%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN452+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 21 13:52:44 EDT 2022 % Result : Theorem 0.81s 1.02s % Output : Proof 0.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SYN452+1 : TPTP v8.1.0. Released v2.1.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n008.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Tue Jul 12 07:38:23 EDT 2022 % 0.13/0.35 % CPUTime : % 0.81/1.02 (* PROOF-FOUND *) % 0.81/1.02 % SZS status Theorem % 0.81/1.02 (* BEGIN-PROOF *) % 0.81/1.02 % SZS output start Proof % 0.81/1.02 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a815))/\((c1_1 (a815))/\(~(c3_1 (a815)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a816))/\((c3_1 (a816))/\(~(c2_1 (a816)))))))/\(((~(hskp2))\/((ndr1_0)/\((c2_1 (a817))/\((~(c0_1 (a817)))/\(~(c3_1 (a817)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a820))/\((~(c1_1 (a820)))/\(~(c3_1 (a820)))))))/\(((~(hskp4))\/((ndr1_0)/\((c2_1 (a821))/\((~(c0_1 (a821)))/\(~(c1_1 (a821)))))))/\(((~(hskp5))\/((ndr1_0)/\((c1_1 (a825))/\((c3_1 (a825))/\(~(c0_1 (a825)))))))/\(((~(hskp6))\/((ndr1_0)/\((c1_1 (a827))/\((c2_1 (a827))/\(~(c0_1 (a827)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828)))))))/\(((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830)))))))/\(((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834)))))))/\(((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))))/\(((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844)))))))/\(((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848)))))))/\(((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))))/\(((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))))/\(((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))))/\(((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1)))/\(((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))))))\/(hskp2)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp3)\/(hskp4)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp3)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(hskp4)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp5)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp27)\/(hskp6)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp7)\/(hskp4)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp12)\/(hskp13)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/(hskp2)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp6)))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27))/\(((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))))/\(((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16)))/\(((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp3)))/\(((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17)))/\(((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp3)\/(hskp18)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13)))/\(((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp15)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp1)\/(hskp2)))/\(((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8)))/\(((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3)))/\(((hskp28)\/((hskp24)\/(hskp20)))/\(((hskp14)\/((hskp12)\/(hskp11)))/\(((hskp14)\/(hskp24))/\(((hskp27)\/((hskp18)\/(hskp9)))/\(((hskp27)\/((hskp17)\/(hskp15)))/\(((hskp23)\/((hskp25)\/(hskp5)))/\(((hskp7)\/((hskp5)\/(hskp13)))/\((hskp13)\/((hskp16)\/(hskp19))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.81/1.02 Proof. % 0.81/1.02 assert (zenon_L1_ : (~(hskp7)) -> (hskp7) -> False). % 0.81/1.02 do 0 intro. intros zenon_H1 zenon_H2. % 0.81/1.02 exact (zenon_H1 zenon_H2). % 0.81/1.02 (* end of lemma zenon_L1_ *) % 0.81/1.02 assert (zenon_L2_ : (~(hskp5)) -> (hskp5) -> False). % 0.81/1.02 do 0 intro. intros zenon_H3 zenon_H4. % 0.81/1.02 exact (zenon_H3 zenon_H4). % 0.81/1.02 (* end of lemma zenon_L2_ *) % 0.81/1.02 assert (zenon_L3_ : (~(hskp13)) -> (hskp13) -> False). % 0.81/1.02 do 0 intro. intros zenon_H5 zenon_H6. % 0.81/1.02 exact (zenon_H5 zenon_H6). % 0.81/1.02 (* end of lemma zenon_L3_ *) % 0.81/1.02 assert (zenon_L4_ : ((hskp7)\/((hskp5)\/(hskp13))) -> (~(hskp7)) -> (~(hskp5)) -> (~(hskp13)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.81/1.02 exact (zenon_H1 zenon_H2). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.81/1.02 exact (zenon_H3 zenon_H4). % 0.81/1.02 exact (zenon_H5 zenon_H6). % 0.81/1.02 (* end of lemma zenon_L4_ *) % 0.81/1.02 assert (zenon_L5_ : (~(hskp14)) -> (hskp14) -> False). % 0.81/1.02 do 0 intro. intros zenon_H9 zenon_Ha. % 0.81/1.02 exact (zenon_H9 zenon_Ha). % 0.81/1.02 (* end of lemma zenon_L5_ *) % 0.81/1.02 assert (zenon_L6_ : (~(hskp12)) -> (hskp12) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hb zenon_Hc. % 0.81/1.02 exact (zenon_Hb zenon_Hc). % 0.81/1.02 (* end of lemma zenon_L6_ *) % 0.81/1.02 assert (zenon_L7_ : (~(hskp11)) -> (hskp11) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hd zenon_He. % 0.81/1.02 exact (zenon_Hd zenon_He). % 0.81/1.02 (* end of lemma zenon_L7_ *) % 0.81/1.02 assert (zenon_L8_ : ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp14)) -> (~(hskp12)) -> (~(hskp11)) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 0.81/1.02 exact (zenon_H9 zenon_Ha). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 0.81/1.02 exact (zenon_Hb zenon_Hc). % 0.81/1.02 exact (zenon_Hd zenon_He). % 0.81/1.02 (* end of lemma zenon_L8_ *) % 0.81/1.02 assert (zenon_L9_ : (~(hskp27)) -> (hskp27) -> False). % 0.81/1.02 do 0 intro. intros zenon_H11 zenon_H12. % 0.81/1.02 exact (zenon_H11 zenon_H12). % 0.81/1.02 (* end of lemma zenon_L9_ *) % 0.81/1.02 assert (zenon_L10_ : (~(hskp18)) -> (hskp18) -> False). % 0.81/1.02 do 0 intro. intros zenon_H13 zenon_H14. % 0.81/1.02 exact (zenon_H13 zenon_H14). % 0.81/1.02 (* end of lemma zenon_L10_ *) % 0.81/1.02 assert (zenon_L11_ : (~(hskp9)) -> (hskp9) -> False). % 0.81/1.02 do 0 intro. intros zenon_H15 zenon_H16. % 0.81/1.02 exact (zenon_H15 zenon_H16). % 0.81/1.02 (* end of lemma zenon_L11_ *) % 0.81/1.02 assert (zenon_L12_ : ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp27)) -> (~(hskp18)) -> (~(hskp9)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H17 zenon_H11 zenon_H13 zenon_H15. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H12 | zenon_intro zenon_H18 ]. % 0.81/1.02 exact (zenon_H11 zenon_H12). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H14 | zenon_intro zenon_H16 ]. % 0.81/1.02 exact (zenon_H13 zenon_H14). % 0.81/1.02 exact (zenon_H15 zenon_H16). % 0.81/1.02 (* end of lemma zenon_L12_ *) % 0.81/1.02 assert (zenon_L13_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.81/1.02 do 0 intro. intros zenon_H19 zenon_H1a. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 (* end of lemma zenon_L13_ *) % 0.81/1.02 assert (zenon_L14_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a839))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H1b zenon_H1a zenon_H1c zenon_H1d zenon_H1e. % 0.81/1.02 generalize (zenon_H1b (a839)). zenon_intro zenon_H1f. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H19 | zenon_intro zenon_H20 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 0.81/1.02 exact (zenon_H1c zenon_H22). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 0.81/1.02 exact (zenon_H1d zenon_H24). % 0.81/1.02 exact (zenon_H23 zenon_H1e). % 0.81/1.02 (* end of lemma zenon_L14_ *) % 0.81/1.02 assert (zenon_L15_ : (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(c2_1 (a839))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a839)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H25 zenon_H1a zenon_H1d zenon_H1b zenon_H1e. % 0.81/1.02 generalize (zenon_H25 (a839)). zenon_intro zenon_H26. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H19 | zenon_intro zenon_H27 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H24 | zenon_intro zenon_H28 ]. % 0.81/1.02 exact (zenon_H1d zenon_H24). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H1c | zenon_intro zenon_H23 ]. % 0.81/1.02 apply (zenon_L14_); trivial. % 0.81/1.02 exact (zenon_H23 zenon_H1e). % 0.81/1.02 (* end of lemma zenon_L15_ *) % 0.81/1.02 assert (zenon_L16_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13)))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H29 zenon_H1a zenon_H1b zenon_H1d zenon_H1e zenon_H2a. % 0.81/1.02 generalize (zenon_H29 (a839)). zenon_intro zenon_H2b. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H19 | zenon_intro zenon_H2c ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H1c | zenon_intro zenon_H2d ]. % 0.81/1.02 apply (zenon_L14_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H2e | zenon_intro zenon_H23 ]. % 0.81/1.02 exact (zenon_H2e zenon_H2a). % 0.81/1.02 exact (zenon_H23 zenon_H1e). % 0.81/1.02 (* end of lemma zenon_L16_ *) % 0.81/1.02 assert (zenon_L17_ : (~(hskp29)) -> (hskp29) -> False). % 0.81/1.02 do 0 intro. intros zenon_H2f zenon_H30. % 0.81/1.02 exact (zenon_H2f zenon_H30). % 0.81/1.02 (* end of lemma zenon_L17_ *) % 0.81/1.02 assert (zenon_L18_ : ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H31 zenon_H2a zenon_H1e zenon_H1d zenon_H1b zenon_H1a zenon_H2f. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 0.81/1.02 apply (zenon_L15_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H29 | zenon_intro zenon_H30 ]. % 0.81/1.02 apply (zenon_L16_); trivial. % 0.81/1.02 exact (zenon_H2f zenon_H30). % 0.81/1.02 (* end of lemma zenon_L18_ *) % 0.81/1.02 assert (zenon_L19_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26)))))) -> (ndr1_0) -> (~(c1_1 (a826))) -> (c0_1 (a826)) -> (c3_1 (a826)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H33 zenon_H1a zenon_H34 zenon_H35 zenon_H36. % 0.81/1.02 generalize (zenon_H33 (a826)). zenon_intro zenon_H37. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H19 | zenon_intro zenon_H38 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 0.81/1.02 exact (zenon_H34 zenon_H3a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 0.81/1.02 exact (zenon_H3c zenon_H35). % 0.81/1.02 exact (zenon_H3b zenon_H36). % 0.81/1.02 (* end of lemma zenon_L19_ *) % 0.81/1.02 assert (zenon_L20_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (c0_1 (a826)) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26)))))) -> (c3_1 (a826)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H29 zenon_H1a zenon_H35 zenon_H33 zenon_H36. % 0.81/1.02 generalize (zenon_H29 (a826)). zenon_intro zenon_H3d. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H19 | zenon_intro zenon_H3e ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H3c | zenon_intro zenon_H3f ]. % 0.81/1.02 exact (zenon_H3c zenon_H35). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H34 | zenon_intro zenon_H3b ]. % 0.81/1.02 apply (zenon_L19_); trivial. % 0.81/1.02 exact (zenon_H3b zenon_H36). % 0.81/1.02 (* end of lemma zenon_L20_ *) % 0.81/1.02 assert (zenon_L21_ : (forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26)))))) -> (c0_1 (a826)) -> (c3_1 (a826)) -> (c2_1 (a826)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H40 zenon_H1a zenon_H33 zenon_H35 zenon_H36 zenon_H41. % 0.81/1.02 generalize (zenon_H40 (a826)). zenon_intro zenon_H42. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H19 | zenon_intro zenon_H43 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H34 | zenon_intro zenon_H44 ]. % 0.81/1.02 apply (zenon_L19_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H45 | zenon_intro zenon_H3b ]. % 0.81/1.02 exact (zenon_H45 zenon_H41). % 0.81/1.02 exact (zenon_H3b zenon_H36). % 0.81/1.02 (* end of lemma zenon_L21_ *) % 0.81/1.02 assert (zenon_L22_ : (~(hskp8)) -> (hskp8) -> False). % 0.81/1.02 do 0 intro. intros zenon_H46 zenon_H47. % 0.81/1.02 exact (zenon_H46 zenon_H47). % 0.81/1.02 (* end of lemma zenon_L22_ *) % 0.81/1.02 assert (zenon_L23_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c2_1 (a826)) -> (c3_1 (a826)) -> (c0_1 (a826)) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H48 zenon_H41 zenon_H36 zenon_H35 zenon_H33 zenon_H1a zenon_H46. