_L613_ : ((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (c3_1 (a656)) -> (c1_1 (a656)) -> (~(c0_1 (a656))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H55 zenon_H1b8 zenon_H1a0 zenon_H19f zenon_H19e zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H137 zenon_H136 zenon_H135. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.92/1.11 apply (zenon_L611_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.92/1.11 apply (zenon_L120_); trivial. % 0.92/1.11 apply (zenon_L612_); trivial. % 0.92/1.11 (* end of lemma zenon_L613_ *) % 0.92/1.11 assert (zenon_L614_ : ((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c2_1 (a604)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp29))) -> (c2_1 (a605)) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H13e zenon_H64 zenon_H1b8 zenon_H17a zenon_H17b zenon_H17c zenon_H102 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H2ae zenon_Ha0 zenon_H9e zenon_H9f zenon_H1a0 zenon_H19f zenon_H19e zenon_H14a zenon_H14d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Ha. zenon_intro zenon_H13f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H136. zenon_intro zenon_H140. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.11 apply (zenon_L610_); trivial. % 0.92/1.11 apply (zenon_L613_); trivial. % 0.92/1.11 (* end of lemma zenon_L614_ *) % 0.92/1.11 assert (zenon_L615_ : ((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp29))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H170 zenon_H171 zenon_H16d zenon_H168 zenon_H1b zenon_Hac zenon_Hae zenon_H128 zenon_H14d zenon_H19e zenon_H19f zenon_H1a0 zenon_H2ae zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H102 zenon_H17c zenon_H17b zenon_H17a zenon_H1b8 zenon_H64 zenon_H157. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H126 | zenon_intro zenon_H13e ]. % 0.92/1.11 apply (zenon_L77_); trivial. % 0.92/1.11 apply (zenon_L614_); trivial. % 0.92/1.11 apply (zenon_L98_); trivial. % 0.92/1.11 (* end of lemma zenon_L615_ *) % 0.92/1.11 assert (zenon_L616_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a593))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H292 zenon_Ha zenon_H2f3 zenon_H1ba zenon_H2f2 zenon_H2f4. % 0.92/1.11 generalize (zenon_H292 (a593)). zenon_intro zenon_H303. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H303); [ zenon_intro zenon_H9 | zenon_intro zenon_H304 ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H2fa | zenon_intro zenon_H302 ]. % 0.92/1.11 exact (zenon_H2f3 zenon_H2fa). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H2fb | zenon_intro zenon_H2f9 ]. % 0.92/1.11 generalize (zenon_H1ba (a593)). zenon_intro zenon_H305. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H305); [ zenon_intro zenon_H9 | zenon_intro zenon_H306 ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H307 ]. % 0.92/1.11 exact (zenon_H2f2 zenon_H2f8). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2ff | zenon_intro zenon_H2f9 ]. % 0.92/1.11 exact (zenon_H2fb zenon_H2ff). % 0.92/1.11 exact (zenon_H2f9 zenon_H2f4). % 0.92/1.11 exact (zenon_H2f9 zenon_H2f4). % 0.92/1.11 (* end of lemma zenon_L616_ *) % 0.92/1.11 assert (zenon_L617_ : ((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1f0 zenon_H16d zenon_H1be zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H2ac zenon_H1b zenon_Hac zenon_Hae. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.11 apply (zenon_L44_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H164 | zenon_intro zenon_H2ad ]. % 0.92/1.11 apply (zenon_L96_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H292 ]. % 0.92/1.11 apply (zenon_L148_); trivial. % 0.92/1.11 apply (zenon_L616_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.11 apply (zenon_L96_); trivial. % 0.92/1.11 exact (zenon_H1b zenon_H1c). % 0.92/1.11 (* end of lemma zenon_L617_ *) % 0.92/1.11 assert (zenon_L618_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> (~(hskp18)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (ndr1_0) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H76 zenon_H77 zenon_H104 zenon_H97 zenon_H102 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H133 zenon_H52 zenon_H4e zenon_H4b zenon_H1f zenon_H1b zenon_H3a zenon_H3e zenon_H53 zenon_H56 zenon_H64 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.11 apply (zenon_L9_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.11 apply (zenon_L25_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.11 apply (zenon_L592_); trivial. % 0.92/1.11 apply (zenon_L165_); trivial. % 0.92/1.11 (* end of lemma zenon_L618_ *) % 0.92/1.11 assert (zenon_L619_ : ((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1e9 zenon_H104 zenon_H121 zenon_H102 zenon_H7e zenon_H7d zenon_H7c zenon_H18c zenon_H18e zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_Ha. zenon_intro zenon_H1ea. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.11 apply (zenon_L592_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_Hfa | zenon_intro zenon_H18f ]. % 0.92/1.11 apply (zenon_L595_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H18d ]. % 0.92/1.11 apply (zenon_L160_); trivial. % 0.92/1.11 exact (zenon_H18c zenon_H18d). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.11 apply (zenon_L30_); trivial. % 0.92/1.11 apply (zenon_L64_); trivial. % 0.92/1.11 (* end of lemma zenon_L619_ *) % 0.92/1.11 assert (zenon_L620_ : ((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H99 zenon_H104 zenon_H97 zenon_H102 zenon_He zenon_Hd zenon_Hc zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.11 apply (zenon_L592_); trivial. % 0.92/1.11 apply (zenon_L172_); trivial. % 0.92/1.11 (* end of lemma zenon_L620_ *) % 0.92/1.11 assert (zenon_L621_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a593))) -> (~(hskp30)) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H102 zenon_H2f4 zenon_H2f3 zenon_H117 zenon_H2f2 zenon_H37 zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.92/1.11 apply (zenon_L595_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H23 | zenon_intro zenon_H3d ]. % 0.92/1.11 apply (zenon_L13_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H2d | zenon_intro zenon_H38 ]. % 0.92/1.11 apply (zenon_L63_); trivial. % 0.92/1.11 exact (zenon_H37 zenon_H38). % 0.92/1.11 apply (zenon_L57_); trivial. % 0.92/1.11 (* end of lemma zenon_L621_ *) % 0.92/1.11 assert (zenon_L622_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (~(hskp30)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H121 zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H37 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H7e zenon_H7d zenon_H7c zenon_H102 zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.11 apply (zenon_L621_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.11 apply (zenon_L30_); trivial. % 0.92/1.11 apply (zenon_L64_); trivial. % 0.92/1.11 (* end of lemma zenon_L622_ *) % 0.92/1.11 assert (zenon_L623_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a593))) -> (c0_1 (a637)) -> (c1_1 (a637)) -> (c2_1 (a637)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H102 zenon_H2f4 zenon_H2f3 zenon_H117 zenon_H2f2 zenon_H40 zenon_H41 zenon_H42 zenon_H190 zenon_H191 zenon_H192 zenon_H1da zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.92/1.11 apply (zenon_L595_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.92/1.11 apply (zenon_L167_); trivial. % 0.92/1.11 apply (zenon_L57_); trivial. % 0.92/1.11 (* end of lemma zenon_L623_ *) % 0.92/1.11 assert (zenon_L624_ : ((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H4d zenon_H121 zenon_H1da zenon_H192 zenon_H191 zenon_H190 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H7e zenon_H7d zenon_H7c zenon_H102 zenon_He4 zenon_He5 zenon_He6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.11 apply (zenon_L623_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.11 apply (zenon_L30_); trivial. % 0.92/1.11 apply (zenon_L64_); trivial. % 0.92/1.11 (* end of lemma zenon_L624_ *) % 0.92/1.11 assert (zenon_L625_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hed zenon_H52 zenon_H1da zenon_H192 zenon_H191 zenon_H190 zenon_H102 zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H7c zenon_H7d zenon_H7e zenon_H121. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.92/1.11 apply (zenon_L622_); trivial. % 0.92/1.11 apply (zenon_L624_); trivial. % 0.92/1.11 (* end of lemma zenon_L625_ *) % 0.92/1.11 assert (zenon_L626_ : ((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H78 zenon_H104 zenon_H52 zenon_H1da zenon_H192 zenon_H191 zenon_H190 zenon_H102 zenon_H3a zenon_H7c zenon_H7d zenon_H7e zenon_H121 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.11 apply (zenon_L592_); trivial. % 0.92/1.11 apply (zenon_L625_); trivial. % 0.92/1.11 (* end of lemma zenon_L626_ *) % 0.92/1.11 assert (zenon_L627_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H87 zenon_H76 zenon_H104 zenon_H52 zenon_H1da zenon_H192 zenon_H191 zenon_H190 zenon_H102 zenon_H3a zenon_H121 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H133 zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.11 apply (zenon_L9_); trivial. % 0.92/1.11 apply (zenon_L626_); trivial. % 0.92/1.11 (* end of lemma zenon_L627_ *) % 0.92/1.11 assert (zenon_L628_ : ((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1f0 zenon_H9c zenon_H76 zenon_H77 zenon_H104 zenon_H97 zenon_H102 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H133 zenon_H52 zenon_H4e zenon_H1f zenon_H1b zenon_H3a zenon_H3e zenon_H56 zenon_H64 zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19 zenon_H121 zenon_H1da zenon_H8c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.11 apply (zenon_L618_); trivial. % 0.92/1.11 apply (zenon_L627_); trivial. % 0.92/1.11 apply (zenon_L620_); trivial. % 0.92/1.11 (* end of lemma zenon_L628_ *) % 0.92/1.11 assert (zenon_L629_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> ((hskp1)\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H155 zenon_H1ef zenon_H1da zenon_H8c zenon_H1ec zenon_H121 zenon_H18e zenon_Hae zenon_Hac zenon_H1de zenon_H16d zenon_H19 zenon_H17 zenon_H64 zenon_H56 zenon_H3e zenon_H3a zenon_H1b zenon_H1f zenon_H4e zenon_H52 zenon_H133 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H102 zenon_H97 zenon_H104 zenon_H77 zenon_H76 zenon_H9c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.11 apply (zenon_L618_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.11 apply (zenon_L9_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.11 apply (zenon_L159_); trivial. % 0.92/1.11 apply (zenon_L619_); trivial. % 0.92/1.11 apply (zenon_L620_); trivial. % 0.92/1.11 apply (zenon_L628_); trivial. % 0.92/1.11 (* end of lemma zenon_L629_ *) % 0.92/1.11 assert (zenon_L630_ : ((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a605)) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp11)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1f0 zenon_H14d zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha0 zenon_H9e zenon_H9f zenon_H19e zenon_H19f zenon_H1a0 zenon_H22e zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.92/1.11 apply (zenon_L590_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H22f ]. % 0.92/1.11 apply (zenon_L120_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_L148_); trivial. % 0.92/1.11 apply (zenon_L86_); trivial. % 0.92/1.11 exact (zenon_H14a zenon_H14b). % 0.92/1.11 (* end of lemma zenon_L630_ *) % 0.92/1.11 assert (zenon_L631_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (c0_1 (a605)) -> (~(c3_1 (a605))) -> (c2_1 (a605)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp12)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1ef zenon_H14d zenon_H14a zenon_H19e zenon_H19f zenon_H1a0 zenon_H9f zenon_H9e zenon_Ha0 zenon_H22e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H1f3. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.11 apply (zenon_L175_); trivial. % 0.92/1.11 apply (zenon_L630_); trivial. % 0.92/1.11 (* end of lemma zenon_L631_ *) % 0.92/1.11 assert (zenon_L632_ : ((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H99 zenon_H16d zenon_H1b8 zenon_Hc zenon_Hd zenon_He zenon_H97 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H1b zenon_Hac zenon_Hae. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.11 apply (zenon_L44_); trivial. % 0.92/1.11 apply (zenon_L495_); trivial. % 0.92/1.11 (* end of lemma zenon_L632_ *) % 0.92/1.11 assert (zenon_L633_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H9c zenon_H16d zenon_H1b8 zenon_Hc zenon_Hd zenon_He zenon_H97 zenon_H102 zenon_H1b zenon_Hac zenon_Hae zenon_Ha zenon_H19e zenon_H19f zenon_H1a0 zenon_H23e zenon_H240. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.11 apply (zenon_L225_); trivial. % 0.92/1.11 apply (zenon_L632_); trivial. % 0.92/1.11 (* end of lemma zenon_L633_ *) % 0.92/1.11 assert (zenon_L634_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((hskp1)\/((hskp21)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H155 zenon_H25a zenon_H14d zenon_H14a zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H240 zenon_H1a0 zenon_H19f zenon_H19e zenon_Hae zenon_Hac zenon_H1b zenon_H102 zenon_H97 zenon_H1b8 zenon_H16d zenon_H9c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.11 apply (zenon_L633_); trivial. % 0.92/1.11 apply (zenon_L605_); trivial. % 0.92/1.11 (* end of lemma zenon_L634_ *) % 0.92/1.11 assert (zenon_L635_ : ((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/((hskp13)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp1)\/((hskp21)\/(hskp4))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H170 zenon_H171 zenon_H168 zenon_H1ef zenon_H14d zenon_H19e zenon_H19f zenon_H1a0 zenon_H22e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9c zenon_H16d zenon_H1b8 zenon_H97 zenon_H102 zenon_H1b zenon_Hac zenon_Hae zenon_H240 zenon_H25a zenon_H174. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.11 apply (zenon_L631_); trivial. % 0.92/1.11 apply (zenon_L634_); trivial. % 0.92/1.11 apply (zenon_L98_); trivial. % 0.92/1.11 (* end of lemma zenon_L635_ *) % 0.92/1.11 assert (zenon_L636_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a593))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H292 zenon_Ha zenon_H2f3 zenon_H117 zenon_H2f2 zenon_H2f4. % 0.92/1.11 generalize (zenon_H292 (a593)). zenon_intro zenon_H303. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H303); [ zenon_intro zenon_H9 | zenon_intro zenon_H304 ]. % 0.92/1.11 exact (zenon_H9 zenon_Ha). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H2fa | zenon_intro zenon_H302 ]. % 0.92/1.11 exact (zenon_H2f3 zenon_H2fa). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H2fb | zenon_intro zenon_H2f9 ]. % 0.92/1.11 apply (zenon_L594_); trivial. % 0.92/1.11 exact (zenon_H2f9 zenon_H2f4). % 0.92/1.11 (* end of lemma zenon_L636_ *) % 0.92/1.11 assert (zenon_L637_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c2_1 (a593)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (ndr1_0) -> (c0_1 (a672)) -> (c2_1 (a672)) -> (c3_1 (a672)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H121 zenon_H2f4 zenon_H2f2 zenon_H2f3 zenon_H292 zenon_H7e zenon_H7d zenon_H7c zenon_Ha zenon_H2e zenon_H2f zenon_H30. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.11 apply (zenon_L636_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.11 apply (zenon_L30_); trivial. % 0.92/1.11 apply (zenon_L14_); trivial. % 0.92/1.11 (* end of lemma zenon_L637_ *) % 0.92/1.11 assert (zenon_L638_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a593))) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H102 zenon_H2f4 zenon_H2f3 zenon_H117 zenon_H2f2 zenon_H3f zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.92/1.11 apply (zenon_L595_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.92/1.11 apply (zenon_L89_); trivial. % 0.92/1.11 apply (zenon_L57_); trivial. % 0.92/1.11 (* end of lemma zenon_L638_ *) % 0.92/1.11 assert (zenon_L639_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H121 zenon_H3f zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H7e zenon_H7d zenon_H7c zenon_H102 zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.11 apply (zenon_L638_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.11 apply (zenon_L30_); trivial. % 0.92/1.11 apply (zenon_L64_); trivial. % 0.92/1.11 (* end of lemma zenon_L639_ *) % 0.92/1.11 assert (zenon_L640_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H104 zenon_H3e zenon_H2a7 zenon_H102 zenon_H7c zenon_H7d zenon_H7e zenon_H121 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1d zenon_H1f zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.11 apply (zenon_L592_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.92/1.11 apply (zenon_L12_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.11 apply (zenon_L220_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_L637_); trivial. % 0.92/1.11 apply (zenon_L639_); trivial. % 0.92/1.11 (* end of lemma zenon_L640_ *) % 0.92/1.11 assert (zenon_L641_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (~(hskp12)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H71 zenon_H308 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H12e | zenon_intro zenon_H309 ]. % 0.92/1.11 apply (zenon_L590_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H65 | zenon_intro zenon_H6 ]. % 0.92/1.11 apply (zenon_L26_); trivial. % 0.92/1.11 exact (zenon_H5 zenon_H6). % 0.92/1.11 (* end of lemma zenon_L641_ *) % 0.92/1.11 assert (zenon_L642_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H87 zenon_H77 zenon_H308 zenon_H5 zenon_H133 zenon_H17 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H121 zenon_H102 zenon_H2a7 zenon_H3e zenon_H104. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.11 apply (zenon_L640_); trivial. % 0.92/1.11 apply (zenon_L641_); trivial. % 0.92/1.11 (* end of lemma zenon_L642_ *) % 0.92/1.11 assert (zenon_L643_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (ndr1_0) -> (~(hskp5)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H8c zenon_H77 zenon_H308 zenon_H5 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H121 zenon_H102 zenon_H2a7 zenon_H3e zenon_H133 zenon_H17 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H6f zenon_Hee zenon_H104. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.11 apply (zenon_L593_); trivial. % 0.92/1.11 apply (zenon_L642_); trivial. % 0.92/1.11 (* end of lemma zenon_L643_ *) % 0.92/1.11 assert (zenon_L644_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H71 zenon_H104 zenon_H265 zenon_Hc zenon_Hd zenon_He zenon_H102 zenon_H97 zenon_H26 zenon_H25 zenon_H24 zenon_H233 zenon_H232 zenon_H231 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.11 apply (zenon_L592_); trivial. % 0.92/1.11 apply (zenon_L330_); trivial. % 0.92/1.11 (* end of lemma zenon_L644_ *) % 0.92/1.11 assert (zenon_L645_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> (~(hskp10)) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hed zenon_H223 zenon_H90 zenon_H8f zenon_H8e zenon_H1. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H8d | zenon_intro zenon_H224 ]. % 0.92/1.11 apply (zenon_L34_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He3 | zenon_intro zenon_H2 ]. % 0.92/1.11 apply (zenon_L57_); trivial. % 0.92/1.11 exact (zenon_H1 zenon_H2). % 0.92/1.11 (* end of lemma zenon_L645_ *) % 0.92/1.11 assert (zenon_L646_ : ((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H99 zenon_H104 zenon_H223 zenon_H1 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.11 apply (zenon_L592_); trivial. % 0.92/1.11 apply (zenon_L645_); trivial. % 0.92/1.11 (* end of lemma zenon_L646_ *) % 0.92/1.11 assert (zenon_L647_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H155 zenon_H9c zenon_H223 zenon_H1 zenon_H76 zenon_H77 zenon_H104 zenon_H97 zenon_H102 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H133 zenon_H52 zenon_H4e zenon_H1f zenon_H1b zenon_H3a zenon_H3e zenon_H56 zenon_H64 zenon_H17 zenon_H19 zenon_H2a7 zenon_H121 zenon_H233 zenon_H232 zenon_H231 zenon_H265 zenon_H8c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.11 apply (zenon_L618_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.11 apply (zenon_L9_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.11 apply (zenon_L640_); trivial. % 0.92/1.11 apply (zenon_L644_); trivial. % 0.92/1.11 apply (zenon_L646_); trivial. % 0.92/1.11 (* end of lemma zenon_L647_ *) % 0.92/1.11 assert (zenon_L648_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H174 zenon_H9c zenon_H223 zenon_H1 zenon_H76 zenon_H97 zenon_H52 zenon_H4e zenon_H3a zenon_H56 zenon_H64 zenon_H19 zenon_H265 zenon_H104 zenon_Hee zenon_H6f zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133 zenon_H3e zenon_H2a7 zenon_H102 zenon_H121 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1f zenon_H308 zenon_H77 zenon_H8c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.11 apply (zenon_L643_); trivial. % 0.92/1.11 apply (zenon_L647_); trivial. % 0.92/1.11 (* end of lemma zenon_L648_ *) % 0.92/1.11 assert (zenon_L649_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c2_1 (a593)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (ndr1_0) -> (c0_1 (a672)) -> (c2_1 (a672)) -> (c3_1 (a672)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H121 zenon_H2f4 zenon_H2f2 zenon_H2f3 zenon_H292 zenon_H19f zenon_H1a0 zenon_H19e zenon_H102 zenon_Ha zenon_H2e zenon_H2f zenon_H30. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.11 apply (zenon_L636_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.11 apply (zenon_L119_); trivial. % 0.92/1.11 apply (zenon_L14_); trivial. % 0.92/1.11 (* end of lemma zenon_L649_ *) % 0.92/1.11 assert (zenon_L650_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a620))) -> (~(c2_1 (a620))) -> (c1_1 (a620)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c2_1 (a672)) -> (c3_1 (a672)) -> (c0_1 (a672)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1be zenon_H1 zenon_H19e zenon_H19f zenon_H1a0 zenon_H8e zenon_H8f zenon_H90 zenon_H223 zenon_H2f zenon_H30 zenon_H2e zenon_Ha zenon_H3f zenon_H1b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.92/1.11 apply (zenon_L275_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.11 apply (zenon_L269_); trivial. % 0.92/1.11 exact (zenon_H1b zenon_H1c). % 0.92/1.11 (* end of lemma zenon_L650_ *) % 0.92/1.11 assert (zenon_L651_ : ((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a620))) -> (~(c2_1 (a620))) -> (c1_1 (a620)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H39 zenon_H2a7 zenon_H233 zenon_H232 zenon_H231 zenon_H102 zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H121 zenon_H1be zenon_H1 zenon_H19e zenon_H19f zenon_H1a0 zenon_H8e zenon_H8f zenon_H90 zenon_H223 zenon_H1b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.11 apply (zenon_L220_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_L649_); trivial. % 0.92/1.11 apply (zenon_L650_); trivial. % 0.92/1.11 (* end of lemma zenon_L651_ *) % 0.92/1.11 assert (zenon_L652_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H3e zenon_H2a7 zenon_H223 zenon_H1 zenon_H90 zenon_H8f zenon_H8e zenon_H1be zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H121 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1d zenon_H1f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.92/1.11 apply (zenon_L12_); trivial. % 0.92/1.11 apply (zenon_L651_); trivial. % 0.92/1.11 (* end of lemma zenon_L652_ *) % 0.92/1.11 assert (zenon_L653_ : ((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a593)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H99 zenon_H77 zenon_H308 zenon_H5 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H121 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H2f4 zenon_H2f2 zenon_H2f3 zenon_H1be zenon_H1 zenon_H223 zenon_H2a7 zenon_H3e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.11 apply (zenon_L652_); trivial. % 0.92/1.11 apply (zenon_L641_); trivial. % 0.92/1.11 (* end of lemma zenon_L653_ *) % 0.92/1.11 assert (zenon_L654_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (ndr1_0) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H25a zenon_H14d zenon_H14a zenon_H240 zenon_H1a0 zenon_H19f zenon_H19e zenon_Ha zenon_H3e zenon_H2a7 zenon_H223 zenon_H1 zenon_H1be zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H102 zenon_H121 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1f zenon_H5 zenon_H308 zenon_H77 zenon_H9c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.11 apply (zenon_L225_); trivial. % 0.92/1.11 apply (zenon_L653_); trivial. % 0.92/1.11 apply (zenon_L605_); trivial. % 0.92/1.11 (* end of lemma zenon_L654_ *) % 0.92/1.11 assert (zenon_L655_ : ((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a620))) -> (~(c2_1 (a620))) -> (c1_1 (a620)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H39 zenon_H2a7 zenon_H233 zenon_H232 zenon_H231 zenon_H7c zenon_H7d zenon_H7e zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H121 zenon_H1be zenon_H1 zenon_H19e zenon_H19f zenon_H1a0 zenon_H8e zenon_H8f zenon_H90 zenon_H223 zenon_H1b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.11 apply (zenon_L220_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_L637_); trivial. % 0.92/1.11 apply (zenon_L650_); trivial. % 0.92/1.11 (* end of lemma zenon_L655_ *) % 0.92/1.11 assert (zenon_L656_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> (c1_1 (a620)) -> (~(c2_1 (a620))) -> (~(c0_1 (a620))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H3e zenon_H2a7 zenon_H223 zenon_H1 zenon_H1a0 zenon_H19f zenon_H19e zenon_H90 zenon_H8f zenon_H8e zenon_H1be zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H7c zenon_H7d zenon_H7e zenon_H121 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1d zenon_H1f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.92/1.11 apply (zenon_L12_); trivial. % 0.92/1.11 apply (zenon_L655_); trivial. % 0.92/1.11 (* end of lemma zenon_L656_ *) % 0.92/1.11 assert (zenon_L657_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> (c2_1 (a672)) -> (c3_1 (a672)) -> (c0_1 (a672)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H168 zenon_H15d zenon_H15c zenon_H15b zenon_H2f zenon_H30 zenon_H2e zenon_Ha zenon_H3f zenon_H1b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.92/1.11 apply (zenon_L95_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.11 apply (zenon_L269_); trivial. % 0.92/1.11 exact (zenon_H1b zenon_H1c). % 0.92/1.11 (* end of lemma zenon_L657_ *) % 0.92/1.11 assert (zenon_L658_ : ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp13)) -> (~(c2_1 (a651))) -> (c3_1 (a651)) -> (c1_1 (a651)) -> (~(c0_1 (a593))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H102 zenon_H18c zenon_H66 zenon_H68 zenon_H67 zenon_H2f2 zenon_H117 zenon_H2f3 zenon_H2f4 zenon_H18e zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfa | zenon_intro zenon_H103 ]. % 0.92/1.11 apply (zenon_L595_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfe | zenon_intro zenon_He3 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_Hfa | zenon_intro zenon_H18f ]. % 0.92/1.11 apply (zenon_L595_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H18d ]. % 0.92/1.11 apply (zenon_L186_); trivial. % 0.92/1.11 exact (zenon_H18c zenon_H18d). % 0.92/1.11 apply (zenon_L57_); trivial. % 0.92/1.11 (* end of lemma zenon_L658_ *) % 0.92/1.11 assert (zenon_L659_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> (~(c2_1 (a651))) -> (~(hskp13)) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hed zenon_H121 zenon_H18e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H67 zenon_H68 zenon_H66 zenon_H18c zenon_H19f zenon_H1a0 zenon_H19e zenon_H102. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.11 apply (zenon_L658_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.11 apply (zenon_L119_); trivial. % 0.92/1.11 apply (zenon_L64_); trivial. % 0.92/1.11 (* end of lemma zenon_L659_ *) % 0.92/1.11 assert (zenon_L660_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H71 zenon_H104 zenon_H121 zenon_H19e zenon_H19f zenon_H1a0 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H18e zenon_H18c zenon_H102 zenon_H15b zenon_H15c zenon_H15d zenon_H1d3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.11 apply (zenon_L240_); trivial. % 0.92/1.11 apply (zenon_L659_); trivial. % 0.92/1.11 (* end of lemma zenon_L660_ *) % 0.92/1.11 assert (zenon_L661_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a593)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H77 zenon_H104 zenon_H18e zenon_H18c zenon_H1d3 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H121 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H2f4 zenon_H2f2 zenon_H2f3 zenon_H168 zenon_H15d zenon_H15c zenon_H15b zenon_H2a7 zenon_H3e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.92/1.11 apply (zenon_L12_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.11 apply (zenon_L220_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_L649_); trivial. % 0.92/1.11 apply (zenon_L657_); trivial. % 0.92/1.11 apply (zenon_L660_); trivial. % 0.92/1.11 (* end of lemma zenon_L661_ *) % 0.92/1.11 assert (zenon_L662_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c1_1 (a614)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a672)) -> (c3_1 (a672)) -> (c0_1 (a672)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(hskp1)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1be zenon_H1 zenon_H19e zenon_H19f zenon_H1a0 zenon_H191 zenon_H190 zenon_H192 zenon_H223 zenon_H15b zenon_H15c zenon_H15d zenon_H102 zenon_H1d5 zenon_H2f zenon_H30 zenon_H2e zenon_Ha zenon_H3f zenon_H1b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.92/1.11 apply (zenon_L338_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.11 apply (zenon_L269_); trivial. % 0.92/1.11 exact (zenon_H1b zenon_H1c). % 0.92/1.11 (* end of lemma zenon_L662_ *) % 0.92/1.11 assert (zenon_L663_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c1_1 (a614)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H3e zenon_H2a7 zenon_H1d5 zenon_H191 zenon_H190 zenon_H192 zenon_H1 zenon_H223 zenon_H15d zenon_H15c zenon_H15b zenon_H1be zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H121 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1d zenon_H1f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.92/1.11 apply (zenon_L12_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.11 apply (zenon_L220_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_L649_); trivial. % 0.92/1.11 apply (zenon_L662_); trivial. % 0.92/1.11 (* end of lemma zenon_L663_ *) % 0.92/1.11 assert (zenon_L664_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H97 zenon_H192 zenon_H190 zenon_H191 zenon_H1d0 zenon_He zenon_Hd zenon_Hc zenon_H102 zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8d | zenon_intro zenon_H98 ]. % 0.92/1.11 apply (zenon_L196_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.92/1.11 apply (zenon_L6_); trivial. % 0.92/1.11 apply (zenon_L64_); trivial. % 0.92/1.11 (* end of lemma zenon_L664_ *) % 0.92/1.11 assert (zenon_L665_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hed zenon_H1d5 zenon_H7e zenon_H7d zenon_H7c zenon_H15d zenon_H15c zenon_H15b zenon_H97 zenon_H192 zenon_H190 zenon_H191 zenon_He zenon_Hd zenon_Hc zenon_H102. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7b | zenon_intro zenon_H1d6 ]. % 0.92/1.11 apply (zenon_L30_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H15a | zenon_intro zenon_H1d0 ]. % 0.92/1.11 apply (zenon_L95_); trivial. % 0.92/1.11 apply (zenon_L664_); trivial. % 0.92/1.11 (* end of lemma zenon_L665_ *) % 0.92/1.11 assert (zenon_L666_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (c1_1 (a614)) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H71 zenon_H104 zenon_H1d5 zenon_H191 zenon_H190 zenon_H192 zenon_Hc zenon_Hd zenon_He zenon_H102 zenon_H97 zenon_H7e zenon_H7d zenon_H7c zenon_H15b zenon_H15c zenon_H15d zenon_H1d3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.11 apply (zenon_L240_); trivial. % 0.92/1.11 apply (zenon_L665_); trivial. % 0.92/1.11 (* end of lemma zenon_L666_ *) % 0.92/1.11 assert (zenon_L667_ : ((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a593)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H16c zenon_H174 zenon_H8c zenon_H56 zenon_H97 zenon_H77 zenon_H104 zenon_H18e zenon_H1d3 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H121 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H2f4 zenon_H2f2 zenon_H2f3 zenon_H168 zenon_H2a7 zenon_H3e zenon_H1d5 zenon_H1 zenon_H223 zenon_H1be zenon_H308 zenon_H1ef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.11 apply (zenon_L661_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.11 apply (zenon_L663_); trivial. % 0.92/1.11 apply (zenon_L641_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.11 apply (zenon_L661_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.11 apply (zenon_L663_); trivial. % 0.92/1.11 apply (zenon_L241_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.11 apply (zenon_L663_); trivial. % 0.92/1.11 apply (zenon_L666_); trivial. % 0.92/1.11 (* end of lemma zenon_L667_ *) % 0.92/1.11 assert (zenon_L668_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> (~(hskp20)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp24)) -> (~(hskp1)) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H52 zenon_H2a7 zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H7c zenon_H7d zenon_H7e zenon_H121 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1dc zenon_H1de zenon_H1f zenon_H1d zenon_H1b zenon_H24 zenon_H25 zenon_H26 zenon_H3a zenon_H3e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H37 | zenon_intro zenon_H4d ]. % 0.92/1.11 apply (zenon_L17_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H40. zenon_intro zenon_H50. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.92/1.11 apply (zenon_L12_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.11 apply (zenon_L246_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.11 apply (zenon_L637_); trivial. % 0.92/1.11 apply (zenon_L18_); trivial. % 0.92/1.11 (* end of lemma zenon_L668_ *) % 0.92/1.11 assert (zenon_L669_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> (~(c2_1 (a651))) -> (~(hskp13)) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Hed zenon_H121 zenon_H18e zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H67 zenon_H68 zenon_H66 zenon_H18c zenon_H7e zenon_H7d zenon_H7c zenon_H102. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.11 apply (zenon_L658_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.11 apply (zenon_L30_); trivial. % 0.92/1.11 apply (zenon_L64_); trivial. % 0.92/1.11 (* end of lemma zenon_L669_ *) % 0.92/1.11 assert (zenon_L670_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H71 zenon_H104 zenon_H121 zenon_H7e zenon_H7d zenon_H7c zenon_H18e zenon_H18c zenon_H102 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.12 apply (zenon_L592_); trivial. % 0.92/1.12 apply (zenon_L669_); trivial. % 0.92/1.12 (* end of lemma zenon_L670_ *) % 0.92/1.12 assert (zenon_L671_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a600)) -> (~(c2_1 (a600))) -> (~(c1_1 (a600))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (c2_1 (a593)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H77 zenon_H104 zenon_H18e zenon_H18c zenon_H102 zenon_H17 zenon_H133 zenon_H3e zenon_H3a zenon_H26 zenon_H25 zenon_H24 zenon_H1b zenon_H1f zenon_H1de zenon_H1dc zenon_H1c5 zenon_H25e zenon_H1c4 zenon_H121 zenon_H7e zenon_H7d zenon_H7c zenon_H2f4 zenon_H2f2 zenon_H2f3 zenon_H2a7 zenon_H52. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L668_); trivial. % 0.92/1.12 apply (zenon_L670_); trivial. % 0.92/1.12 (* end of lemma zenon_L671_ *) % 0.92/1.12 assert (zenon_L672_ : ((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp13)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H87 zenon_H76 zenon_H1ec zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H52 zenon_H2a7 zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H121 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1de zenon_H1f zenon_H1b zenon_H3a zenon_H3e zenon_H133 zenon_H102 zenon_H18c zenon_H18e zenon_H104 zenon_H77 zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.12 apply (zenon_L9_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.12 apply (zenon_L671_); trivial. % 0.92/1.12 apply (zenon_L252_); trivial. % 0.92/1.12 (* end of lemma zenon_L672_ *) % 0.92/1.12 assert (zenon_L673_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H155 zenon_H1ef zenon_H1da zenon_H8c zenon_H1ec zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H2a7 zenon_H121 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H1de zenon_H18e zenon_H19 zenon_H17 zenon_H64 zenon_H56 zenon_H3e zenon_H3a zenon_H1b zenon_H1f zenon_H4e zenon_H52 zenon_H133 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H102 zenon_H97 zenon_H104 zenon_H77 zenon_H76 zenon_H9c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_L618_); trivial. % 0.92/1.12 apply (zenon_L672_); trivial. % 0.92/1.12 apply (zenon_L620_); trivial. % 0.92/1.12 apply (zenon_L628_); trivial. % 0.92/1.12 (* end of lemma zenon_L673_ *) % 0.92/1.12 assert (zenon_L674_ : (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47)))))) -> (ndr1_0) -> (~(c1_1 (a615))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c0_1 (a615)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H141 zenon_Ha zenon_Hb2 zenon_H164 zenon_Hb3. % 0.92/1.12 generalize (zenon_H141 (a615)). zenon_intro zenon_H30a. % 0.92/1.12 apply (zenon_imply_s _ _ zenon_H30a); [ zenon_intro zenon_H9 | zenon_intro zenon_H30b ]. % 0.92/1.12 exact (zenon_H9 zenon_Ha). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H30c ]. % 0.92/1.12 exact (zenon_Hb2 zenon_Hb8). % 0.92/1.12 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H267 | zenon_intro zenon_Hba ]. % 0.92/1.12 apply (zenon_L260_); trivial. % 0.92/1.12 exact (zenon_Hba zenon_Hb3). % 0.92/1.12 (* end of lemma zenon_L674_ *) % 0.92/1.12 assert (zenon_L675_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c0_1 (a615)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(c1_1 (a615))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H14d zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Hb3 zenon_H164 zenon_Hb2 zenon_Ha zenon_H14a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.92/1.12 apply (zenon_L590_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.92/1.12 apply (zenon_L674_); trivial. % 0.92/1.12 exact (zenon_H14a zenon_H14b). % 0.92/1.12 (* end of lemma zenon_L675_ *) % 0.92/1.12 assert (zenon_L676_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H177 zenon_H25a zenon_H240 zenon_H1a0 zenon_H19f zenon_H19e zenon_H223 zenon_H1 zenon_H14d zenon_H14a zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1b zenon_H1be zenon_H9c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.12 apply (zenon_L225_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.92/1.12 apply (zenon_L275_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.12 apply (zenon_L675_); trivial. % 0.92/1.12 exact (zenon_H1b zenon_H1c). % 0.92/1.12 apply (zenon_L605_); trivial. % 0.92/1.12 (* end of lemma zenon_L676_ *) % 0.92/1.12 assert (zenon_L677_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c0_1 (a620))) -> (~(c2_1 (a620))) -> (c1_1 (a620)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (c0_1 (a603)) -> (~(c1_1 (a603))) -> (~(c2_1 (a603))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2)))))) -> (~(hskp1)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1be zenon_H1 zenon_H19e zenon_H19f zenon_H1a0 zenon_H8e zenon_H8f zenon_H90 zenon_H223 zenon_H227 zenon_H225 zenon_H226 zenon_Ha zenon_H23 zenon_H1b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.92/1.12 apply (zenon_L275_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.12 apply (zenon_L293_); trivial. % 0.92/1.12 exact (zenon_H1b zenon_H1c). % 0.92/1.12 (* end of lemma zenon_L677_ *) % 0.92/1.12 assert (zenon_L678_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c0_1 (a603)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H14d zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H227 zenon_H164 zenon_H225 zenon_Ha zenon_H14a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.92/1.12 apply (zenon_L590_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.92/1.12 apply (zenon_L289_); trivial. % 0.92/1.12 exact (zenon_H14a zenon_H14b). % 0.92/1.12 (* end of lemma zenon_L678_ *) % 0.92/1.12 assert (zenon_L679_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (~(c2_1 (a651))) -> (c1_1 (a651)) -> (c3_1 (a651)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp1)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1be zenon_H1 zenon_H19e zenon_H19f zenon_H1a0 zenon_Hd3 zenon_H66 zenon_H67 zenon_H68 zenon_H223 zenon_H14a zenon_Ha zenon_H225 zenon_H227 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H14d zenon_H1b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.92/1.12 apply (zenon_L256_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.12 apply (zenon_L678_); trivial. % 0.92/1.12 exact (zenon_H1b zenon_H1c). % 0.92/1.12 (* end of lemma zenon_L679_ *) % 0.92/1.12 assert (zenon_L680_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c2_1 (a603)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a593)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H285 zenon_H1c3 zenon_H256 zenon_H174 zenon_H97 zenon_H265 zenon_H9c zenon_H77 zenon_H308 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H121 zenon_H102 zenon_H2f4 zenon_H2f2 zenon_H2f3 zenon_H1be zenon_H223 zenon_H2a7 zenon_H3e zenon_H19e zenon_H19f zenon_H1a0 zenon_H240 zenon_H14d zenon_H25a zenon_H1ef zenon_H1d5 zenon_H168 zenon_H1d3 zenon_H18e zenon_H104 zenon_H56 zenon_H8c zenon_H171. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H227. zenon_intro zenon_H287. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L654_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.12 apply (zenon_L225_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L36_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H230 | zenon_intro zenon_H266 ]. % 0.92/1.12 apply (zenon_L220_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd3 ]. % 0.92/1.12 apply (zenon_L677_); trivial. % 0.92/1.12 apply (zenon_L679_); trivial. % 0.92/1.12 apply (zenon_L605_); trivial. % 0.92/1.12 apply (zenon_L667_); trivial. % 0.92/1.12 apply (zenon_L244_); trivial. % 0.92/1.12 (* end of lemma zenon_L680_ *) % 0.92/1.12 assert (zenon_L681_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a593))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2a7 zenon_H233 zenon_H232 zenon_H231 zenon_H102 zenon_H2f4 zenon_H2f3 zenon_H117 zenon_H2f2 zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.12 apply (zenon_L220_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.12 apply (zenon_L636_); trivial. % 0.92/1.12 apply (zenon_L638_); trivial. % 0.92/1.12 (* end of lemma zenon_L681_ *) % 0.92/1.12 assert (zenon_L682_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c2_1 (a593)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))) -> (c3_1 (a599)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1be zenon_H2f4 zenon_H2f2 zenon_H2f3 zenon_H292 zenon_H1f4 zenon_H7b zenon_H1f6 zenon_Ha zenon_H1b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.92/1.12 apply (zenon_L616_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.12 apply (zenon_L176_); trivial. % 0.92/1.12 exact (zenon_H1b zenon_H1c). % 0.92/1.12 (* end of lemma zenon_L682_ *) % 0.92/1.12 assert (zenon_L683_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp1)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (ndr1_0) -> (c1_1 (a595)) -> (c2_1 (a595)) -> (c3_1 (a595)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H121 zenon_H231 zenon_H232 zenon_H233 zenon_H2a7 zenon_H1b zenon_H1f6 zenon_H1f4 zenon_H292 zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H1be zenon_H102 zenon_Ha zenon_He4 zenon_He5 zenon_He6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.12 apply (zenon_L681_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.12 apply (zenon_L682_); trivial. % 0.92/1.12 apply (zenon_L64_); trivial. % 0.92/1.12 (* end of lemma zenon_L683_ *) % 0.92/1.12 assert (zenon_L684_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a593)) -> (~(c0_1 (a593))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (~(c3_1 (a593))) -> (ndr1_0) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp11)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H14d zenon_H2f4 zenon_H2f2 zenon_H1ba zenon_H2f3 zenon_Ha zenon_H190 zenon_H191 zenon_H192 zenon_Hb2 zenon_Hb3 zenon_H2ac zenon_H14a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.92/1.12 apply (zenon_L590_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H164 | zenon_intro zenon_H2ad ]. % 0.92/1.12 apply (zenon_L674_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H292 ]. % 0.92/1.12 apply (zenon_L148_); trivial. % 0.92/1.12 apply (zenon_L616_); trivial. % 0.92/1.12 exact (zenon_H14a zenon_H14b). % 0.92/1.12 (* end of lemma zenon_L684_ *) % 0.92/1.12 assert (zenon_L685_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c3_1 (a599)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1be zenon_H14a zenon_H2ac zenon_Hb3 zenon_Hb2 zenon_H192 zenon_H191 zenon_H190 zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H14d zenon_H1f4 zenon_H7b zenon_H1f6 zenon_Ha zenon_H1b. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.92/1.12 apply (zenon_L684_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.12 apply (zenon_L176_); trivial. % 0.92/1.12 exact (zenon_H1b zenon_H1c). % 0.92/1.12 (* end of lemma zenon_L685_ *) % 0.92/1.12 assert (zenon_L686_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c2_1 (a593)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))) -> (~(hskp1)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (ndr1_0) -> (c0_1 (a672)) -> (c2_1 (a672)) -> (c3_1 (a672)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H121 zenon_H2f4 zenon_H2f2 zenon_H2f3 zenon_H292 zenon_H1b zenon_H1f6 zenon_H1f4 zenon_H15b zenon_H15c zenon_H15d zenon_H168 zenon_Ha zenon_H2e zenon_H2f zenon_H30. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.12 apply (zenon_L636_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.12 apply (zenon_L342_); trivial. % 0.92/1.12 apply (zenon_L14_); trivial. % 0.92/1.12 (* end of lemma zenon_L686_ *) % 0.92/1.12 assert (zenon_L687_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c2_1 (a593)) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H77 zenon_H308 zenon_H5 zenon_H1f zenon_H1b zenon_H231 zenon_H232 zenon_H233 zenon_H121 zenon_H15b zenon_H15c zenon_H15d zenon_H1f6 zenon_H1f4 zenon_H168 zenon_H2f4 zenon_H2f2 zenon_H2f3 zenon_H2a7 zenon_H3e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.92/1.12 apply (zenon_L12_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.12 apply (zenon_L220_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.12 apply (zenon_L686_); trivial. % 0.92/1.12 apply (zenon_L657_); trivial. % 0.92/1.12 apply (zenon_L641_); trivial. % 0.92/1.12 (* end of lemma zenon_L687_ *) % 0.92/1.12 assert (zenon_L688_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H71 zenon_H104 zenon_H265 zenon_Hc zenon_Hd zenon_He zenon_H102 zenon_H97 zenon_H26 zenon_H25 zenon_H24 zenon_H233 zenon_H232 zenon_H231 zenon_H15b zenon_H15c zenon_H15d zenon_H1d3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.12 apply (zenon_L240_); trivial. % 0.92/1.12 apply (zenon_L330_); trivial. % 0.92/1.12 (* end of lemma zenon_L688_ *) % 0.92/1.12 assert (zenon_L689_ : ((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> (c1_1 (a608)) -> (~(c3_1 (a608))) -> (~(c0_1 (a608))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H155 zenon_H9c zenon_H76 zenon_H77 zenon_H104 zenon_H97 zenon_H102 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H133 zenon_H52 zenon_H4e zenon_H1f zenon_H1b zenon_H3a zenon_H3e zenon_H56 zenon_H64 zenon_H17 zenon_H19 zenon_H2a7 zenon_H121 zenon_H233 zenon_H232 zenon_H231 zenon_H1d3 zenon_H15d zenon_H15c zenon_H15b zenon_H265 zenon_H8c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_L618_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.12 apply (zenon_L9_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L640_); trivial. % 0.92/1.12 apply (zenon_L688_); trivial. % 0.92/1.12 apply (zenon_L620_); trivial. % 0.92/1.12 (* end of lemma zenon_L689_ *) % 0.92/1.12 assert (zenon_L690_ : ((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp29)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H16c zenon_H174 zenon_H9c zenon_H76 zenon_H104 zenon_H97 zenon_H102 zenon_H133 zenon_H52 zenon_H4e zenon_H3a zenon_H56 zenon_H64 zenon_H17 zenon_H19 zenon_H1d3 zenon_H265 zenon_H8c zenon_H3e zenon_H2a7 zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H168 zenon_H1f4 zenon_H1f6 zenon_H121 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1f zenon_H308 zenon_H77. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L687_); trivial. % 0.92/1.12 apply (zenon_L689_); trivial. % 0.92/1.12 (* end of lemma zenon_L690_ *) % 0.92/1.12 assert (zenon_L691_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a605)) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(hskp11)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H14d zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha0 zenon_H9e zenon_H9f zenon_Ha zenon_H3f zenon_H14a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.92/1.12 apply (zenon_L590_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.92/1.12 apply (zenon_L86_); trivial. % 0.92/1.12 exact (zenon_H14a zenon_H14b). % 0.92/1.12 (* end of lemma zenon_L691_ *) % 0.92/1.12 assert (zenon_L692_ : ((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(c0_1 (a656))) -> (c1_1 (a656)) -> (c3_1 (a656)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Hed zenon_H3e zenon_H121 zenon_H15b zenon_H15c zenon_H15d zenon_H1f6 zenon_H1f4 zenon_H168 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H135 zenon_H136 zenon_H137 zenon_H102 zenon_H1b zenon_H1d zenon_H1f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H20 | zenon_intro zenon_H39 ]. % 0.92/1.12 apply (zenon_L12_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_Ha. zenon_intro zenon_H3b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H2e. zenon_intro zenon_H3c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H2f. zenon_intro zenon_H30. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.12 apply (zenon_L596_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.12 apply (zenon_L342_); trivial. % 0.92/1.12 apply (zenon_L14_); trivial. % 0.92/1.12 (* end of lemma zenon_L692_ *) % 0.92/1.12 assert (zenon_L693_ : ((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a608))) -> (~(c3_1 (a608))) -> (c1_1 (a608)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp1)) -> (~(hskp24)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H13e zenon_H104 zenon_H3e zenon_H121 zenon_H15b zenon_H15c zenon_H15d zenon_H1f6 zenon_H1f4 zenon_H168 zenon_H102 zenon_H1b zenon_H1d zenon_H1f zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Ha. zenon_intro zenon_H13f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H136. zenon_intro zenon_H140. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.12 apply (zenon_L592_); trivial. % 0.92/1.12 apply (zenon_L692_); trivial. % 0.92/1.12 (* end of lemma zenon_L693_ *) % 0.92/1.12 assert (zenon_L694_ : ((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H16c zenon_H174 zenon_H76 zenon_H1ec zenon_H265 zenon_H231 zenon_H232 zenon_H233 zenon_H1de zenon_H256 zenon_H19 zenon_H157 zenon_H104 zenon_H3e zenon_H121 zenon_H1f6 zenon_H1f4 zenon_H168 zenon_H102 zenon_H1b zenon_H1f zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133 zenon_H9e zenon_H9f zenon_Ha0 zenon_H128 zenon_H308 zenon_H77. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H126 | zenon_intro zenon_H13e ]. % 0.92/1.12 apply (zenon_L77_); trivial. % 0.92/1.12 apply (zenon_L693_); trivial. % 0.92/1.12 apply (zenon_L641_); trivial. % 0.92/1.12 apply (zenon_L534_); trivial. % 0.92/1.12 (* end of lemma zenon_L694_ *) % 0.92/1.12 assert (zenon_L695_ : ((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a656))/\((c3_1 (a656))/\(~(c0_1 (a656))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((hskp1)\/((hskp31)\/(hskp24))) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp25)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H170 zenon_H171 zenon_H174 zenon_H76 zenon_H1ec zenon_H265 zenon_H1de zenon_H19 zenon_H157 zenon_H104 zenon_H3e zenon_H121 zenon_H168 zenon_H102 zenon_H1f zenon_H17 zenon_H133 zenon_H128 zenon_H308 zenon_H77 zenon_H231 zenon_H232 zenon_H233 zenon_H2a7 zenon_H14d zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H1f6 zenon_H1f4 zenon_H1b zenon_H1be zenon_H256. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.12 apply (zenon_L220_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.12 apply (zenon_L220_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.12 apply (zenon_L682_); trivial. % 0.92/1.12 apply (zenon_L691_); trivial. % 0.92/1.12 apply (zenon_L39_); trivial. % 0.92/1.12 apply (zenon_L694_); trivial. % 0.92/1.12 (* end of lemma zenon_L695_ *) % 0.92/1.12 assert (zenon_L696_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a593)) -> (~(c0_1 (a593))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (~(c3_1 (a593))) -> (ndr1_0) -> (~(c2_1 (a614))) -> (~(c3_1 (a614))) -> (c1_1 (a614)) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp11)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H14d zenon_H2f4 zenon_H2f2 zenon_H1ba zenon_H2f3 zenon_Ha zenon_H190 zenon_H191 zenon_H192 zenon_H225 zenon_H227 zenon_H2ac zenon_H14a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.92/1.12 apply (zenon_L590_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H164 | zenon_intro zenon_H2ad ]. % 0.92/1.12 apply (zenon_L289_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H292 ]. % 0.92/1.12 apply (zenon_L148_); trivial. % 0.92/1.12 apply (zenon_L616_); trivial. % 0.92/1.12 exact (zenon_H14a zenon_H14b). % 0.92/1.12 (* end of lemma zenon_L696_ *) % 0.92/1.12 assert (zenon_L697_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a620))) -> (~(c2_1 (a620))) -> (c1_1 (a620)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp8)) -> (~(hskp14)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(c1_1 (a599))) -> (c3_1 (a599)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp1)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H71 zenon_H1be zenon_H1 zenon_H8e zenon_H8f zenon_H90 zenon_H223 zenon_H215 zenon_Ha7 zenon_H217 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1f6 zenon_H1f4 zenon_H1b8 zenon_H1b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.92/1.12 apply (zenon_L275_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H7b | zenon_intro zenon_H1b9 ]. % 0.92/1.12 apply (zenon_L176_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hd3 ]. % 0.92/1.12 apply (zenon_L120_); trivial. % 0.92/1.12 apply (zenon_L188_); trivial. % 0.92/1.12 exact (zenon_H1b zenon_H1c). % 0.92/1.12 (* end of lemma zenon_L697_ *) % 0.92/1.12 assert (zenon_L698_ : ((ndr1_0)/\((c2_1 (a602))/\((c3_1 (a602))/\(~(c0_1 (a602)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c2_1 (a603))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp28))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a672))/\((c2_1 (a672))/\(c3_1 (a672)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1))) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (c2_1 (a593)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp1)) -> ((hskp1)\/((hskp31)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp8))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H281 zenon_H282 zenon_H265 zenon_H171 zenon_H174 zenon_H8c zenon_H56 zenon_H97 zenon_H104 zenon_H18e zenon_H1d3 zenon_H168 zenon_H1d5 zenon_H308 zenon_H1ef zenon_H25a zenon_H14d zenon_H240 zenon_H3e zenon_H2a7 zenon_H223 zenon_H1be zenon_H2f3 zenon_H2f2 zenon_H2f4 zenon_H102 zenon_H121 zenon_H233 zenon_H232 zenon_H231 zenon_H1b zenon_H1f zenon_H1b8 zenon_H217 zenon_H1f4 zenon_H1f6 zenon_H77 zenon_H9c zenon_H172 zenon_H256 zenon_H1c3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.12 apply (zenon_L225_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L652_); trivial. % 0.92/1.12 apply (zenon_L697_); trivial. % 0.92/1.12 apply (zenon_L605_); trivial. % 0.92/1.12 apply (zenon_L676_); trivial. % 0.92/1.12 apply (zenon_L667_); trivial. % 0.92/1.12 apply (zenon_L244_); trivial. % 0.92/1.12 apply (zenon_L680_); trivial. % 0.92/1.12 (* end of lemma zenon_L698_ *) % 0.92/1.12 assert (zenon_L699_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> (~(hskp24)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H104 zenon_H102 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H1d zenon_H288 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.12 apply (zenon_L592_); trivial. % 0.92/1.12 apply (zenon_L530_); trivial. % 0.92/1.12 (* end of lemma zenon_L699_ *) % 0.92/1.12 assert (zenon_L700_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (ndr1_0) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H77 zenon_H308 zenon_H5 zenon_H133 zenon_H17 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Ha zenon_H288 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H102 zenon_H104. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L699_); trivial. % 0.92/1.12 apply (zenon_L641_); trivial. % 0.92/1.12 (* end of lemma zenon_L700_ *) % 0.92/1.12 assert (zenon_L701_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H104 zenon_H2da zenon_H2d8 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.12 apply (zenon_L592_); trivial. % 0.92/1.12 apply (zenon_L444_); trivial. % 0.92/1.12 (* end of lemma zenon_L701_ *) % 0.92/1.12 assert (zenon_L702_ : ((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c1_1 (a614)) -> (~(c3_1 (a614))) -> (~(c2_1 (a614))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2e5 zenon_H8c zenon_H104 zenon_H52 zenon_H1da zenon_H192 zenon_H191 zenon_H190 zenon_H102 zenon_H3a zenon_H121 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H133 zenon_H19 zenon_H17 zenon_He zenon_Hd zenon_Hc zenon_H27f zenon_H56 zenon_H64 zenon_H76. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_L468_); trivial. % 0.92/1.12 apply (zenon_L627_); trivial. % 0.92/1.12 (* end of lemma zenon_L702_ *) % 0.92/1.12 assert (zenon_L703_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a614))/\((~(c2_1 (a614)))/\(~(c3_1 (a614))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a637))/\((c1_1 (a637))/\(c2_1 (a637)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((c3_1 X61)\/(~(c1_1 X61))))))\/((forall X8 : zenon_U, ((ndr1_0)->((~(c0_1 X8))\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp30))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H174 zenon_H1ef zenon_H52 zenon_H1da zenon_H3a zenon_H2da zenon_H76 zenon_H64 zenon_H56 zenon_H27f zenon_H19 zenon_H18e zenon_H121 zenon_H8c zenon_H2e8 zenon_H104 zenon_H102 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H288 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133 zenon_H308 zenon_H77. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L700_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.12 apply (zenon_L701_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_L468_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L699_); trivial. % 0.92/1.12 apply (zenon_L670_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.12 apply (zenon_L701_); trivial. % 0.92/1.12 apply (zenon_L702_); trivial. % 0.92/1.12 (* end of lemma zenon_L703_ *) % 0.92/1.12 assert (zenon_L704_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47)))))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H209 zenon_Hb3 zenon_Hb2 zenon_H141 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Ha zenon_Haa. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H164 | zenon_intro zenon_H20a ]. % 0.92/1.12 apply (zenon_L674_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1d0 | zenon_intro zenon_Hab ]. % 0.92/1.12 apply (zenon_L442_); trivial. % 0.92/1.12 exact (zenon_Haa zenon_Hab). % 0.92/1.12 (* end of lemma zenon_L704_ *) % 0.92/1.12 assert (zenon_L705_ : ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (~(hskp21)) -> (ndr1_0) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (~(hskp11)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H14d zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_Haa zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_Hb2 zenon_Hb3 zenon_H209 zenon_H14a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H12e | zenon_intro zenon_H14f ]. % 0.92/1.12 apply (zenon_L590_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H141 | zenon_intro zenon_H14b ]. % 0.92/1.12 apply (zenon_L704_); trivial. % 0.92/1.12 exact (zenon_H14a zenon_H14b). % 0.92/1.12 (* end of lemma zenon_L705_ *) % 0.92/1.12 assert (zenon_L706_ : ((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H167 zenon_H77 zenon_H308 zenon_H5 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H1b8 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H288. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L504_); trivial. % 0.92/1.12 apply (zenon_L641_); trivial. % 0.92/1.12 (* end of lemma zenon_L706_ *) % 0.92/1.12 assert (zenon_L707_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H177 zenon_H16d zenon_H77 zenon_H308 zenon_H5 zenon_H1b8 zenon_H19e zenon_H19f zenon_H1a0 zenon_H102 zenon_H288 zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H209 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H14a zenon_H14d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.12 apply (zenon_L705_); trivial. % 0.92/1.12 apply (zenon_L706_); trivial. % 0.92/1.12 (* end of lemma zenon_L707_ *) % 0.92/1.12 assert (zenon_L708_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H177 zenon_H25a zenon_H240 zenon_H1a0 zenon_H19f zenon_H19e zenon_H14d zenon_H14a zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H209 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H102 zenon_H97 zenon_He zenon_Hd zenon_Hc zenon_H1b8 zenon_H16d zenon_H9c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.12 apply (zenon_L225_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.12 apply (zenon_L705_); trivial. % 0.92/1.12 apply (zenon_L495_); trivial. % 0.92/1.12 apply (zenon_L605_); trivial. % 0.92/1.12 (* end of lemma zenon_L708_ *) % 0.92/1.12 assert (zenon_L709_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a625)) -> (~(c1_1 (a625))) -> (~(c0_1 (a625))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp6)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/((hskp29)\/(hskp6))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H71 zenon_H64 zenon_H256 zenon_H2c6 zenon_H2c7 zenon_H223 zenon_H1 zenon_H265 zenon_H7e zenon_H7d zenon_H7c zenon_H233 zenon_H232 zenon_H231 zenon_H85 zenon_H242. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.12 apply (zenon_L226_); trivial. % 0.92/1.12 apply (zenon_L519_); trivial. % 0.92/1.12 (* end of lemma zenon_L709_ *) % 0.92/1.12 assert (zenon_L710_ : ((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (c2_1 (a605)) -> (c0_1 (a605)) -> (~(c3_1 (a605))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a609)) -> (~(c3_1 (a609))) -> (~(c1_1 (a609))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2e5 zenon_H8c zenon_H256 zenon_Ha0 zenon_H9f zenon_H9e zenon_H233 zenon_H232 zenon_H231 zenon_H19 zenon_H17 zenon_He zenon_Hd zenon_Hc zenon_H27f zenon_H56 zenon_H64 zenon_H76. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_L468_); trivial. % 0.92/1.12 apply (zenon_L522_); trivial. % 0.92/1.12 (* end of lemma zenon_L710_ *) % 0.92/1.12 assert (zenon_L711_ : ((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (c3_1 (a602)) -> (c2_1 (a602)) -> (~(c0_1 (a602))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H99 zenon_H64 zenon_H223 zenon_H1 zenon_H265 zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H1a0 zenon_H19f zenon_H19e zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H256. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.12 apply (zenon_L535_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.12 apply (zenon_L220_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.12 apply (zenon_L119_); trivial. % 0.92/1.12 apply (zenon_L539_); trivial. % 0.92/1.12 (* end of lemma zenon_L711_ *) % 0.92/1.12 assert (zenon_L712_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (ndr1_0) -> (~(c0_1 (a602))) -> (c2_1 (a602)) -> (c3_1 (a602)) -> (~(hskp15)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H9c zenon_H64 zenon_H223 zenon_H1 zenon_H265 zenon_H231 zenon_H232 zenon_H233 zenon_H102 zenon_H27f zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H256 zenon_Ha zenon_H19e zenon_H19f zenon_H1a0 zenon_H23e zenon_H240. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.12 apply (zenon_L225_); trivial. % 0.92/1.12 apply (zenon_L711_); trivial. % 0.92/1.12 (* end of lemma zenon_L712_ *) % 0.92/1.12 assert (zenon_L713_ : ((ndr1_0)/\((c2_1 (a602))/\((c3_1 (a602))/\(~(c0_1 (a602)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a605))/\((c2_1 (a605))/\(~(c3_1 (a605))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a619))/\((~(c1_1 (a619)))/\(~(c3_1 (a619))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/((hskp15)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a620))/\((~(c0_1 (a620)))/\(~(c2_1 (a620))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H281 zenon_H1c3 zenon_H25a zenon_H14d zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H240 zenon_H256 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H27f zenon_H102 zenon_H233 zenon_H232 zenon_H231 zenon_H265 zenon_H223 zenon_H64 zenon_H9c zenon_H1d5 zenon_H171. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.12 apply (zenon_L712_); trivial. % 0.92/1.12 apply (zenon_L605_); trivial. % 0.92/1.12 apply (zenon_L479_); trivial. % 0.92/1.12 apply (zenon_L244_); trivial. % 0.92/1.12 (* end of lemma zenon_L713_ *) % 0.92/1.12 assert (zenon_L714_ : ((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a600))) -> (~(c2_1 (a600))) -> (c3_1 (a600)) -> (~(c2_1 (a627))) -> (~(c3_1 (a627))) -> (c0_1 (a627)) -> (~(hskp20)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> (~(c0_1 (a625))) -> (~(c1_1 (a625))) -> (c3_1 (a625)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (c1_1 (a624)) -> (c0_1 (a624)) -> (~(c2_1 (a624))) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H71 zenon_H64 zenon_H223 zenon_H1 zenon_H265 zenon_H1c4 zenon_H25e zenon_H1c5 zenon_H24 zenon_H25 zenon_H26 zenon_H1dc zenon_H1de zenon_H231 zenon_H232 zenon_H233 zenon_H7c zenon_H7d zenon_H7e zenon_H27f zenon_H2de zenon_H2dd zenon_H2dc zenon_H2c7 zenon_H2c6 zenon_H256. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.12 apply (zenon_L516_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_Ha. zenon_intro zenon_H57. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.12 apply (zenon_L246_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.12 apply (zenon_L247_); trivial. % 0.92/1.12 apply (zenon_L518_); trivial. % 0.92/1.12 (* end of lemma zenon_L714_ *) % 0.92/1.12 assert (zenon_L715_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> (~(hskp5)) -> (~(hskp14)) -> (~(c1_1 (a600))) -> (c3_1 (a600)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp14)\/(hskp5))) -> (ndr1_0) -> (~(c3_1 (a605))) -> (c0_1 (a605)) -> (c2_1 (a605)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H256 zenon_H233 zenon_H232 zenon_H231 zenon_H6f zenon_Ha7 zenon_H1c4 zenon_H1c5 zenon_H2f0 zenon_Ha zenon_H9e zenon_H9f zenon_Ha0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H230 | zenon_intro zenon_H259 ]. % 0.92/1.12 apply (zenon_L220_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H7b | zenon_intro zenon_H9d ]. % 0.92/1.12 apply (zenon_L567_); trivial. % 0.92/1.12 apply (zenon_L39_); trivial. % 0.92/1.12 (* end of lemma zenon_L715_ *) % 0.92/1.12 assert (zenon_L716_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a627)) -> (~(c3_1 (a627))) -> (~(c2_1 (a627))) -> (ndr1_0) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> (c0_1 (a615)) -> (~(c1_1 (a615))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H16d zenon_H1de zenon_H1dc zenon_H26 zenon_H25 zenon_H24 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H209 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_Hb3 zenon_Hb2 zenon_H14a zenon_H14d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.12 apply (zenon_L705_); trivial. % 0.92/1.12 apply (zenon_L158_); trivial. % 0.92/1.12 (* end of lemma zenon_L716_ *) % 0.92/1.12 assert (zenon_L717_ : ((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a615))) -> (c0_1 (a615)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H78 zenon_H1ec zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H14d zenon_H14a zenon_Hb2 zenon_Hb3 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H209 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1de zenon_H16d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.12 apply (zenon_L716_); trivial. % 0.92/1.12 apply (zenon_L252_); trivial. % 0.92/1.12 (* end of lemma zenon_L717_ *) % 0.92/1.12 assert (zenon_L718_ : ((ndr1_0)/\((c0_1 (a615))/\((c2_1 (a615))/\(~(c1_1 (a615)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a598))) -> (~(c1_1 (a598))) -> (~(c0_1 (a598))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c3_1 X47)\/(~(c0_1 X47))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp21))) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a631))/\((c3_1 (a631))/\(~(c1_1 (a631))))))) -> (~(c1_1 (a609))) -> (~(c3_1 (a609))) -> (c2_1 (a609)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H177 zenon_H76 zenon_H1ec zenon_H265 zenon_H233 zenon_H232 zenon_H231 zenon_H14d zenon_H14a zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H209 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H1de zenon_H16d zenon_Hc zenon_Hd zenon_He zenon_H17 zenon_H19. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.12 apply (zenon_L9_); trivial. % 0.92/1.12 apply (zenon_L717_); trivial. % 0.92/1.12 (* end of lemma zenon_L718_ *) % 0.92/1.12 assert (zenon_L719_ : ((ndr1_0)/\((c1_1 (a608))/\((~(c0_1 (a608)))/\(~(c3_1 (a608)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a625))/\((~(c0_1 (a625)))/\(~(c1_1 (a625))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c1_1 (a594)) -> (c0_1 (a594)) -> (~(c3_1 (a594))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a593)) -> (~(c3_1 (a593))) -> (~(c0_1 (a593))) -> (~(hskp5)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp5)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H16c zenon_H8c zenon_H1d5 zenon_H2cf zenon_H2c7 zenon_H2c6 zenon_H133 zenon_H17 zenon_H2f4 zenon_H2f3 zenon_H2f2 zenon_H6f zenon_Hee zenon_H104. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H15d. zenon_intro zenon_H16f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H15b. zenon_intro zenon_H15c. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_L593_); trivial. % 0.92/1.12 apply (zenon_L465_); trivial. % 0.92/1.12 (* end of lemma zenon_L719_ *) % 0.92/1.12 assert (zenon_L720_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a609))/\((~(c1_1 (a609)))/\(~(c3_1 (a609))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a624))/\((c1_1 (a624))/\(~(c2_1 (a624))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a627))/\((~(c2_1 (a627)))/\(~(c3_1 (a627))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a630))/\((c3_1 (a630))/\(~(c2_1 (a630))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X74 : zenon_U, ((ndr1_0)->((c2_1 X74)\/((~(c0_1 X74))\/(~(c1_1 X74))))))\/(hskp29))) -> (~(c0_1 (a598))) -> (~(c1_1 (a598))) -> (~(c2_1 (a598))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp20))) -> (c3_1 (a599)) -> (~(c1_1 (a599))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c1_1 X33))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a618))/\((c1_1 (a618))/\(c3_1 (a618)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c1_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp19)\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a595))/\((c2_1 (a595))/\(c3_1 (a595)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c0_1 X52)\/((~(c1_1 X52))\/(~(c2_1 X52))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c0_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X41 : zenon_U, ((ndr1_0)->((~(c1_1 X41))\/((~(c2_1 X41))\/(~(c3_1 X41)))))))) -> (~(c3_1 (a594))) -> (c0_1 (a594)) -> (c1_1 (a594)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c3_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a593))) -> (~(c3_1 (a593))) -> (c2_1 (a593)) -> (~(hskp7)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((hskp28)\/(hskp7))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c0_1 X46)\/((c3_1 X46)\/(~(c2_1 X46))))))\/((forall X45 : zenon_U, ((ndr1_0)->((c2_1 X45)\/((~(c1_1 X45))\/(~(c3_1 X45))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a651))/\((c3_1 (a651))/\(~(c2_1 (a651))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H174 zenon_H2e8 zenon_H76 zenon_H1ec zenon_H27f zenon_H231 zenon_H232 zenon_H233 zenon_H1de zenon_H1f4 zenon_H1f6 zenon_H265 zenon_H1 zenon_H223 zenon_H256 zenon_H64 zenon_H19 zenon_H2da zenon_H104 zenon_H102 zenon_H2c6 zenon_H2c7 zenon_H2cf zenon_H288 zenon_Ha zenon_H2f2 zenon_H2f3 zenon_H2f4 zenon_H17 zenon_H133 zenon_H308 zenon_H77. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L700_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.12 apply (zenon_L701_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.12 apply (zenon_L9_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L699_); trivial. % 0.92/1.12 apply (zenon_L531_); trivial. % 0.92/1.12 apply (zenon_L252_); trivial. % 0.92/1.12 (* end of lemma zenon_L720_ *) % 0.92/1.12 apply NNPP. intro zenon_G. % 0.92/1.12 apply zenon_G. zenon_intro zenon_H30d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H311. zenon_intro zenon_H310. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H313. zenon_intro zenon_H312. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H315. zenon_intro zenon_H314. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H2b0. zenon_intro zenon_H316. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H2b1. zenon_intro zenon_H317. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H28b. zenon_intro zenon_H318. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H28c. zenon_intro zenon_H319. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H282. zenon_intro zenon_H31a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H1c2. zenon_intro zenon_H31b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H1c3. zenon_intro zenon_H31c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H171. zenon_intro zenon_H31d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H174. zenon_intro zenon_H31e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H1ef. zenon_intro zenon_H31f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H172. zenon_intro zenon_H320. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H25a. zenon_intro zenon_H321. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H9c. zenon_intro zenon_H322. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H2e8. zenon_intro zenon_H323. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H8c. zenon_intro zenon_H324. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H76. zenon_intro zenon_H325. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H1ec. zenon_intro zenon_H326. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H16d. zenon_intro zenon_H327. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H156. zenon_intro zenon_H328. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H32a. zenon_intro zenon_H329. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H77. zenon_intro zenon_H32b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H157. zenon_intro zenon_H32c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H173. zenon_intro zenon_H32d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H32f. zenon_intro zenon_H32e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H104. zenon_intro zenon_H330. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H64. zenon_intro zenon_H331. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H52. zenon_intro zenon_H332. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H3e. zenon_intro zenon_H333. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H335. zenon_intro zenon_H334. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H256. zenon_intro zenon_H336. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H265. zenon_intro zenon_H337. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H23c. zenon_intro zenon_H338. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H2a7. zenon_intro zenon_H339. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H121. zenon_intro zenon_H33a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H1be. zenon_intro zenon_H33b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H2ec. zenon_intro zenon_H33e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H2a5. zenon_intro zenon_H33f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H1d5. zenon_intro zenon_H340. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H1b8. zenon_intro zenon_H341. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H88. zenon_intro zenon_H342. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H2ee. zenon_intro zenon_H343. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H14c. zenon_intro zenon_H344. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H115. zenon_intro zenon_H345. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H347. zenon_intro zenon_H346. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H97. zenon_intro zenon_H348. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_Hdf. zenon_intro zenon_H349. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H223. zenon_intro zenon_H34a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H168. zenon_intro zenon_H34b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H1d3. zenon_intro zenon_H34c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H14d. zenon_intro zenon_H34d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H308. zenon_intro zenon_H34e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H18b. zenon_intro zenon_H34f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H133. zenon_intro zenon_H350. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H102. zenon_intro zenon_H351. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H18e. zenon_intro zenon_H352. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H273. zenon_intro zenon_H353. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H217. zenon_intro zenon_H354. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H22e. zenon_intro zenon_H355. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H2ae. zenon_intro zenon_H356. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H240. zenon_intro zenon_H357. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H359. zenon_intro zenon_H358. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hdd. zenon_intro zenon_H35a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H56. zenon_intro zenon_H35d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H19. zenon_intro zenon_H35e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_He0. zenon_intro zenon_H35f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H1de. zenon_intro zenon_H360. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H2ac. zenon_intro zenon_H361. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H209. zenon_intro zenon_H362. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H2f0. zenon_intro zenon_H363. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H1f3. zenon_intro zenon_H364. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H27f. zenon_intro zenon_H365. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H3a. zenon_intro zenon_H366. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H368. zenon_intro zenon_H367. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1da. zenon_intro zenon_H369. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H36b. zenon_intro zenon_H36a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H2d4. zenon_intro zenon_H36c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_Hf4. zenon_intro zenon_H36d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H36f. zenon_intro zenon_H36e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H242. zenon_intro zenon_H370. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H72. zenon_intro zenon_H371. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H288. zenon_intro zenon_H372. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2da. zenon_intro zenon_H373. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_Ha9. zenon_intro zenon_H374. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H131. zenon_intro zenon_H375. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H128. zenon_intro zenon_H376. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H29c. zenon_intro zenon_H377. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H4e. zenon_intro zenon_H378. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_Hdb. zenon_intro zenon_H379. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_Hee. zenon_intro zenon_H37a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H109. zenon_intro zenon_H37b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H37d. zenon_intro zenon_H37c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H1f. zenon_intro zenon_H37e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_Hae. zenon_intro zenon_H37f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H381. zenon_intro zenon_H380. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H7. zenon_intro zenon_H382. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H207. zenon_intro zenon_H383. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_Hb0. zenon_intro zenon_H384. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H23a | zenon_intro zenon_H385 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H1b | zenon_intro zenon_H386 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H387 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H105 | zenon_intro zenon_H388 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b2 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H28a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H85 | zenon_intro zenon_H28f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L4_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_L38_); trivial. % 0.92/1.12 apply (zenon_L99_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_Ha. zenon_intro zenon_H1c0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H17b. zenon_intro zenon_H1c1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L105_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.12 apply (zenon_L110_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.12 apply (zenon_L41_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.12 apply (zenon_L44_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H16b ]. % 0.92/1.12 apply (zenon_L112_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.12 apply (zenon_L96_); trivial. % 0.92/1.12 exact (zenon_H1b zenon_H1c). % 0.92/1.12 apply (zenon_L114_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_L134_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Ha. zenon_intro zenon_H290. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H1c5. zenon_intro zenon_H291. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1c4. zenon_intro zenon_H25e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L138_); trivial. % 0.92/1.12 apply (zenon_L99_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_Ha. zenon_intro zenon_H1c0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H17b. zenon_intro zenon_H1c1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L105_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.12 apply (zenon_L110_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.12 apply (zenon_L41_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_L147_); trivial. % 0.92/1.12 apply (zenon_L156_); trivial. % 0.92/1.12 apply (zenon_L174_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_L134_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H1f5. zenon_intro zenon_H28e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H1f4. zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L138_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.12 apply (zenon_L175_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.12 apply (zenon_L41_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L45_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H67. zenon_intro zenon_H74. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.92/1.12 apply (zenon_L181_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Ha. zenon_intro zenon_H124. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H118. zenon_intro zenon_H125. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H119. zenon_intro zenon_H11a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.12 apply (zenon_L178_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.12 apply (zenon_L73_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.12 apply (zenon_L177_); trivial. % 0.92/1.12 apply (zenon_L64_); trivial. % 0.92/1.12 apply (zenon_L94_); trivial. % 0.92/1.12 apply (zenon_L98_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_Ha. zenon_intro zenon_H1c0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H17b. zenon_intro zenon_H1c1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L203_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.12 apply (zenon_L175_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.12 apply (zenon_L41_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L140_); trivial. % 0.92/1.12 apply (zenon_L204_); trivial. % 0.92/1.12 apply (zenon_L174_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H227. zenon_intro zenon_H287. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L211_); trivial. % 0.92/1.12 apply (zenon_L137_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L214_); trivial. % 0.92/1.12 apply (zenon_L94_); trivial. % 0.92/1.12 apply (zenon_L98_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_Ha. zenon_intro zenon_H1c0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H17b. zenon_intro zenon_H1c1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L215_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L214_); trivial. % 0.92/1.12 apply (zenon_L114_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.12 apply (zenon_L175_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.12 apply (zenon_L44_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H107 | zenon_intro zenon_H123 ]. % 0.92/1.12 apply (zenon_L217_); trivial. % 0.92/1.12 apply (zenon_L218_); trivial. % 0.92/1.12 apply (zenon_L125_); trivial. % 0.92/1.12 apply (zenon_L133_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H231. zenon_intro zenon_H2b4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H232. zenon_intro zenon_H233. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H28a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H85 | zenon_intro zenon_H28f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L4_); trivial. % 0.92/1.12 apply (zenon_L219_); trivial. % 0.92/1.12 apply (zenon_L222_); trivial. % 0.92/1.12 apply (zenon_L223_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L4_); trivial. % 0.92/1.12 apply (zenon_L236_); trivial. % 0.92/1.12 apply (zenon_L243_); trivial. % 0.92/1.12 apply (zenon_L244_); trivial. % 0.92/1.12 apply (zenon_L223_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Ha. zenon_intro zenon_H290. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H1c5. zenon_intro zenon_H291. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1c4. zenon_intro zenon_H25e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.92/1.12 apply (zenon_L255_); trivial. % 0.92/1.12 apply (zenon_L223_); trivial. % 0.92/1.12 apply (zenon_L325_); trivial. % 0.92/1.12 apply (zenon_L372_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_Ha. zenon_intro zenon_H389. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H294. zenon_intro zenon_H38a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H38a). zenon_intro zenon_H295. zenon_intro zenon_H293. % 0.92/1.12 apply (zenon_L428_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_Ha. zenon_intro zenon_H38b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H2b7. zenon_intro zenon_H38c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H2b5. zenon_intro zenon_H2b6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H105 | zenon_intro zenon_H388 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b2 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Haa | zenon_intro zenon_H167 ]. % 0.92/1.12 apply (zenon_L44_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_Ha. zenon_intro zenon_H169. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hc4. zenon_intro zenon_H16a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hc6. zenon_intro zenon_Hce. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.92/1.12 apply (zenon_L429_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.12 apply (zenon_L96_); trivial. % 0.92/1.12 exact (zenon_H1b zenon_H1c). % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H231. zenon_intro zenon_H2b4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H232. zenon_intro zenon_H233. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H28a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H85 | zenon_intro zenon_H28f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L433_); trivial. % 0.92/1.12 apply (zenon_L219_); trivial. % 0.92/1.12 apply (zenon_L222_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L433_); trivial. % 0.92/1.12 apply (zenon_L236_); trivial. % 0.92/1.12 apply (zenon_L243_); trivial. % 0.92/1.12 apply (zenon_L244_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_Ha. zenon_intro zenon_H1c0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H17b. zenon_intro zenon_H1c1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L433_); trivial. % 0.92/1.12 apply (zenon_L287_); trivial. % 0.92/1.12 apply (zenon_L222_); trivial. % 0.92/1.12 apply (zenon_L434_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Ha. zenon_intro zenon_H290. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H1c5. zenon_intro zenon_H291. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1c4. zenon_intro zenon_H25e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L433_); trivial. % 0.92/1.12 apply (zenon_L254_); trivial. % 0.92/1.12 apply (zenon_L222_); trivial. % 0.92/1.12 apply (zenon_L325_); trivial. % 0.92/1.12 apply (zenon_L372_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_Ha. zenon_intro zenon_H389. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H294. zenon_intro zenon_H38a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H38a). zenon_intro zenon_H295. zenon_intro zenon_H293. % 0.92/1.12 apply (zenon_L428_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_Ha. zenon_intro zenon_H38d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_H2c7. zenon_intro zenon_H38e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H2cf. zenon_intro zenon_H2c6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H105 | zenon_intro zenon_H388 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b2 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H85 | zenon_intro zenon_H28f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.12 apply (zenon_L453_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H227. zenon_intro zenon_H287. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L460_); trivial. % 0.92/1.12 apply (zenon_L452_); trivial. % 0.92/1.12 apply (zenon_L472_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L480_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L461_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.12 apply (zenon_L225_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.12 apply (zenon_L485_); trivial. % 0.92/1.12 apply (zenon_L172_); trivial. % 0.92/1.12 apply (zenon_L477_); trivial. % 0.92/1.12 apply (zenon_L478_); trivial. % 0.92/1.12 apply (zenon_L479_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Ha. zenon_intro zenon_H290. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H1c5. zenon_intro zenon_H291. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1c4. zenon_intro zenon_H25e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.12 apply (zenon_L453_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H227. zenon_intro zenon_H287. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L491_); trivial. % 0.92/1.12 apply (zenon_L452_); trivial. % 0.92/1.12 apply (zenon_L472_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L507_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_L509_); trivial. % 0.92/1.12 apply (zenon_L479_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H231. zenon_intro zenon_H2b4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H232. zenon_intro zenon_H233. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H28a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L521_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_L514_); trivial. % 0.92/1.12 apply (zenon_L522_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H1f5. zenon_intro zenon_H28e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H1f4. zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L532_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L527_); trivial. % 0.92/1.12 apply (zenon_L534_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_L548_); trivial. % 0.92/1.12 apply (zenon_L549_); trivial. % 0.92/1.12 apply (zenon_L244_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_Ha. zenon_intro zenon_H389. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H294. zenon_intro zenon_H38a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H38a). zenon_intro zenon_H295. zenon_intro zenon_H293. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b2 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H28a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H85 | zenon_intro zenon_H28f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.12 apply (zenon_L555_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_L556_); trivial. % 0.92/1.12 apply (zenon_L32_); trivial. % 0.92/1.12 apply (zenon_L447_); trivial. % 0.92/1.12 apply (zenon_L559_); trivial. % 0.92/1.12 apply (zenon_L566_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Ha. zenon_intro zenon_H290. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H1c5. zenon_intro zenon_H291. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1c4. zenon_intro zenon_H25e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.12 apply (zenon_L555_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H152 ]. % 0.92/1.12 apply (zenon_L450_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_Ha. zenon_intro zenon_H153. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H10c. zenon_intro zenon_H154. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H10b | zenon_intro zenon_H116 ]. % 0.92/1.12 apply (zenon_L70_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H3f | zenon_intro zenon_H18 ]. % 0.92/1.12 apply (zenon_L568_); trivial. % 0.92/1.12 exact (zenon_H17 zenon_H18). % 0.92/1.12 apply (zenon_L447_); trivial. % 0.92/1.12 apply (zenon_L559_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.12 apply (zenon_L473_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.12 apply (zenon_L562_); trivial. % 0.92/1.12 apply (zenon_L58_); trivial. % 0.92/1.12 apply (zenon_L554_); trivial. % 0.92/1.12 apply (zenon_L446_); trivial. % 0.92/1.12 apply (zenon_L570_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H1f5. zenon_intro zenon_H28e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H1f4. zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H85 | zenon_intro zenon_H28f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.12 apply (zenon_L175_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.12 apply (zenon_L576_); trivial. % 0.92/1.12 apply (zenon_L579_); trivial. % 0.92/1.12 apply (zenon_L559_); trivial. % 0.92/1.12 apply (zenon_L566_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Ha. zenon_intro zenon_H290. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H1c5. zenon_intro zenon_H291. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1c4. zenon_intro zenon_H25e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L582_); trivial. % 0.92/1.12 apply (zenon_L559_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L582_); trivial. % 0.92/1.12 apply (zenon_L570_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H231. zenon_intro zenon_H2b4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H232. zenon_intro zenon_H233. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H28a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_L514_); trivial. % 0.92/1.12 apply (zenon_L584_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H1f5. zenon_intro zenon_H28e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H1f4. zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L586_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.12 apply (zenon_L9_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ]. % 0.92/1.12 apply (zenon_L587_); trivial. % 0.92/1.12 apply (zenon_L24_); trivial. % 0.92/1.12 apply (zenon_L252_); trivial. % 0.92/1.12 apply (zenon_L584_); trivial. % 0.92/1.12 apply (zenon_L589_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_Ha. zenon_intro zenon_H38f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_H2f4. zenon_intro zenon_H390. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_H2f2. zenon_intro zenon_H2f3. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_H1b | zenon_intro zenon_H386 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b2 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H28a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_L601_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H3 | zenon_intro zenon_H1bf ]. % 0.92/1.12 apply (zenon_L606_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_Ha. zenon_intro zenon_H1c0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H17b. zenon_intro zenon_H1c1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1c1). zenon_intro zenon_H17c. zenon_intro zenon_H17a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L609_); trivial. % 0.92/1.12 apply (zenon_L615_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H1f5. zenon_intro zenon_H28e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H1f4. zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.12 apply (zenon_L175_); trivial. % 0.92/1.12 apply (zenon_L617_); trivial. % 0.92/1.12 apply (zenon_L629_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L609_); trivial. % 0.92/1.12 apply (zenon_L635_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H231. zenon_intro zenon_H2b4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H232. zenon_intro zenon_H233. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H28a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H85 | zenon_intro zenon_H28f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L648_); trivial. % 0.92/1.12 apply (zenon_L600_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L654_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.12 apply (zenon_L225_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_L228_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L656_); trivial. % 0.92/1.12 apply (zenon_L232_); trivial. % 0.92/1.12 apply (zenon_L605_); trivial. % 0.92/1.12 apply (zenon_L667_); trivial. % 0.92/1.12 apply (zenon_L244_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Ha. zenon_intro zenon_H290. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H1c5. zenon_intro zenon_H291. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1c4. zenon_intro zenon_H25e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L643_); trivial. % 0.92/1.12 apply (zenon_L673_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H23e | zenon_intro zenon_H255 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ]. % 0.92/1.12 apply (zenon_L225_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_Ha. zenon_intro zenon_H9a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H90. zenon_intro zenon_H9b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8e. zenon_intro zenon_H8f. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L652_); trivial. % 0.92/1.12 apply (zenon_L276_); trivial. % 0.92/1.12 apply (zenon_L605_); trivial. % 0.92/1.12 apply (zenon_L676_); trivial. % 0.92/1.12 apply (zenon_L667_); trivial. % 0.92/1.12 apply (zenon_L244_); trivial. % 0.92/1.12 apply (zenon_L680_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H1f5. zenon_intro zenon_H28e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H1f4. zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H215 | zenon_intro zenon_H285 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.12 apply (zenon_L175_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.12 apply (zenon_L592_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H230 | zenon_intro zenon_H2a8 ]. % 0.92/1.12 apply (zenon_L220_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H292 | zenon_intro zenon_H3f ]. % 0.92/1.12 apply (zenon_L683_); trivial. % 0.92/1.12 apply (zenon_L385_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Hb3. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_Hb4. zenon_intro zenon_Hb2. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.12 apply (zenon_L592_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.12 apply (zenon_L681_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.12 apply (zenon_L685_); trivial. % 0.92/1.12 apply (zenon_L64_); trivial. % 0.92/1.12 apply (zenon_L647_); trivial. % 0.92/1.12 apply (zenon_L690_); trivial. % 0.92/1.12 apply (zenon_L695_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_Ha. zenon_intro zenon_H286. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H227. zenon_intro zenon_H287. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H18c | zenon_intro zenon_H1f0 ]. % 0.92/1.12 apply (zenon_L175_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_Ha. zenon_intro zenon_H1f1. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H192. zenon_intro zenon_H1f2. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H190. zenon_intro zenon_H191. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hed ]. % 0.92/1.12 apply (zenon_L592_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hef. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_He4. zenon_intro zenon_Hf0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He5. zenon_intro zenon_He6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H117 | zenon_intro zenon_H122 ]. % 0.92/1.12 apply (zenon_L681_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H7b | zenon_intro zenon_H2d ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1ba | zenon_intro zenon_H16b ]. % 0.92/1.12 apply (zenon_L696_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H164 | zenon_intro zenon_H1c ]. % 0.92/1.12 apply (zenon_L176_); trivial. % 0.92/1.12 exact (zenon_H1b zenon_H1c). % 0.92/1.12 apply (zenon_L64_); trivial. % 0.92/1.12 apply (zenon_L647_); trivial. % 0.92/1.12 apply (zenon_L690_); trivial. % 0.92/1.12 apply (zenon_L695_); trivial. % 0.92/1.12 apply (zenon_L698_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_Ha. zenon_intro zenon_H38d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_H2c7. zenon_intro zenon_H38e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H2cf. zenon_intro zenon_H2c6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hac | zenon_intro zenon_H2b2 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_L703_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_Ha. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H19f. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.12 apply (zenon_L473_); trivial. % 0.92/1.12 apply (zenon_L707_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.12 apply (zenon_L473_); trivial. % 0.92/1.12 apply (zenon_L708_); trivial. % 0.92/1.12 apply (zenon_L479_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H231. zenon_intro zenon_H2b4. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H232. zenon_intro zenon_H233. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H28a ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H85 | zenon_intro zenon_H28f ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L700_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.12 apply (zenon_L701_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_L468_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L699_); trivial. % 0.92/1.12 apply (zenon_L709_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L700_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.12 apply (zenon_L701_); trivial. % 0.92/1.12 apply (zenon_L710_); trivial. % 0.92/1.12 apply (zenon_L713_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Ha. zenon_intro zenon_H290. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H1c5. zenon_intro zenon_H291. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1c4. zenon_intro zenon_H25e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L700_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2e5 ]. % 0.92/1.12 apply (zenon_L701_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Ha. zenon_intro zenon_H2e6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2dd. zenon_intro zenon_H2e7. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2de. zenon_intro zenon_H2dc. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H53 | zenon_intro zenon_H87 ]. % 0.92/1.12 apply (zenon_L593_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Ha. zenon_intro zenon_H89. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7e. zenon_intro zenon_H8a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H7d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H15 | zenon_intro zenon_H78 ]. % 0.92/1.12 apply (zenon_L9_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H79. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H26. zenon_intro zenon_H7a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H24. zenon_intro zenon_H25. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1e9 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1d | zenon_intro zenon_H71 ]. % 0.92/1.12 apply (zenon_L699_); trivial. % 0.92/1.12 apply (zenon_L714_); trivial. % 0.92/1.12 apply (zenon_L252_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H14a | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L700_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_Ha. zenon_intro zenon_H158. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_He. zenon_intro zenon_H159. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H177 ]. % 0.92/1.12 apply (zenon_L715_); trivial. % 0.92/1.12 apply (zenon_L718_); trivial. % 0.92/1.12 apply (zenon_L719_); trivial. % 0.92/1.12 apply (zenon_L713_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H1f5. zenon_intro zenon_H28e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H1f4. zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H17 | zenon_intro zenon_H281 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1 | zenon_intro zenon_H170 ]. % 0.92/1.12 apply (zenon_L720_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H175. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H9f. zenon_intro zenon_H176. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_Ha0. zenon_intro zenon_H9e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H5 | zenon_intro zenon_H155 ]. % 0.92/1.12 apply (zenon_L700_); trivial. % 0.92/1.12 apply (zenon_L534_); trivial. % 0.92/1.12 apply (zenon_L713_); trivial. % 0.92/1.12 Qed. % 0.92/1.12 % SZS output end Proof % 0.92/1.12 (* END-PROOF *) % 0.92/1.12 nodes searched: 44790 % 0.92/1.12 max branch formulas: 479 % 0.92/1.12 proof nodes created: 6694 % 0.92/1.12 formulas created: 41417 % 0.92/1.12 %------------------------------------------------------------------------------