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H29 | zenon_intro zenon_H49 ]. % 0.81/1.02 apply (zenon_L20_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.81/1.02 apply (zenon_L21_); trivial. % 0.81/1.02 exact (zenon_H46 zenon_H47). % 0.81/1.02 (* end of lemma zenon_L23_ *) % 0.81/1.02 assert (zenon_L24_ : (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H4a zenon_H1a zenon_H1d zenon_H2a zenon_H1e. % 0.81/1.02 generalize (zenon_H4a (a839)). zenon_intro zenon_H4b. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H4b); [ zenon_intro zenon_H19 | zenon_intro zenon_H4c ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H24 | zenon_intro zenon_H2d ]. % 0.81/1.02 exact (zenon_H1d zenon_H24). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H2e | zenon_intro zenon_H23 ]. % 0.81/1.02 exact (zenon_H2e zenon_H2a). % 0.81/1.02 exact (zenon_H23 zenon_H1e). % 0.81/1.02 (* end of lemma zenon_L24_ *) % 0.81/1.02 assert (zenon_L25_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp29)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(hskp8)) -> (c0_1 (a826)) -> (c3_1 (a826)) -> (c2_1 (a826)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (ndr1_0) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H4d zenon_H2f zenon_H31 zenon_H46 zenon_H35 zenon_H36 zenon_H41 zenon_H48 zenon_H1a zenon_H1d zenon_H2a zenon_H1e. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.81/1.02 apply (zenon_L18_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.81/1.02 apply (zenon_L23_); trivial. % 0.81/1.02 apply (zenon_L24_); trivial. % 0.81/1.02 (* end of lemma zenon_L25_ *) % 0.81/1.02 assert (zenon_L26_ : (forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (c3_1 (a865)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H40 zenon_H1a zenon_H4f zenon_H50 zenon_H51. % 0.81/1.02 generalize (zenon_H40 (a865)). zenon_intro zenon_H52. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H52); [ zenon_intro zenon_H19 | zenon_intro zenon_H53 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ]. % 0.81/1.02 exact (zenon_H55 zenon_H4f). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ]. % 0.81/1.02 exact (zenon_H57 zenon_H50). % 0.81/1.02 exact (zenon_H56 zenon_H51). % 0.81/1.02 (* end of lemma zenon_L26_ *) % 0.81/1.02 assert (zenon_L27_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a865)) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H48 zenon_H2a zenon_H1e zenon_H1d zenon_H1b zenon_H51 zenon_H50 zenon_H4f zenon_H1a zenon_H46. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H29 | zenon_intro zenon_H49 ]. % 0.81/1.02 apply (zenon_L16_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.81/1.02 apply (zenon_L26_); trivial. % 0.81/1.02 exact (zenon_H46 zenon_H47). % 0.81/1.02 (* end of lemma zenon_L27_ *) % 0.81/1.02 assert (zenon_L28_ : ((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 0.81/1.02 do 0 intro. intros zenon_H58 zenon_H59 zenon_H31 zenon_H2a zenon_H1e zenon_H1d zenon_H48 zenon_H46 zenon_H4d. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.81/1.02 apply (zenon_L25_); trivial. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.81/1.02 apply (zenon_L27_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.81/1.02 apply (zenon_L23_); trivial. % 0.81/1.02 apply (zenon_L24_); trivial. % 0.81/1.02 (* end of lemma zenon_L28_ *) % 0.81/1.02 assert (zenon_L29_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> False). % 0.81/1.02 do 0 intro. intros zenon_H5f zenon_H59 zenon_H31 zenon_H2a zenon_H1e zenon_H1d zenon_H48 zenon_H46 zenon_H4d zenon_H13 zenon_H15 zenon_H17. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.81/1.02 apply (zenon_L12_); trivial. % 0.81/1.02 apply (zenon_L28_); trivial. % 0.81/1.02 (* end of lemma zenon_L29_ *) % 0.81/1.02 assert (zenon_L30_ : (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18)))))) -> (ndr1_0) -> (~(c0_1 (a854))) -> (~(c2_1 (a854))) -> (c1_1 (a854)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H60 zenon_H1a zenon_H61 zenon_H62 zenon_H63. % 0.81/1.02 generalize (zenon_H60 (a854)). zenon_intro zenon_H64. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H64); [ zenon_intro zenon_H19 | zenon_intro zenon_H65 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 0.81/1.02 exact (zenon_H61 zenon_H67). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H69 | zenon_intro zenon_H68 ]. % 0.81/1.02 exact (zenon_H62 zenon_H69). % 0.81/1.02 exact (zenon_H68 zenon_H63). % 0.81/1.02 (* end of lemma zenon_L30_ *) % 0.81/1.02 assert (zenon_L31_ : (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c3_1 (a842)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H25 zenon_H1a zenon_H6a zenon_H6b zenon_H6c. % 0.81/1.02 generalize (zenon_H25 (a842)). zenon_intro zenon_H6d. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H6d); [ zenon_intro zenon_H19 | zenon_intro zenon_H6e ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H70 | zenon_intro zenon_H6f ]. % 0.81/1.02 exact (zenon_H6a zenon_H70). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ]. % 0.81/1.02 exact (zenon_H72 zenon_H6b). % 0.81/1.02 exact (zenon_H71 zenon_H6c). % 0.81/1.02 (* end of lemma zenon_L31_ *) % 0.81/1.02 assert (zenon_L32_ : (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15)))))) -> (ndr1_0) -> (~(c2_1 (a842))) -> (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (c0_1 (a842)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H73 zenon_H1a zenon_H6a zenon_H25 zenon_H6b. % 0.81/1.02 generalize (zenon_H73 (a842)). zenon_intro zenon_H74. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H74); [ zenon_intro zenon_H19 | zenon_intro zenon_H75 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H70 | zenon_intro zenon_H76 ]. % 0.81/1.02 exact (zenon_H6a zenon_H70). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H6c | zenon_intro zenon_H72 ]. % 0.81/1.02 apply (zenon_L31_); trivial. % 0.81/1.02 exact (zenon_H72 zenon_H6b). % 0.81/1.02 (* end of lemma zenon_L32_ *) % 0.81/1.02 assert (zenon_L33_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.81/1.02 do 0 intro. intros zenon_H77 zenon_H78 zenon_H79 zenon_H7a zenon_H17 zenon_H15 zenon_H4d zenon_H46 zenon_H48 zenon_H1d zenon_H1e zenon_H2a zenon_H31 zenon_H59 zenon_H5f. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.81/1.02 apply (zenon_L29_); trivial. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H60 | zenon_intro zenon_H81 ]. % 0.81/1.02 apply (zenon_L30_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H73 | zenon_intro zenon_H47 ]. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.81/1.02 apply (zenon_L30_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.81/1.02 apply (zenon_L32_); trivial. % 0.81/1.02 apply (zenon_L24_); trivial. % 0.81/1.02 exact (zenon_H46 zenon_H47). % 0.81/1.02 (* end of lemma zenon_L33_ *) % 0.81/1.02 assert (zenon_L34_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> False). % 0.81/1.02 do 0 intro. intros zenon_H83 zenon_H78 zenon_H79 zenon_H7a zenon_H17 zenon_H15 zenon_H4d zenon_H46 zenon_H48 zenon_H1d zenon_H1e zenon_H2a zenon_H31 zenon_H59 zenon_H5f zenon_Hb zenon_Hd zenon_Hf. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.02 apply (zenon_L8_); trivial. % 0.81/1.02 apply (zenon_L33_); trivial. % 0.81/1.02 (* end of lemma zenon_L34_ *) % 0.81/1.02 assert (zenon_L35_ : (~(hskp24)) -> (hskp24) -> False). % 0.81/1.02 do 0 intro. intros zenon_H84 zenon_H85. % 0.81/1.02 exact (zenon_H84 zenon_H85). % 0.81/1.02 (* end of lemma zenon_L35_ *) % 0.81/1.02 assert (zenon_L36_ : ((hskp14)\/(hskp24)) -> (~(hskp24)) -> (~(hskp14)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H86 zenon_H84 zenon_H9. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_Ha | zenon_intro zenon_H85 ]. % 0.81/1.02 exact (zenon_H9 zenon_Ha). % 0.81/1.02 exact (zenon_H84 zenon_H85). % 0.81/1.02 (* end of lemma zenon_L36_ *) % 0.81/1.02 assert (zenon_L37_ : (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30)))))) -> (ndr1_0) -> (~(c0_1 (a878))) -> (~(c3_1 (a878))) -> (c1_1 (a878)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H87 zenon_H1a zenon_H88 zenon_H89 zenon_H8a. % 0.81/1.02 generalize (zenon_H87 (a878)). zenon_intro zenon_H8b. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H8b); [ zenon_intro zenon_H19 | zenon_intro zenon_H8c ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8e | zenon_intro zenon_H8d ]. % 0.81/1.02 exact (zenon_H88 zenon_H8e). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 0.81/1.02 exact (zenon_H89 zenon_H90). % 0.81/1.02 exact (zenon_H8f zenon_H8a). % 0.81/1.02 (* end of lemma zenon_L37_ *) % 0.81/1.02 assert (zenon_L38_ : (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z)))))) -> (ndr1_0) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H91 zenon_H1a zenon_H92 zenon_H93 zenon_H94. % 0.81/1.02 generalize (zenon_H91 (a838)). zenon_intro zenon_H95. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H95); [ zenon_intro zenon_H19 | zenon_intro zenon_H96 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ]. % 0.81/1.02 exact (zenon_H92 zenon_H98). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ]. % 0.81/1.02 exact (zenon_H9a zenon_H93). % 0.81/1.02 exact (zenon_H99 zenon_H94). % 0.81/1.02 (* end of lemma zenon_L38_ *) % 0.81/1.02 assert (zenon_L39_ : (~(hskp6)) -> (hskp6) -> False). % 0.81/1.02 do 0 intro. intros zenon_H9b zenon_H9c. % 0.81/1.02 exact (zenon_H9b zenon_H9c). % 0.81/1.02 (* end of lemma zenon_L39_ *) % 0.81/1.02 assert (zenon_L40_ : ((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (~(hskp6)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H9d zenon_H9e zenon_H94 zenon_H93 zenon_H92 zenon_H9b. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H8a. zenon_intro zenon_Ha0. % 0.81/1.02 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H88. zenon_intro zenon_H89. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H87 | zenon_intro zenon_Ha1 ]. % 0.81/1.02 apply (zenon_L37_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H91 | zenon_intro zenon_H9c ]. % 0.81/1.02 apply (zenon_L38_); trivial. % 0.81/1.02 exact (zenon_H9b zenon_H9c). % 0.81/1.02 (* end of lemma zenon_L40_ *) % 0.81/1.02 assert (zenon_L41_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (~(hskp14)) -> ((hskp14)\/(hskp24)) -> False). % 0.81/1.02 do 0 intro. intros zenon_Ha2 zenon_H9e zenon_H9b zenon_H94 zenon_H93 zenon_H92 zenon_H9 zenon_H86. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H84 | zenon_intro zenon_H9d ]. % 0.81/1.02 apply (zenon_L36_); trivial. % 0.81/1.02 apply (zenon_L40_); trivial. % 0.81/1.02 (* end of lemma zenon_L41_ *) % 0.81/1.02 assert (zenon_L42_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((hskp14)\/(hskp24)) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.81/1.02 do 0 intro. intros zenon_Ha3 zenon_H83 zenon_H78 zenon_H79 zenon_H7a zenon_H17 zenon_H15 zenon_H4d zenon_H46 zenon_H48 zenon_H31 zenon_H59 zenon_H5f zenon_H86 zenon_H92 zenon_H93 zenon_H94 zenon_H9b zenon_H9e zenon_Ha2 zenon_H1 zenon_H3 zenon_H7. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.81/1.02 apply (zenon_L4_); trivial. % 0.81/1.02 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.81/1.02 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.81/1.02 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.02 apply (zenon_L41_); trivial. % 0.81/1.02 apply (zenon_L33_); trivial. % 0.81/1.02 (* end of lemma zenon_L42_ *) % 0.81/1.02 assert (zenon_L43_ : (~(hskp26)) -> (hskp26) -> False). % 0.81/1.02 do 0 intro. intros zenon_Ha7 zenon_Ha8. % 0.81/1.02 exact (zenon_Ha7 zenon_Ha8). % 0.81/1.02 (* end of lemma zenon_L43_ *) % 0.81/1.02 assert (zenon_L44_ : (~(hskp28)) -> (hskp28) -> False). % 0.81/1.02 do 0 intro. intros zenon_Ha9 zenon_Haa. % 0.81/1.02 exact (zenon_Ha9 zenon_Haa). % 0.81/1.02 (* end of lemma zenon_L44_ *) % 0.81/1.02 assert (zenon_L45_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (~(hskp26)) -> (~(hskp28)) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hab zenon_H1e zenon_H1d zenon_H1a zenon_H25 zenon_Ha7 zenon_Ha9. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H1b | zenon_intro zenon_Hac ]. % 0.81/1.02 apply (zenon_L15_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Haa ]. % 0.81/1.02 exact (zenon_Ha7 zenon_Ha8). % 0.81/1.02 exact (zenon_Ha9 zenon_Haa). % 0.81/1.02 (* end of lemma zenon_L45_ *) % 0.81/1.02 assert (zenon_L46_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a854)) -> (~(c2_1 (a854))) -> (~(c0_1 (a854))) -> (~(hskp28)) -> (~(hskp26)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H7a zenon_H63 zenon_H62 zenon_H61 zenon_Ha9 zenon_Ha7 zenon_Hab zenon_H1a zenon_H1d zenon_H2a zenon_H1e. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.81/1.02 apply (zenon_L30_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.81/1.02 apply (zenon_L45_); trivial. % 0.81/1.02 apply (zenon_L24_); trivial. % 0.81/1.02 (* end of lemma zenon_L46_ *) % 0.81/1.02 assert (zenon_L47_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (c0_1 (a833)) -> (c1_1 (a833)) -> (c3_1 (a833)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H29 zenon_H1a zenon_Had zenon_Hae zenon_Haf. % 0.81/1.02 generalize (zenon_H29 (a833)). zenon_intro zenon_Hb0. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_Hb0); [ zenon_intro zenon_H19 | zenon_intro zenon_Hb1 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb2 ]. % 0.81/1.02 exact (zenon_Hb3 zenon_Had). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb4 ]. % 0.81/1.02 exact (zenon_Hb5 zenon_Hae). % 0.81/1.02 exact (zenon_Hb4 zenon_Haf). % 0.81/1.02 (* end of lemma zenon_L47_ *) % 0.81/1.02 assert (zenon_L48_ : (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(c2_1 (a833))) -> (c0_1 (a833)) -> (c3_1 (a833)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H25 zenon_H1a zenon_Hb6 zenon_Had zenon_Haf. % 0.81/1.02 generalize (zenon_H25 (a833)). zenon_intro zenon_Hb7. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_Hb7); [ zenon_intro zenon_H19 | zenon_intro zenon_Hb8 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hba | zenon_intro zenon_Hb9 ]. % 0.81/1.02 exact (zenon_Hb6 zenon_Hba). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb4 ]. % 0.81/1.02 exact (zenon_Hb3 zenon_Had). % 0.81/1.02 exact (zenon_Hb4 zenon_Haf). % 0.81/1.02 (* end of lemma zenon_L48_ *) % 0.81/1.02 assert (zenon_L49_ : (forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (c1_1 (a833)) -> (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (c0_1 (a833)) -> (c3_1 (a833)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H40 zenon_H1a zenon_Hae zenon_H25 zenon_Had zenon_Haf. % 0.81/1.02 generalize (zenon_H40 (a833)). zenon_intro zenon_Hbb. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_Hbb); [ zenon_intro zenon_H19 | zenon_intro zenon_Hbc ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hbd ]. % 0.81/1.02 exact (zenon_Hb5 zenon_Hae). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb4 ]. % 0.81/1.02 apply (zenon_L48_); trivial. % 0.81/1.02 exact (zenon_Hb4 zenon_Haf). % 0.81/1.02 (* end of lemma zenon_L49_ *) % 0.81/1.02 assert (zenon_L50_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c3_1 (a833)) -> (c0_1 (a833)) -> (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (c1_1 (a833)) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H48 zenon_Haf zenon_Had zenon_H25 zenon_Hae zenon_H1a zenon_H46. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H29 | zenon_intro zenon_H49 ]. % 0.81/1.02 apply (zenon_L47_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.81/1.02 apply (zenon_L49_); trivial. % 0.81/1.02 exact (zenon_H46 zenon_H47). % 0.81/1.02 (* end of lemma zenon_L50_ *) % 0.81/1.02 assert (zenon_L51_ : ((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a854)) -> (~(c2_1 (a854))) -> (~(c0_1 (a854))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hbe zenon_H7a zenon_H63 zenon_H62 zenon_H61 zenon_H46 zenon_H48 zenon_H1d zenon_H2a zenon_H1e. % 0.81/1.02 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H1a. zenon_intro zenon_Hbf. % 0.81/1.02 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Had. zenon_intro zenon_Hc0. % 0.81/1.02 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.81/1.02 apply (zenon_L30_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.81/1.02 apply (zenon_L50_); trivial. % 0.81/1.02 apply (zenon_L24_); trivial. % 0.81/1.02 (* end of lemma zenon_L51_ *) % 0.81/1.02 assert (zenon_L52_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a854))) -> (~(c2_1 (a854))) -> (c1_1 (a854)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (~(hskp26)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hc1 zenon_H46 zenon_H48 zenon_H1a zenon_H61 zenon_H62 zenon_H63 zenon_Hab zenon_Ha7 zenon_H1e zenon_H1d zenon_H2a zenon_H7a. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hbe ]. % 0.81/1.02 apply (zenon_L46_); trivial. % 0.81/1.02 apply (zenon_L51_); trivial. % 0.81/1.02 (* end of lemma zenon_L52_ *) % 0.81/1.02 assert (zenon_L53_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> (~(c2_1 (a854))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (~(c0_1 (a854))) -> (c1_1 (a854)) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hc2 zenon_H1a zenon_H62 zenon_Hc3 zenon_H61 zenon_H63. % 0.81/1.02 generalize (zenon_Hc2 (a854)). zenon_intro zenon_Hc4. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_Hc4); [ zenon_intro zenon_H19 | zenon_intro zenon_Hc5 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H69 | zenon_intro zenon_Hc6 ]. % 0.81/1.02 exact (zenon_H62 zenon_H69). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H68 ]. % 0.81/1.02 generalize (zenon_Hc3 (a854)). zenon_intro zenon_Hc8. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_Hc8); [ zenon_intro zenon_H19 | zenon_intro zenon_Hc9 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H67 | zenon_intro zenon_Hca ]. % 0.81/1.02 exact (zenon_H61 zenon_H67). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H68 | zenon_intro zenon_Hcb ]. % 0.81/1.02 exact (zenon_H68 zenon_H63). % 0.81/1.02 exact (zenon_Hcb zenon_Hc7). % 0.81/1.02 exact (zenon_H68 zenon_H63). % 0.81/1.02 (* end of lemma zenon_L53_ *) % 0.81/1.02 assert (zenon_L54_ : (~(hskp1)) -> (hskp1) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hcc zenon_Hcd. % 0.81/1.02 exact (zenon_Hcc zenon_Hcd). % 0.81/1.02 (* end of lemma zenon_L54_ *) % 0.81/1.02 assert (zenon_L55_ : (~(hskp22)) -> (hskp22) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hce zenon_Hcf. % 0.81/1.02 exact (zenon_Hce zenon_Hcf). % 0.81/1.02 (* end of lemma zenon_L55_ *) % 0.81/1.02 assert (zenon_L56_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c1_1 (a854)) -> (~(c0_1 (a854))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (~(c2_1 (a854))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp22)) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hd0 zenon_H63 zenon_H61 zenon_Hc3 zenon_H62 zenon_H1a zenon_Hcc zenon_Hce. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hd1 ]. % 0.81/1.02 apply (zenon_L53_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcf ]. % 0.81/1.02 exact (zenon_Hcc zenon_Hcd). % 0.81/1.02 exact (zenon_Hce zenon_Hcf). % 0.81/1.02 (* end of lemma zenon_L56_ *) % 0.81/1.02 assert (zenon_L57_ : (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (c0_1 (a818)) -> (c1_1 (a818)) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hd2 zenon_H1a zenon_H29 zenon_Hd3 zenon_Hd4. % 0.81/1.02 generalize (zenon_Hd2 (a818)). zenon_intro zenon_Hd5. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_Hd5); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd6 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 0.81/1.02 generalize (zenon_H29 (a818)). zenon_intro zenon_Hd9. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_Hd9); [ zenon_intro zenon_H19 | zenon_intro zenon_Hda ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 0.81/1.02 exact (zenon_Hdc zenon_Hd3). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdd ]. % 0.81/1.02 exact (zenon_Hde zenon_Hd4). % 0.81/1.02 exact (zenon_Hdd zenon_Hd8). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hde ]. % 0.81/1.02 exact (zenon_Hdc zenon_Hd3). % 0.81/1.02 exact (zenon_Hde zenon_Hd4). % 0.81/1.02 (* end of lemma zenon_L57_ *) % 0.81/1.02 assert (zenon_L58_ : (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))) -> (c1_1 (a818)) -> (c2_1 (a818)) -> (c0_1 (a818)) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hd2 zenon_H1a zenon_H40 zenon_Hd4 zenon_Hdf zenon_Hd3. % 0.81/1.02 generalize (zenon_Hd2 (a818)). zenon_intro zenon_Hd5. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_Hd5); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd6 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 0.81/1.02 generalize (zenon_H40 (a818)). zenon_intro zenon_He0. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_He0); [ zenon_intro zenon_H19 | zenon_intro zenon_He1 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hde | zenon_intro zenon_He2 ]. % 0.81/1.02 exact (zenon_Hde zenon_Hd4). % 0.81/1.02 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_He3 | zenon_intro zenon_Hdd ]. % 0.81/1.02 exact (zenon_He3 zenon_Hdf). % 0.81/1.02 exact (zenon_Hdd zenon_Hd8). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hde ]. % 0.81/1.02 exact (zenon_Hdc zenon_Hd3). % 0.81/1.02 exact (zenon_Hde zenon_Hd4). % 0.81/1.02 (* end of lemma zenon_L58_ *) % 0.81/1.02 assert (zenon_L59_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c0_1 (a818)) -> (c2_1 (a818)) -> (c1_1 (a818)) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(hskp8)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H48 zenon_Hd3 zenon_Hdf zenon_Hd4 zenon_H1a zenon_Hd2 zenon_H46. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H29 | zenon_intro zenon_H49 ]. % 0.81/1.02 apply (zenon_L57_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.81/1.02 apply (zenon_L58_); trivial. % 0.81/1.02 exact (zenon_H46 zenon_H47). % 0.81/1.02 (* end of lemma zenon_L59_ *) % 0.81/1.02 assert (zenon_L60_ : ((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(hskp22)) -> (~(hskp1)) -> (~(c2_1 (a854))) -> (~(c0_1 (a854))) -> (c1_1 (a854)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp9)) -> False). % 0.81/1.02 do 0 intro. intros zenon_He4 zenon_He5 zenon_Hce zenon_Hcc zenon_H62 zenon_H61 zenon_H63 zenon_Hd0 zenon_H46 zenon_H48 zenon_H15. % 0.81/1.02 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.81/1.02 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.81/1.02 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.81/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He8 ]. % 0.81/1.02 apply (zenon_L56_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H16 ]. % 0.81/1.02 apply (zenon_L59_); trivial. % 0.81/1.02 exact (zenon_H15 zenon_H16). % 0.81/1.02 (* end of lemma zenon_L60_ *) % 0.81/1.02 assert (zenon_L61_ : (~(hskp23)) -> (hskp23) -> False). % 0.81/1.02 do 0 intro. intros zenon_He9 zenon_Hea. % 0.81/1.02 exact (zenon_He9 zenon_Hea). % 0.81/1.02 (* end of lemma zenon_L61_ *) % 0.81/1.02 assert (zenon_L62_ : (~(hskp3)) -> (hskp3) -> False). % 0.81/1.02 do 0 intro. intros zenon_Heb zenon_Hec. % 0.81/1.02 exact (zenon_Heb zenon_Hec). % 0.81/1.02 (* end of lemma zenon_L62_ *) % 0.81/1.02 assert (zenon_L63_ : ((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a854)) -> (~(c2_1 (a854))) -> (~(c0_1 (a854))) -> (~(hskp3)) -> (~(hskp23)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hbe zenon_H7a zenon_H63 zenon_H62 zenon_H61 zenon_Heb zenon_He9 zenon_Hed zenon_H1d zenon_H2a zenon_H1e. % 0.81/1.02 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H1a. zenon_intro zenon_Hbf. % 0.81/1.02 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Had. zenon_intro zenon_Hc0. % 0.81/1.02 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.81/1.02 apply (zenon_L30_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hef | zenon_intro zenon_Hee ]. % 0.81/1.02 generalize (zenon_Hef (a833)). zenon_intro zenon_Hf0. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_Hf0); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf1 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hbd ]. % 0.81/1.02 exact (zenon_Hb3 zenon_Had). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb4 ]. % 0.81/1.02 apply (zenon_L48_); trivial. % 0.81/1.02 exact (zenon_Hb4 zenon_Haf). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hea | zenon_intro zenon_Hec ]. % 0.81/1.02 exact (zenon_He9 zenon_Hea). % 0.81/1.02 exact (zenon_Heb zenon_Hec). % 0.81/1.02 apply (zenon_L24_); trivial. % 0.81/1.02 (* end of lemma zenon_L63_ *) % 0.81/1.02 assert (zenon_L64_ : ((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp3)) -> (~(hskp23)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp14)) -> (~(hskp7)) -> False). % 0.81/1.02 do 0 intro. intros zenon_He4 zenon_Hf2 zenon_Heb zenon_He9 zenon_Hed zenon_H9 zenon_H1. % 0.81/1.02 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.81/1.02 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.81/1.02 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ]. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hef | zenon_intro zenon_Hee ]. % 0.81/1.02 generalize (zenon_Hf4 (a818)). zenon_intro zenon_Hf5. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_Hf5); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf6 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hf7 ]. % 0.81/1.02 generalize (zenon_Hef (a818)). zenon_intro zenon_Hf8. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_Hf8); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf9 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hdc | zenon_intro zenon_He2 ]. % 0.81/1.02 exact (zenon_Hdc zenon_Hd3). % 0.81/1.02 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_He3 | zenon_intro zenon_Hdd ]. % 0.81/1.02 exact (zenon_He3 zenon_Hdf). % 0.81/1.02 exact (zenon_Hdd zenon_Hd8). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hde | zenon_intro zenon_He3 ]. % 0.81/1.02 exact (zenon_Hde zenon_Hd4). % 0.81/1.02 exact (zenon_He3 zenon_Hdf). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hea | zenon_intro zenon_Hec ]. % 0.81/1.02 exact (zenon_He9 zenon_Hea). % 0.81/1.02 exact (zenon_Heb zenon_Hec). % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Ha | zenon_intro zenon_H2 ]. % 0.81/1.02 exact (zenon_H9 zenon_Ha). % 0.81/1.02 exact (zenon_H1 zenon_H2). % 0.81/1.02 (* end of lemma zenon_L64_ *) % 0.81/1.02 assert (zenon_L65_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (c1_1 (a854)) -> (~(c2_1 (a854))) -> (~(c0_1 (a854))) -> (ndr1_0) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> (~(hskp23)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hfa zenon_Hf2 zenon_H1 zenon_H9 zenon_H7a zenon_H2a zenon_H1d zenon_H1e zenon_Hab zenon_H63 zenon_H62 zenon_H61 zenon_H1a zenon_Hed zenon_Heb zenon_He9 zenon_Hc1. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hbe ]. % 0.81/1.02 apply (zenon_L46_); trivial. % 0.81/1.02 apply (zenon_L63_); trivial. % 0.81/1.02 apply (zenon_L64_); trivial. % 0.81/1.02 (* end of lemma zenon_L65_ *) % 0.81/1.02 assert (zenon_L66_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a860))) -> (~(c1_1 (a860))) -> (~(c2_1 (a860))) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hfb zenon_H1a zenon_Hfc zenon_Hfd zenon_Hfe. % 0.81/1.02 generalize (zenon_Hfb (a860)). zenon_intro zenon_Hff. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_Hff); [ zenon_intro zenon_H19 | zenon_intro zenon_H100 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H102 | zenon_intro zenon_H101 ]. % 0.81/1.02 exact (zenon_Hfc zenon_H102). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ]. % 0.81/1.02 exact (zenon_Hfd zenon_H104). % 0.81/1.02 exact (zenon_Hfe zenon_H103). % 0.81/1.02 (* end of lemma zenon_L66_ *) % 0.81/1.02 assert (zenon_L67_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26)))))) -> (ndr1_0) -> (~(c1_1 (a862))) -> (c0_1 (a862)) -> (c3_1 (a862)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H33 zenon_H1a zenon_H105 zenon_H106 zenon_H107. % 0.81/1.02 generalize (zenon_H33 (a862)). zenon_intro zenon_H108. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H108); [ zenon_intro zenon_H19 | zenon_intro zenon_H109 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.81/1.02 exact (zenon_H105 zenon_H10b). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 0.81/1.02 exact (zenon_H10d zenon_H106). % 0.81/1.02 exact (zenon_H10c zenon_H107). % 0.81/1.02 (* end of lemma zenon_L67_ *) % 0.81/1.02 assert (zenon_L68_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a862))) -> (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X)))))) -> (c0_1 (a862)) -> (c3_1 (a862)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H10e zenon_H1a zenon_H105 zenon_H10f zenon_H106 zenon_H107. % 0.81/1.02 generalize (zenon_H10e (a862)). zenon_intro zenon_H110. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H110); [ zenon_intro zenon_H19 | zenon_intro zenon_H111 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H10b | zenon_intro zenon_H112 ]. % 0.81/1.02 exact (zenon_H105 zenon_H10b). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H113 | zenon_intro zenon_H10c ]. % 0.81/1.02 generalize (zenon_H10f (a862)). zenon_intro zenon_H114. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H114); [ zenon_intro zenon_H19 | zenon_intro zenon_H115 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H10b | zenon_intro zenon_H116 ]. % 0.81/1.02 exact (zenon_H105 zenon_H10b). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H117 | zenon_intro zenon_H10d ]. % 0.81/1.02 exact (zenon_H113 zenon_H117). % 0.81/1.02 exact (zenon_H10d zenon_H106). % 0.81/1.02 exact (zenon_H10c zenon_H107). % 0.81/1.02 (* end of lemma zenon_L68_ *) % 0.81/1.02 assert (zenon_L69_ : (~(hskp20)) -> (hskp20) -> False). % 0.81/1.02 do 0 intro. intros zenon_H118 zenon_H119. % 0.81/1.02 exact (zenon_H118 zenon_H119). % 0.81/1.02 (* end of lemma zenon_L69_ *) % 0.81/1.02 assert (zenon_L70_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c3_1 (a862)) -> (c0_1 (a862)) -> (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X)))))) -> (~(c1_1 (a862))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H11a zenon_H107 zenon_H106 zenon_H10f zenon_H105 zenon_H1a zenon_H118. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H33 | zenon_intro zenon_H11b ]. % 0.81/1.02 apply (zenon_L67_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10e | zenon_intro zenon_H119 ]. % 0.81/1.02 apply (zenon_L68_); trivial. % 0.81/1.02 exact (zenon_H118 zenon_H119). % 0.81/1.02 (* end of lemma zenon_L70_ *) % 0.81/1.02 assert (zenon_L71_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(c2_1 (a860))) -> (~(c1_1 (a860))) -> (~(c0_1 (a860))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp1)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H11c zenon_H11d zenon_Hfe zenon_Hfd zenon_Hfc zenon_H118 zenon_H11a zenon_Hcc. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hfb | zenon_intro zenon_H120 ]. % 0.81/1.02 apply (zenon_L66_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H10f | zenon_intro zenon_Hcd ]. % 0.81/1.02 apply (zenon_L70_); trivial. % 0.81/1.02 exact (zenon_Hcc zenon_Hcd). % 0.81/1.02 (* end of lemma zenon_L71_ *) % 0.81/1.02 assert (zenon_L72_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(c0_1 (a854))) -> (~(c2_1 (a854))) -> (c1_1 (a854)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> False). % 0.81/1.02 do 0 intro. intros zenon_H121 zenon_H122 zenon_H11d zenon_Hcc zenon_H118 zenon_H11a zenon_Hc1 zenon_Heb zenon_Hed zenon_H61 zenon_H62 zenon_H63 zenon_Hab zenon_H1e zenon_H1d zenon_H2a zenon_H7a zenon_H9 zenon_H1 zenon_Hf2 zenon_Hfa. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.81/1.02 apply (zenon_L65_); trivial. % 0.81/1.02 apply (zenon_L71_); trivial. % 0.81/1.02 (* end of lemma zenon_L72_ *) % 0.81/1.02 assert (zenon_L73_ : (~(hskp25)) -> (hskp25) -> False). % 0.81/1.02 do 0 intro. intros zenon_H125 zenon_H126. % 0.81/1.02 exact (zenon_H125 zenon_H126). % 0.81/1.02 (* end of lemma zenon_L73_ *) % 0.81/1.02 assert (zenon_L74_ : ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp23)) -> (~(hskp25)) -> (~(hskp5)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H127 zenon_He9 zenon_H125 zenon_H3. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hea | zenon_intro zenon_H128 ]. % 0.81/1.02 exact (zenon_He9 zenon_Hea). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H126 | zenon_intro zenon_H4 ]. % 0.81/1.02 exact (zenon_H125 zenon_H126). % 0.81/1.02 exact (zenon_H3 zenon_H4). % 0.81/1.02 (* end of lemma zenon_L74_ *) % 0.81/1.02 assert (zenon_L75_ : (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c3_1 (a892))) -> (c1_1 (a892)) -> (c2_1 (a892)) -> False). % 0.81/1.02 do 0 intro. intros zenon_Hf4 zenon_H1a zenon_H129 zenon_H12a zenon_H12b. % 0.81/1.02 generalize (zenon_Hf4 (a892)). zenon_intro zenon_H12c. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H12c); [ zenon_intro zenon_H19 | zenon_intro zenon_H12d ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H12f | zenon_intro zenon_H12e ]. % 0.81/1.02 exact (zenon_H129 zenon_H12f). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H131 | zenon_intro zenon_H130 ]. % 0.81/1.02 exact (zenon_H131 zenon_H12a). % 0.81/1.02 exact (zenon_H130 zenon_H12b). % 0.81/1.02 (* end of lemma zenon_L75_ *) % 0.81/1.02 assert (zenon_L76_ : ((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp14)) -> (~(hskp7)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H132 zenon_Hf2 zenon_H9 zenon_H1. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H1a. zenon_intro zenon_H133. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12a. zenon_intro zenon_H134. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H12b. zenon_intro zenon_H129. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ]. % 0.81/1.02 apply (zenon_L75_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Ha | zenon_intro zenon_H2 ]. % 0.81/1.02 exact (zenon_H9 zenon_Ha). % 0.81/1.02 exact (zenon_H1 zenon_H2). % 0.81/1.02 (* end of lemma zenon_L76_ *) % 0.81/1.02 assert (zenon_L77_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (~(hskp14)) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> False). % 0.81/1.02 do 0 intro. intros zenon_H135 zenon_Hf2 zenon_H1 zenon_H9 zenon_He9 zenon_H3 zenon_H127. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H125 | zenon_intro zenon_H132 ]. % 0.81/1.02 apply (zenon_L74_); trivial. % 0.81/1.02 apply (zenon_L76_); trivial. % 0.81/1.02 (* end of lemma zenon_L77_ *) % 0.81/1.02 assert (zenon_L78_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X)))))) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H1b zenon_H1a zenon_H10f zenon_H136 zenon_H137 zenon_H138. % 0.81/1.02 generalize (zenon_H1b (a856)). zenon_intro zenon_H139. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H139); [ zenon_intro zenon_H19 | zenon_intro zenon_H13a ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H13c | zenon_intro zenon_H13b ]. % 0.81/1.02 generalize (zenon_H10f (a856)). zenon_intro zenon_H13d. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H13d); [ zenon_intro zenon_H19 | zenon_intro zenon_H13e ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 0.81/1.02 exact (zenon_H136 zenon_H140). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 0.81/1.02 exact (zenon_H137 zenon_H142). % 0.81/1.02 exact (zenon_H141 zenon_H13c). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H142 | zenon_intro zenon_H143 ]. % 0.81/1.02 exact (zenon_H137 zenon_H142). % 0.81/1.02 exact (zenon_H143 zenon_H138). % 0.81/1.02 (* end of lemma zenon_L78_ *) % 0.81/1.02 assert (zenon_L79_ : (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H144 zenon_H1a zenon_H136 zenon_H137 zenon_H138. % 0.81/1.02 generalize (zenon_H144 (a856)). zenon_intro zenon_H145. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H145); [ zenon_intro zenon_H19 | zenon_intro zenon_H146 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H140 | zenon_intro zenon_H13b ]. % 0.81/1.02 exact (zenon_H136 zenon_H140). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H142 | zenon_intro zenon_H143 ]. % 0.81/1.02 exact (zenon_H137 zenon_H142). % 0.81/1.02 exact (zenon_H143 zenon_H138). % 0.81/1.02 (* end of lemma zenon_L79_ *) % 0.81/1.02 assert (zenon_L80_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H11c zenon_H4d zenon_H136 zenon_H137 zenon_H138 zenon_H147 zenon_H1d zenon_H2a zenon_H1e. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H10f | zenon_intro zenon_H148 ]. % 0.81/1.02 apply (zenon_L78_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H29 ]. % 0.81/1.02 apply (zenon_L79_); trivial. % 0.81/1.02 apply (zenon_L16_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.81/1.02 apply (zenon_L67_); trivial. % 0.81/1.02 apply (zenon_L24_); trivial. % 0.81/1.02 (* end of lemma zenon_L80_ *) % 0.81/1.02 assert (zenon_L81_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp5)) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> False). % 0.81/1.02 do 0 intro. intros zenon_H149 zenon_H122 zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H147 zenon_H127 zenon_H3 zenon_H9 zenon_H1 zenon_Hf2 zenon_H135. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.81/1.02 apply (zenon_L77_); trivial. % 0.81/1.02 apply (zenon_L80_); trivial. % 0.81/1.02 (* end of lemma zenon_L81_ *) % 0.81/1.02 assert (zenon_L82_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.81/1.02 do 0 intro. intros zenon_Ha3 zenon_H83 zenon_H79 zenon_H5f zenon_H59 zenon_H31 zenon_H48 zenon_H46 zenon_H4d zenon_H15 zenon_H17 zenon_H14c zenon_H122 zenon_H11d zenon_H11a zenon_Heb zenon_Hed zenon_Hf2 zenon_Hc1 zenon_Hab zenon_H7a zenon_Hd0 zenon_Hcc zenon_He5 zenon_Hfa zenon_H135 zenon_H127 zenon_H147 zenon_H14d zenon_H78 zenon_H1 zenon_H3 zenon_H7. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.81/1.02 apply (zenon_L4_); trivial. % 0.81/1.02 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.81/1.02 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.81/1.02 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.81/1.02 apply (zenon_L29_); trivial. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.81/1.02 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.81/1.02 apply (zenon_L52_); trivial. % 0.81/1.02 apply (zenon_L60_); trivial. % 0.81/1.02 apply (zenon_L72_); trivial. % 0.81/1.02 apply (zenon_L81_); trivial. % 0.81/1.02 apply (zenon_L33_); trivial. % 0.81/1.02 (* end of lemma zenon_L82_ *) % 0.81/1.02 assert (zenon_L83_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H14e zenon_H1a zenon_H6a zenon_H6b zenon_H7d. % 0.81/1.02 generalize (zenon_H14e (a842)). zenon_intro zenon_H14f. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H14f); [ zenon_intro zenon_H19 | zenon_intro zenon_H150 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H70 | zenon_intro zenon_H151 ]. % 0.81/1.02 exact (zenon_H6a zenon_H70). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H72 | zenon_intro zenon_H152 ]. % 0.81/1.02 exact (zenon_H72 zenon_H6b). % 0.81/1.02 exact (zenon_H152 zenon_H7d). % 0.81/1.02 (* end of lemma zenon_L83_ *) % 0.81/1.02 assert (zenon_L84_ : (~(hskp19)) -> (hskp19) -> False). % 0.81/1.02 do 0 intro. intros zenon_H153 zenon_H154. % 0.81/1.02 exact (zenon_H153 zenon_H154). % 0.81/1.02 (* end of lemma zenon_L84_ *) % 0.81/1.02 assert (zenon_L85_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp19)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H155 zenon_H7d zenon_H6b zenon_H6a zenon_H1a zenon_H2f zenon_H153. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14e | zenon_intro zenon_H156 ]. % 0.81/1.02 apply (zenon_L83_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H30 | zenon_intro zenon_H154 ]. % 0.81/1.02 exact (zenon_H2f zenon_H30). % 0.81/1.02 exact (zenon_H153 zenon_H154). % 0.81/1.02 (* end of lemma zenon_L85_ *) % 0.81/1.02 assert (zenon_L86_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (c3_1 (a865)) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H48 zenon_Hc3 zenon_H51 zenon_H50 zenon_H4f zenon_H1a zenon_H46. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H29 | zenon_intro zenon_H49 ]. % 0.81/1.02 generalize (zenon_H29 (a865)). zenon_intro zenon_H157. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H157); [ zenon_intro zenon_H19 | zenon_intro zenon_H158 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ]. % 0.81/1.02 generalize (zenon_Hc3 (a865)). zenon_intro zenon_H15b. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_H19 | zenon_intro zenon_H15c ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15d | zenon_intro zenon_H159 ]. % 0.81/1.02 exact (zenon_H15a zenon_H15d). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ]. % 0.81/1.02 exact (zenon_H55 zenon_H4f). % 0.81/1.02 exact (zenon_H56 zenon_H51). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ]. % 0.81/1.02 exact (zenon_H55 zenon_H4f). % 0.81/1.02 exact (zenon_H56 zenon_H51). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.81/1.02 apply (zenon_L26_); trivial. % 0.81/1.02 exact (zenon_H46 zenon_H47). % 0.81/1.02 (* end of lemma zenon_L86_ *) % 0.81/1.02 assert (zenon_L87_ : (~(hskp15)) -> (hskp15) -> False). % 0.81/1.02 do 0 intro. intros zenon_H15e zenon_H15f. % 0.81/1.02 exact (zenon_H15e zenon_H15f). % 0.81/1.02 (* end of lemma zenon_L87_ *) % 0.81/1.02 assert (zenon_L88_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp15)) -> (~(hskp8)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H5c zenon_H160 zenon_H48 zenon_H15e zenon_H46. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H161 ]. % 0.81/1.02 apply (zenon_L86_); trivial. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H15f | zenon_intro zenon_H47 ]. % 0.81/1.02 exact (zenon_H15e zenon_H15f). % 0.81/1.02 exact (zenon_H46 zenon_H47). % 0.81/1.02 (* end of lemma zenon_L88_ *) % 0.81/1.02 assert (zenon_L89_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp15)) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (ndr1_0) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> False). % 0.81/1.02 do 0 intro. intros zenon_H59 zenon_H160 zenon_H15e zenon_H46 zenon_H48 zenon_H1a zenon_H6a zenon_H6b zenon_H7d zenon_H153 zenon_H155. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.81/1.02 apply (zenon_L85_); trivial. % 0.81/1.02 apply (zenon_L88_); trivial. % 0.81/1.02 (* end of lemma zenon_L89_ *) % 0.81/1.02 assert (zenon_L90_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a855))) -> (~(c1_1 (a855))) -> (~(c3_1 (a855))) -> False). % 0.81/1.02 do 0 intro. intros zenon_H162 zenon_H1a zenon_H163 zenon_H164 zenon_H165. % 0.81/1.02 generalize (zenon_H162 (a855)). zenon_intro zenon_H166. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H166); [ zenon_intro zenon_H19 | zenon_intro zenon_H167 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H169 | zenon_intro zenon_H168 ]. % 0.81/1.02 exact (zenon_H163 zenon_H169). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 0.81/1.02 exact (zenon_H164 zenon_H16b). % 0.81/1.02 exact (zenon_H165 zenon_H16a). % 0.81/1.02 (* end of lemma zenon_L90_ *) % 0.81/1.02 assert (zenon_L91_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H16c zenon_H1a zenon_H16d zenon_H16e zenon_H16f. % 0.81/1.02 generalize (zenon_H16c (a831)). zenon_intro zenon_H170. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H170); [ zenon_intro zenon_H19 | zenon_intro zenon_H171 ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H173 | zenon_intro zenon_H172 ]. % 0.81/1.02 exact (zenon_H16d zenon_H173). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H175 | zenon_intro zenon_H174 ]. % 0.81/1.02 exact (zenon_H16e zenon_H175). % 0.81/1.02 exact (zenon_H174 zenon_H16f). % 0.81/1.02 (* end of lemma zenon_L91_ *) % 0.81/1.02 assert (zenon_L92_ : ((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> False). % 0.81/1.02 do 0 intro. intros zenon_H176 zenon_H177 zenon_H16f zenon_H16e zenon_H16d. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.81/1.02 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.81/1.02 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.81/1.02 apply (zenon_L90_); trivial. % 0.81/1.02 apply (zenon_L91_); trivial. % 0.81/1.02 (* end of lemma zenon_L92_ *) % 0.81/1.02 assert (zenon_L93_ : (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48)))))) -> (ndr1_0) -> (~(c1_1 (a844))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c3_1 (a844))) -> (c2_1 (a844)) -> False). % 0.81/1.02 do 0 intro. intros zenon_H17a zenon_H1a zenon_H17b zenon_H162 zenon_H17c zenon_H17d. % 0.81/1.02 generalize (zenon_H17a (a844)). zenon_intro zenon_H17e. % 0.81/1.02 apply (zenon_imply_s _ _ zenon_H17e); [ zenon_intro zenon_H19 | zenon_intro zenon_H17f ]. % 0.81/1.02 exact (zenon_H19 zenon_H1a). % 0.81/1.02 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 0.81/1.03 exact (zenon_H17b zenon_H181). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H183 | zenon_intro zenon_H182 ]. % 0.81/1.03 generalize (zenon_H162 (a844)). zenon_intro zenon_H184. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H184); [ zenon_intro zenon_H19 | zenon_intro zenon_H185 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H187 | zenon_intro zenon_H186 ]. % 0.81/1.03 exact (zenon_H183 zenon_H187). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H181 | zenon_intro zenon_H188 ]. % 0.81/1.03 exact (zenon_H17b zenon_H181). % 0.81/1.03 exact (zenon_H17c zenon_H188). % 0.81/1.03 exact (zenon_H182 zenon_H17d). % 0.81/1.03 (* end of lemma zenon_L93_ *) % 0.81/1.03 assert (zenon_L94_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> (c2_1 (a844)) -> (~(c3_1 (a844))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a844))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H189 zenon_H17d zenon_H17c zenon_H162 zenon_H17b zenon_H7d zenon_H6b zenon_H6a zenon_H1a zenon_H153. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H17a | zenon_intro zenon_H18a ]. % 0.81/1.03 apply (zenon_L93_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H14e | zenon_intro zenon_H154 ]. % 0.81/1.03 apply (zenon_L83_); trivial. % 0.81/1.03 exact (zenon_H153 zenon_H154). % 0.81/1.03 (* end of lemma zenon_L94_ *) % 0.81/1.03 assert (zenon_L95_ : ((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H18b zenon_H18c zenon_H189 zenon_H7d zenon_H6b zenon_H6a zenon_H16d zenon_H16e zenon_H16f zenon_H177. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H1a. zenon_intro zenon_H18d. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H17d. zenon_intro zenon_H18e. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.81/1.03 apply (zenon_L94_); trivial. % 0.81/1.03 apply (zenon_L91_); trivial. % 0.81/1.03 apply (zenon_L92_); trivial. % 0.81/1.03 (* end of lemma zenon_L95_ *) % 0.81/1.03 assert (zenon_L96_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H77 zenon_H18f zenon_H189 zenon_H59 zenon_H160 zenon_H46 zenon_H48 zenon_H155 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H18c. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.81/1.03 apply (zenon_L89_); trivial. % 0.81/1.03 apply (zenon_L92_); trivial. % 0.81/1.03 apply (zenon_L95_); trivial. % 0.81/1.03 (* end of lemma zenon_L96_ *) % 0.81/1.03 assert (zenon_L97_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a831))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a831))) -> (c3_1 (a831)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H10e zenon_H1a zenon_H16e zenon_Hfb zenon_H16d zenon_H16f. % 0.81/1.03 generalize (zenon_H10e (a831)). zenon_intro zenon_H190. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H190); [ zenon_intro zenon_H19 | zenon_intro zenon_H191 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H175 | zenon_intro zenon_H192 ]. % 0.81/1.03 exact (zenon_H16e zenon_H175). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H193 | zenon_intro zenon_H174 ]. % 0.81/1.03 generalize (zenon_Hfb (a831)). zenon_intro zenon_H194. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H194); [ zenon_intro zenon_H19 | zenon_intro zenon_H195 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H173 | zenon_intro zenon_H196 ]. % 0.81/1.03 exact (zenon_H16d zenon_H173). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H175 | zenon_intro zenon_H197 ]. % 0.81/1.03 exact (zenon_H16e zenon_H175). % 0.81/1.03 exact (zenon_H193 zenon_H197). % 0.81/1.03 exact (zenon_H174 zenon_H16f). % 0.81/1.03 (* end of lemma zenon_L97_ *) % 0.81/1.03 assert (zenon_L98_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> (c3_1 (a831)) -> (~(c0_1 (a831))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a831))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp22)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H198 zenon_H16f zenon_H16d zenon_Hfb zenon_H16e zenon_H1a zenon_H9 zenon_Hce. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H10e | zenon_intro zenon_H199 ]. % 0.81/1.03 apply (zenon_L97_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Ha | zenon_intro zenon_Hcf ]. % 0.81/1.03 exact (zenon_H9 zenon_Ha). % 0.81/1.03 exact (zenon_Hce zenon_Hcf). % 0.81/1.03 (* end of lemma zenon_L98_ *) % 0.81/1.03 assert (zenon_L99_ : (~(hskp2)) -> (hskp2) -> False). % 0.81/1.03 do 0 intro. intros zenon_H19a zenon_H19b. % 0.81/1.03 exact (zenon_H19a zenon_H19b). % 0.81/1.03 (* end of lemma zenon_L99_ *) % 0.81/1.03 assert (zenon_L100_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((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))))))\/(hskp2))) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (~(hskp2)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H121 zenon_H19c zenon_H94 zenon_H93 zenon_H92 zenon_H19a. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H19d ]. % 0.81/1.03 apply (zenon_L66_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H91 | zenon_intro zenon_H19b ]. % 0.81/1.03 apply (zenon_L38_); trivial. % 0.81/1.03 exact (zenon_H19a zenon_H19b). % 0.81/1.03 (* end of lemma zenon_L100_ *) % 0.81/1.03 assert (zenon_L101_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> (~(hskp14)) -> (c3_1 (a831)) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (ndr1_0) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H14c zenon_H198 zenon_H9 zenon_H16f zenon_H16d zenon_H16e zenon_H1a zenon_H92 zenon_H93 zenon_H94 zenon_H19a zenon_H19c. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H19d ]. % 0.81/1.03 apply (zenon_L98_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H91 | zenon_intro zenon_H19b ]. % 0.81/1.03 apply (zenon_L38_); trivial. % 0.81/1.03 exact (zenon_H19a zenon_H19b). % 0.81/1.03 apply (zenon_L100_); trivial. % 0.81/1.03 (* end of lemma zenon_L101_ *) % 0.81/1.03 assert (zenon_L102_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((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))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (c3_1 (a831)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H19e zenon_H83 zenon_H18f zenon_H189 zenon_H59 zenon_H160 zenon_H46 zenon_H48 zenon_H155 zenon_H177 zenon_H18c zenon_H19c zenon_H19a zenon_H16e zenon_H16d zenon_H16f zenon_H198 zenon_H14c. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.03 apply (zenon_L101_); trivial. % 0.81/1.03 apply (zenon_L96_); trivial. % 0.81/1.03 (* end of lemma zenon_L102_ *) % 0.81/1.03 assert (zenon_L103_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((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))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1a1 zenon_H19c zenon_H19a zenon_H198 zenon_H14c zenon_Hf zenon_Hd zenon_H18c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H155 zenon_H48 zenon_H46 zenon_H160 zenon_H59 zenon_H189 zenon_H18f zenon_H83. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.03 apply (zenon_L8_); trivial. % 0.81/1.03 apply (zenon_L96_); trivial. % 0.81/1.03 apply (zenon_L102_); trivial. % 0.81/1.03 (* end of lemma zenon_L103_ *) % 0.81/1.03 assert (zenon_L104_ : ((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (~(hskp13)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H9d zenon_H1a2 zenon_Hb zenon_H5. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H8a. zenon_intro zenon_Ha0. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H88. zenon_intro zenon_H89. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H87 | zenon_intro zenon_H1a3 ]. % 0.81/1.03 apply (zenon_L37_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc | zenon_intro zenon_H6 ]. % 0.81/1.03 exact (zenon_Hb zenon_Hc). % 0.81/1.03 exact (zenon_H5 zenon_H6). % 0.81/1.03 (* end of lemma zenon_L104_ *) % 0.81/1.03 assert (zenon_L105_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> (~(hskp14)) -> ((hskp14)\/(hskp24)) -> False). % 0.81/1.03 do 0 intro. intros zenon_Ha2 zenon_H1a2 zenon_H5 zenon_Hb zenon_H9 zenon_H86. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H84 | zenon_intro zenon_H9d ]. % 0.81/1.03 apply (zenon_L36_); trivial. % 0.81/1.03 apply (zenon_L104_); trivial. % 0.81/1.03 (* end of lemma zenon_L105_ *) % 0.81/1.03 assert (zenon_L106_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((hskp14)\/(hskp24)) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp12)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H83 zenon_H18f zenon_H189 zenon_H59 zenon_H160 zenon_H46 zenon_H48 zenon_H155 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H18c zenon_H86 zenon_Hb zenon_H5 zenon_H1a2 zenon_Ha2. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.03 apply (zenon_L105_); trivial. % 0.81/1.03 apply (zenon_L96_); trivial. % 0.81/1.03 (* end of lemma zenon_L106_ *) % 0.81/1.03 assert (zenon_L107_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.81/1.03 do 0 intro. intros zenon_Hc3 zenon_H1a zenon_H1c zenon_H2a zenon_H1e. % 0.81/1.03 generalize (zenon_Hc3 (a839)). zenon_intro zenon_H1a4. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H1a4); [ zenon_intro zenon_H19 | zenon_intro zenon_H1a5 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H22 | zenon_intro zenon_H2d ]. % 0.81/1.03 exact (zenon_H1c zenon_H22). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H2e | zenon_intro zenon_H23 ]. % 0.81/1.03 exact (zenon_H2e zenon_H2a). % 0.81/1.03 exact (zenon_H23 zenon_H1e). % 0.81/1.03 (* end of lemma zenon_L107_ *) % 0.81/1.03 assert (zenon_L108_ : (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(c2_1 (a839))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H25 zenon_H1a zenon_H1d zenon_Hc3 zenon_H2a zenon_H1e. % 0.81/1.03 generalize (zenon_H25 (a839)). zenon_intro zenon_H26. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H19 | zenon_intro zenon_H27 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H24 | zenon_intro zenon_H28 ]. % 0.81/1.03 exact (zenon_H1d zenon_H24). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H1c | zenon_intro zenon_H23 ]. % 0.81/1.03 apply (zenon_L107_); trivial. % 0.81/1.03 exact (zenon_H23 zenon_H1e). % 0.81/1.03 (* end of lemma zenon_L108_ *) % 0.81/1.03 assert (zenon_L109_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H29 zenon_H1a zenon_Hc3 zenon_H2a zenon_H1e. % 0.81/1.03 generalize (zenon_H29 (a839)). zenon_intro zenon_H2b. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H19 | zenon_intro zenon_H2c ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H1c | zenon_intro zenon_H2d ]. % 0.81/1.03 apply (zenon_L107_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H2e | zenon_intro zenon_H23 ]. % 0.81/1.03 exact (zenon_H2e zenon_H2a). % 0.81/1.03 exact (zenon_H23 zenon_H1e). % 0.81/1.03 (* end of lemma zenon_L109_ *) % 0.81/1.03 assert (zenon_L110_ : ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H31 zenon_H1d zenon_H1e zenon_H2a zenon_Hc3 zenon_H1a zenon_H2f. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 0.81/1.03 apply (zenon_L108_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H29 | zenon_intro zenon_H30 ]. % 0.81/1.03 apply (zenon_L109_); trivial. % 0.81/1.03 exact (zenon_H2f zenon_H30). % 0.81/1.03 (* end of lemma zenon_L110_ *) % 0.81/1.03 assert (zenon_L111_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H59 zenon_H48 zenon_H31 zenon_H1e zenon_H2a zenon_H1d zenon_H1a zenon_H15e zenon_H46 zenon_H160. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H161 ]. % 0.81/1.03 apply (zenon_L110_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H15f | zenon_intro zenon_H47 ]. % 0.81/1.03 exact (zenon_H15e zenon_H15f). % 0.81/1.03 exact (zenon_H46 zenon_H47). % 0.81/1.03 apply (zenon_L88_); trivial. % 0.81/1.03 (* end of lemma zenon_L111_ *) % 0.81/1.03 assert (zenon_L112_ : (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1a6 zenon_H1a zenon_H1a7 zenon_H1a8 zenon_H1a9. % 0.81/1.03 generalize (zenon_H1a6 (a835)). zenon_intro zenon_H1aa. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H1aa); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ab ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ]. % 0.81/1.03 exact (zenon_H1a7 zenon_H1ad). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1af | zenon_intro zenon_H1ae ]. % 0.81/1.03 exact (zenon_H1af zenon_H1a8). % 0.81/1.03 exact (zenon_H1ae zenon_H1a9). % 0.81/1.03 (* end of lemma zenon_L112_ *) % 0.81/1.03 assert (zenon_L113_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (~(c3_1 (a878))) -> (c1_1 (a878)) -> False). % 0.81/1.03 do 0 intro. intros zenon_Hc2 zenon_H1a zenon_Hf4 zenon_H89 zenon_H8a. % 0.81/1.03 generalize (zenon_Hc2 (a878)). zenon_intro zenon_H1b0. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H1b0); [ zenon_intro zenon_H19 | zenon_intro zenon_H1b1 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H8d ]. % 0.81/1.03 generalize (zenon_Hf4 (a878)). zenon_intro zenon_H1b3. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H1b3); [ zenon_intro zenon_H19 | zenon_intro zenon_H1b4 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H90 | zenon_intro zenon_H1b5 ]. % 0.81/1.03 exact (zenon_H89 zenon_H90). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H8f | zenon_intro zenon_H1b6 ]. % 0.81/1.03 exact (zenon_H8f zenon_H8a). % 0.81/1.03 exact (zenon_H1b6 zenon_H1b2). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 0.81/1.03 exact (zenon_H89 zenon_H90). % 0.81/1.03 exact (zenon_H8f zenon_H8a). % 0.81/1.03 (* end of lemma zenon_L113_ *) % 0.81/1.03 assert (zenon_L114_ : ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (c1_1 (a878)) -> (~(c3_1 (a878))) -> (ndr1_0) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (~(hskp14)) -> (~(hskp7)) -> False). % 0.81/1.03 do 0 intro. intros zenon_Hf2 zenon_H8a zenon_H89 zenon_H1a zenon_Hc2 zenon_H9 zenon_H1. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ]. % 0.81/1.03 apply (zenon_L113_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Ha | zenon_intro zenon_H2 ]. % 0.81/1.03 exact (zenon_H9 zenon_Ha). % 0.81/1.03 exact (zenon_H1 zenon_H2). % 0.81/1.03 (* end of lemma zenon_L114_ *) % 0.81/1.03 assert (zenon_L115_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (c2_1 (a844)) -> (~(c3_1 (a844))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a844))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (c1_1 (a878)) -> (~(c3_1 (a878))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp7)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H17d zenon_H17c zenon_H162 zenon_H17b zenon_Hf2 zenon_H8a zenon_H89 zenon_H1a zenon_H9 zenon_H1. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.81/1.03 apply (zenon_L112_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.81/1.03 apply (zenon_L93_); trivial. % 0.81/1.03 apply (zenon_L114_); trivial. % 0.81/1.03 (* end of lemma zenon_L115_ *) % 0.81/1.03 assert (zenon_L116_ : ((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp14)) -> ((hskp14)\/(hskp24)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H18b zenon_Ha2 zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_Hf2 zenon_H1 zenon_H1b7 zenon_H9 zenon_H86. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H1a. zenon_intro zenon_H18d. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H17d. zenon_intro zenon_H18e. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H84 | zenon_intro zenon_H9d ]. % 0.81/1.03 apply (zenon_L36_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H8a. zenon_intro zenon_Ha0. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H88. zenon_intro zenon_H89. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.81/1.03 apply (zenon_L115_); trivial. % 0.81/1.03 apply (zenon_L91_); trivial. % 0.81/1.03 (* end of lemma zenon_L116_ *) % 0.81/1.03 assert (zenon_L117_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp14)) -> ((hskp14)\/(hskp24)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H18f zenon_Ha2 zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_Hf2 zenon_H1 zenon_H1b7 zenon_H9 zenon_H86 zenon_H160 zenon_H46 zenon_H1a zenon_H1d zenon_H2a zenon_H1e zenon_H31 zenon_H48 zenon_H59. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.81/1.03 apply (zenon_L111_); trivial. % 0.81/1.03 apply (zenon_L116_); trivial. % 0.81/1.03 (* end of lemma zenon_L117_ *) % 0.81/1.03 assert (zenon_L118_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((hskp14)\/(hskp24)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp12)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1b9 zenon_H86 zenon_H1a2 zenon_Ha2 zenon_Hf2 zenon_H1 zenon_H1b7 zenon_H31 zenon_Ha3 zenon_H83 zenon_H18f zenon_H189 zenon_H59 zenon_H160 zenon_H46 zenon_H48 zenon_H155 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H18c zenon_Hf zenon_H14c zenon_H198 zenon_H19a zenon_H19c zenon_H1a1. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.81/1.03 apply (zenon_L103_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.81/1.03 apply (zenon_L106_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.03 apply (zenon_L117_); trivial. % 0.81/1.03 apply (zenon_L96_); trivial. % 0.81/1.03 apply (zenon_L102_); trivial. % 0.81/1.03 (* end of lemma zenon_L118_ *) % 0.81/1.03 assert (zenon_L119_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1bd zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0. % 0.81/1.03 generalize (zenon_H1bd (a830)). zenon_intro zenon_H1c1. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H1c1); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c2 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c3 ]. % 0.81/1.03 exact (zenon_H1be zenon_H1c4). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1c5 ]. % 0.81/1.03 exact (zenon_H1bf zenon_H1c6). % 0.81/1.03 exact (zenon_H1c0 zenon_H1c5). % 0.81/1.03 (* end of lemma zenon_L119_ *) % 0.81/1.03 assert (zenon_L120_ : (~(hskp4)) -> (hskp4) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1c7 zenon_H1c8. % 0.81/1.03 exact (zenon_H1c7 zenon_H1c8). % 0.81/1.03 (* end of lemma zenon_L120_ *) % 0.81/1.03 assert (zenon_L121_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp7)\/(hskp4))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp4)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1c9 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H1 zenon_H1c7. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1ca ]. % 0.81/1.03 apply (zenon_L119_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H2 | zenon_intro zenon_H1c8 ]. % 0.81/1.03 exact (zenon_H1 zenon_H2). % 0.81/1.03 exact (zenon_H1c7 zenon_H1c8). % 0.81/1.03 (* end of lemma zenon_L121_ *) % 0.81/1.03 assert (zenon_L122_ : (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X)))))) -> (ndr1_0) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H10f zenon_H1a zenon_H1cb zenon_H1cc zenon_H1cd. % 0.81/1.03 generalize (zenon_H10f (a828)). zenon_intro zenon_H1ce. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H1ce); [ zenon_intro zenon_H19 | zenon_intro zenon_H1cf ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d0 ]. % 0.81/1.03 exact (zenon_H1cb zenon_H1d1). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1d2 ]. % 0.81/1.03 exact (zenon_H1cc zenon_H1d3). % 0.81/1.03 exact (zenon_H1d2 zenon_H1cd). % 0.81/1.03 (* end of lemma zenon_L122_ *) % 0.81/1.03 assert (zenon_L123_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a826))) -> (c2_1 (a826)) -> (c3_1 (a826)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H10e zenon_H1a zenon_H34 zenon_H41 zenon_H36. % 0.81/1.03 generalize (zenon_H10e (a826)). zenon_intro zenon_H1d4. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H1d4); [ zenon_intro zenon_H19 | zenon_intro zenon_H1d5 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H3a | zenon_intro zenon_H44 ]. % 0.81/1.03 exact (zenon_H34 zenon_H3a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H45 | zenon_intro zenon_H3b ]. % 0.81/1.03 exact (zenon_H45 zenon_H41). % 0.81/1.03 exact (zenon_H3b zenon_H36). % 0.81/1.03 (* end of lemma zenon_L123_ *) % 0.81/1.03 assert (zenon_L124_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (c0_1 (a826)) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54)))))) -> (c2_1 (a826)) -> (c3_1 (a826)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H29 zenon_H1a zenon_H35 zenon_H10e zenon_H41 zenon_H36. % 0.81/1.03 generalize (zenon_H29 (a826)). zenon_intro zenon_H3d. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H19 | zenon_intro zenon_H3e ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H3c | zenon_intro zenon_H3f ]. % 0.81/1.03 exact (zenon_H3c zenon_H35). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H34 | zenon_intro zenon_H3b ]. % 0.81/1.03 apply (zenon_L123_); trivial. % 0.81/1.03 exact (zenon_H3b zenon_H36). % 0.81/1.03 (* end of lemma zenon_L124_ *) % 0.81/1.03 assert (zenon_L125_ : (forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54)))))) -> (c2_1 (a826)) -> (c3_1 (a826)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H40 zenon_H1a zenon_H10e zenon_H41 zenon_H36. % 0.81/1.03 generalize (zenon_H40 (a826)). zenon_intro zenon_H42. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H19 | zenon_intro zenon_H43 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H34 | zenon_intro zenon_H44 ]. % 0.81/1.03 apply (zenon_L123_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H45 | zenon_intro zenon_H3b ]. % 0.81/1.03 exact (zenon_H45 zenon_H41). % 0.81/1.03 exact (zenon_H3b zenon_H36). % 0.81/1.03 (* end of lemma zenon_L125_ *) % 0.81/1.03 assert (zenon_L126_ : (~(hskp16)) -> (hskp16) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1d6 zenon_H1d7. % 0.81/1.03 exact (zenon_H1d6 zenon_H1d7). % 0.81/1.03 (* end of lemma zenon_L126_ *) % 0.81/1.03 assert (zenon_L127_ : ((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp16)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H58 zenon_H1d8 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H46 zenon_H48 zenon_H1d6. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H10f | zenon_intro zenon_H1d9 ]. % 0.81/1.03 apply (zenon_L122_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H10e | zenon_intro zenon_H1d7 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H29 | zenon_intro zenon_H49 ]. % 0.81/1.03 apply (zenon_L124_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.81/1.03 apply (zenon_L125_); trivial. % 0.81/1.03 exact (zenon_H46 zenon_H47). % 0.81/1.03 exact (zenon_H1d6 zenon_H1d7). % 0.81/1.03 (* end of lemma zenon_L127_ *) % 0.81/1.03 assert (zenon_L128_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H5f zenon_H1d8 zenon_H1d6 zenon_H46 zenon_H48 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H13 zenon_H15 zenon_H17. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.81/1.03 apply (zenon_L12_); trivial. % 0.81/1.03 apply (zenon_L127_); trivial. % 0.81/1.03 (* end of lemma zenon_L128_ *) % 0.81/1.03 assert (zenon_L129_ : ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp13)) -> (~(hskp16)) -> (~(hskp19)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1da zenon_H5 zenon_H1d6 zenon_H153. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H6 | zenon_intro zenon_H1db ]. % 0.81/1.03 exact (zenon_H5 zenon_H6). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H154 ]. % 0.81/1.03 exact (zenon_H1d6 zenon_H1d7). % 0.81/1.03 exact (zenon_H153 zenon_H154). % 0.81/1.03 (* end of lemma zenon_L129_ *) % 0.81/1.03 assert (zenon_L130_ : (~(hskp0)) -> (hskp0) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1dc zenon_H1dd. % 0.81/1.03 exact (zenon_H1dc zenon_H1dd). % 0.81/1.03 (* end of lemma zenon_L130_ *) % 0.81/1.03 assert (zenon_L131_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> (~(c3_1 (a855))) -> (~(c1_1 (a855))) -> (~(c0_1 (a855))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp0)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1de zenon_H165 zenon_H164 zenon_H163 zenon_H1a zenon_Ha7 zenon_H1dc. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H162 | zenon_intro zenon_H1df ]. % 0.81/1.03 apply (zenon_L90_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H1dd ]. % 0.81/1.03 exact (zenon_Ha7 zenon_Ha8). % 0.81/1.03 exact (zenon_H1dc zenon_H1dd). % 0.81/1.03 (* end of lemma zenon_L131_ *) % 0.81/1.03 assert (zenon_L132_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(hskp1)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H121 zenon_H11d zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hcc. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hfb | zenon_intro zenon_H120 ]. % 0.81/1.03 apply (zenon_L66_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H10f | zenon_intro zenon_Hcd ]. % 0.81/1.03 apply (zenon_L122_); trivial. % 0.81/1.03 exact (zenon_Hcc zenon_Hcd). % 0.81/1.03 (* end of lemma zenon_L132_ *) % 0.81/1.03 assert (zenon_L133_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a848))) -> (c2_1 (a848)) -> (c3_1 (a848)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H10e zenon_H1a zenon_H1e0 zenon_H1e1 zenon_H1e2. % 0.81/1.03 generalize (zenon_H10e (a848)). zenon_intro zenon_H1e3. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H1e3); [ zenon_intro zenon_H19 | zenon_intro zenon_H1e4 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e5 ]. % 0.81/1.03 exact (zenon_H1e0 zenon_H1e6). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e7 ]. % 0.81/1.03 exact (zenon_H1e8 zenon_H1e1). % 0.81/1.03 exact (zenon_H1e7 zenon_H1e2). % 0.81/1.03 (* end of lemma zenon_L133_ *) % 0.81/1.03 assert (zenon_L134_ : ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> (c3_1 (a848)) -> (c2_1 (a848)) -> (~(c1_1 (a848))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp22)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H198 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H1a zenon_H9 zenon_Hce. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H10e | zenon_intro zenon_H199 ]. % 0.81/1.03 apply (zenon_L133_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_Ha | zenon_intro zenon_Hcf ]. % 0.81/1.03 exact (zenon_H9 zenon_Ha). % 0.81/1.03 exact (zenon_Hce zenon_Hcf). % 0.81/1.03 (* end of lemma zenon_L134_ *) % 0.81/1.03 assert (zenon_L135_ : ((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(hskp14)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1e9 zenon_H14c zenon_H11d zenon_Hcc zenon_H1cd zenon_H1cc zenon_H1cb zenon_H9 zenon_H198. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.81/1.03 apply (zenon_L134_); trivial. % 0.81/1.03 apply (zenon_L132_); trivial. % 0.81/1.03 (* end of lemma zenon_L135_ *) % 0.81/1.03 assert (zenon_L136_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> (~(c2_1 (a842))) -> (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> False). % 0.81/1.03 do 0 intro. intros zenon_Hc2 zenon_H1a zenon_H6a zenon_H25 zenon_H6b zenon_H7d. % 0.81/1.03 generalize (zenon_Hc2 (a842)). zenon_intro zenon_H1ec. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H1ec); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ed ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H70 | zenon_intro zenon_H1ee ]. % 0.81/1.03 exact (zenon_H6a zenon_H70). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H6c | zenon_intro zenon_H152 ]. % 0.81/1.03 apply (zenon_L31_); trivial. % 0.81/1.03 exact (zenon_H152 zenon_H7d). % 0.81/1.03 (* end of lemma zenon_L136_ *) % 0.81/1.03 assert (zenon_L137_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (~(c2_1 (a842))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp22)) -> False). % 0.81/1.03 do 0 intro. intros zenon_Hd0 zenon_H7d zenon_H6b zenon_H25 zenon_H6a zenon_H1a zenon_Hcc zenon_Hce. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hd1 ]. % 0.81/1.03 apply (zenon_L136_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcf ]. % 0.81/1.03 exact (zenon_Hcc zenon_Hcd). % 0.81/1.03 exact (zenon_Hce zenon_Hcf). % 0.81/1.03 (* end of lemma zenon_L137_ *) % 0.81/1.03 assert (zenon_L138_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H77 zenon_H14c zenon_H11d zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hd0 zenon_Hcc zenon_H15 zenon_H1ef. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H10f | zenon_intro zenon_H1f0 ]. % 0.81/1.03 apply (zenon_L122_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H25 | zenon_intro zenon_H16 ]. % 0.81/1.03 apply (zenon_L137_); trivial. % 0.81/1.03 exact (zenon_H15 zenon_H16). % 0.81/1.03 apply (zenon_L132_); trivial. % 0.81/1.03 (* end of lemma zenon_L138_ *) % 0.81/1.03 assert (zenon_L139_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> (~(c2_1 (a854))) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (c1_1 (a854)) -> False). % 0.81/1.03 do 0 intro. intros zenon_Hc2 zenon_H1a zenon_H62 zenon_H4a zenon_H63. % 0.81/1.03 generalize (zenon_Hc2 (a854)). zenon_intro zenon_Hc4. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_Hc4); [ zenon_intro zenon_H19 | zenon_intro zenon_Hc5 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H69 | zenon_intro zenon_Hc6 ]. % 0.81/1.03 exact (zenon_H62 zenon_H69). % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H68 ]. % 0.81/1.03 generalize (zenon_H4a (a854)). zenon_intro zenon_H1f1. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H1f1); [ zenon_intro zenon_H19 | zenon_intro zenon_H1f2 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H69 | zenon_intro zenon_Hca ]. % 0.81/1.03 exact (zenon_H62 zenon_H69). % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H68 | zenon_intro zenon_Hcb ]. % 0.81/1.03 exact (zenon_H68 zenon_H63). % 0.81/1.03 exact (zenon_Hcb zenon_Hc7). % 0.81/1.03 exact (zenon_H68 zenon_H63). % 0.81/1.03 (* end of lemma zenon_L139_ *) % 0.81/1.03 assert (zenon_L140_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c1_1 (a854)) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (~(c2_1 (a854))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp22)) -> False). % 0.81/1.03 do 0 intro. intros zenon_Hd0 zenon_H63 zenon_H4a zenon_H62 zenon_H1a zenon_Hcc zenon_Hce. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hd1 ]. % 0.81/1.03 apply (zenon_L139_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcf ]. % 0.81/1.03 exact (zenon_Hcc zenon_Hcd). % 0.81/1.03 exact (zenon_Hce zenon_Hcf). % 0.81/1.03 (* end of lemma zenon_L140_ *) % 0.81/1.03 assert (zenon_L141_ : ((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp9)) -> False). % 0.81/1.03 do 0 intro. intros zenon_Hbe zenon_H1ef zenon_H1cd zenon_H1cc zenon_H1cb zenon_H46 zenon_H48 zenon_H15. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H1a. zenon_intro zenon_Hbf. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Had. zenon_intro zenon_Hc0. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H10f | zenon_intro zenon_H1f0 ]. % 0.81/1.03 apply (zenon_L122_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H25 | zenon_intro zenon_H16 ]. % 0.81/1.03 apply (zenon_L50_); trivial. % 0.81/1.03 exact (zenon_H15 zenon_H16). % 0.81/1.03 (* end of lemma zenon_L141_ *) % 0.81/1.03 assert (zenon_L142_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (ndr1_0) -> (~(c0_1 (a854))) -> (~(c2_1 (a854))) -> (c1_1 (a854)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (~(hskp26)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp22)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_Hc1 zenon_H1ef zenon_H15 zenon_H46 zenon_H48 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1a zenon_H61 zenon_H62 zenon_H63 zenon_Hab zenon_Ha7 zenon_H1e zenon_H1d zenon_Hd0 zenon_Hce zenon_Hcc zenon_H7a. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hbe ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.81/1.03 apply (zenon_L30_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.81/1.03 apply (zenon_L45_); trivial. % 0.81/1.03 apply (zenon_L140_); trivial. % 0.81/1.03 apply (zenon_L141_); trivial. % 0.81/1.03 (* end of lemma zenon_L142_ *) % 0.81/1.03 assert (zenon_L143_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (~(hskp8)) -> (ndr1_0) -> (c1_1 (a818)) -> (c2_1 (a818)) -> (c0_1 (a818)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp9)) -> False). % 0.81/1.03 do 0 intro. intros zenon_He5 zenon_H1e zenon_H2a zenon_H1d zenon_H25 zenon_H46 zenon_H1a zenon_Hd4 zenon_Hdf zenon_Hd3 zenon_H48 zenon_H15. % 0.81/1.03 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He8 ]. % 0.81/1.03 apply (zenon_L108_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H16 ]. % 0.81/1.03 apply (zenon_L59_); trivial. % 0.81/1.03 exact (zenon_H15 zenon_H16). % 0.81/1.03 (* end of lemma zenon_L143_ *) % 0.81/1.03 assert (zenon_L144_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H78 zenon_H14c zenon_H11d zenon_Hc1 zenon_H1ef zenon_Hab zenon_Hd0 zenon_Hcc zenon_H7a zenon_He5 zenon_Hfa zenon_H17 zenon_H15 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H48 zenon_H46 zenon_H1d8 zenon_H5f zenon_H198 zenon_H1f3. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.81/1.03 apply (zenon_L128_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.81/1.03 apply (zenon_L142_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.81/1.03 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.81/1.03 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.81/1.03 apply (zenon_L30_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.81/1.03 apply (zenon_L143_); trivial. % 0.81/1.03 apply (zenon_L140_); trivial. % 0.81/1.03 apply (zenon_L132_); trivial. % 0.81/1.03 apply (zenon_L135_); trivial. % 0.81/1.03 apply (zenon_L138_); trivial. % 0.81/1.03 (* end of lemma zenon_L144_ *) % 0.81/1.03 assert (zenon_L145_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> (~(hskp14)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (c3_1 (a831)) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (ndr1_0) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1f3 zenon_H14c zenon_H9 zenon_H198 zenon_H1d8 zenon_H16f zenon_H16d zenon_H16e zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1a zenon_Hcc zenon_H11d. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hfb | zenon_intro zenon_H120 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H10f | zenon_intro zenon_H1d9 ]. % 0.81/1.03 apply (zenon_L122_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H10e | zenon_intro zenon_H1d7 ]. % 0.81/1.03 apply (zenon_L97_); trivial. % 0.81/1.03 exact (zenon_H1d6 zenon_H1d7). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H10f | zenon_intro zenon_Hcd ]. % 0.81/1.03 apply (zenon_L122_); trivial. % 0.81/1.03 exact (zenon_Hcc zenon_Hcd). % 0.81/1.03 apply (zenon_L135_); trivial. % 0.81/1.03 (* end of lemma zenon_L145_ *) % 0.81/1.03 assert (zenon_L146_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1f4 zenon_H83 zenon_H18f zenon_H189 zenon_H59 zenon_H160 zenon_H46 zenon_H48 zenon_H155 zenon_H177 zenon_H18c zenon_H11d zenon_Hcc zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1d8 zenon_H198 zenon_H14c zenon_H1f3. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.03 apply (zenon_L145_); trivial. % 0.81/1.03 apply (zenon_L96_); trivial. % 0.81/1.03 (* end of lemma zenon_L146_ *) % 0.81/1.03 assert (zenon_L147_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (c1_1 (a830)) -> False). % 0.81/1.03 do 0 intro. intros zenon_Hc2 zenon_H1a zenon_H1bf zenon_H1c0 zenon_H1f7. % 0.81/1.03 generalize (zenon_Hc2 (a830)). zenon_intro zenon_H1f8. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H1f8); [ zenon_intro zenon_H19 | zenon_intro zenon_H1f9 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1fa ]. % 0.81/1.03 exact (zenon_H1bf zenon_H1c6). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1fb ]. % 0.81/1.03 exact (zenon_H1c0 zenon_H1c5). % 0.81/1.03 exact (zenon_H1fb zenon_H1f7). % 0.81/1.03 (* end of lemma zenon_L147_ *) % 0.81/1.03 assert (zenon_L148_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1fc zenon_H1a zenon_Hc2 zenon_H1bf zenon_H1c0. % 0.81/1.03 generalize (zenon_H1fc (a830)). zenon_intro zenon_H1fd. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H1fd); [ zenon_intro zenon_H19 | zenon_intro zenon_H1fe ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1c3 ]. % 0.81/1.03 apply (zenon_L147_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1c5 ]. % 0.81/1.03 exact (zenon_H1bf zenon_H1c6). % 0.81/1.03 exact (zenon_H1c0 zenon_H1c5). % 0.81/1.03 (* end of lemma zenon_L148_ *) % 0.81/1.03 assert (zenon_L149_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(hskp1)) -> (~(hskp22)) -> False). % 0.81/1.03 do 0 intro. intros zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1a zenon_H1fc zenon_Hcc zenon_Hce. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hd1 ]. % 0.81/1.03 apply (zenon_L148_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcf ]. % 0.81/1.03 exact (zenon_Hcc zenon_Hcd). % 0.81/1.03 exact (zenon_Hce zenon_Hcf). % 0.81/1.03 (* end of lemma zenon_L149_ *) % 0.81/1.03 assert (zenon_L150_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp27)) -> (ndr1_0) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1ff zenon_H11 zenon_H1a zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hce zenon_Hd0. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H1fc | zenon_intro zenon_H12 ]. % 0.81/1.03 apply (zenon_L149_); trivial. % 0.81/1.03 exact (zenon_H11 zenon_H12). % 0.81/1.03 (* end of lemma zenon_L150_ *) % 0.81/1.03 assert (zenon_L151_ : ((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp22)) -> (~(hskp1)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(hskp16)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H58 zenon_H200 zenon_Hce zenon_Hcc zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_H1d8 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1d6. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1fc | zenon_intro zenon_H201 ]. % 0.81/1.03 apply (zenon_L149_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H10f | zenon_intro zenon_H40 ]. % 0.81/1.03 apply (zenon_L122_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H10f | zenon_intro zenon_H1d9 ]. % 0.81/1.03 apply (zenon_L122_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H10e | zenon_intro zenon_H1d7 ]. % 0.81/1.03 apply (zenon_L125_); trivial. % 0.81/1.03 exact (zenon_H1d6 zenon_H1d7). % 0.81/1.03 (* end of lemma zenon_L151_ *) % 0.81/1.03 assert (zenon_L152_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (ndr1_0) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (c3_1 (a865)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H200 zenon_H1c0 zenon_H1bf zenon_Hc2 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1a zenon_H4f zenon_H50 zenon_H51. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1fc | zenon_intro zenon_H201 ]. % 0.81/1.03 apply (zenon_L148_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H10f | zenon_intro zenon_H40 ]. % 0.81/1.03 apply (zenon_L122_); trivial. % 0.81/1.03 apply (zenon_L26_); trivial. % 0.81/1.03 (* end of lemma zenon_L152_ *) % 0.81/1.03 assert (zenon_L153_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp1)) -> (~(hskp22)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H5c zenon_Hd0 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1bf zenon_H1c0 zenon_H200 zenon_Hcc zenon_Hce. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hd1 ]. % 0.81/1.03 apply (zenon_L152_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcf ]. % 0.81/1.03 exact (zenon_Hcc zenon_Hcd). % 0.81/1.03 exact (zenon_Hce zenon_Hcf). % 0.81/1.03 (* end of lemma zenon_L153_ *) % 0.81/1.03 assert (zenon_L154_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H77 zenon_H18c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H59 zenon_Hd0 zenon_Hcc zenon_H1bf zenon_H1c0 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H200 zenon_H155 zenon_H11d zenon_H14c. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.81/1.03 apply (zenon_L85_); trivial. % 0.81/1.03 apply (zenon_L153_); trivial. % 0.81/1.03 apply (zenon_L132_); trivial. % 0.81/1.03 apply (zenon_L92_); trivial. % 0.81/1.03 (* end of lemma zenon_L154_ *) % 0.81/1.03 assert (zenon_L155_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1f4 zenon_H83 zenon_H18c zenon_H177 zenon_H59 zenon_Hd0 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H155 zenon_H11d zenon_Hcc zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1d8 zenon_H198 zenon_H14c zenon_H1f3. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.03 apply (zenon_L145_); trivial. % 0.81/1.03 apply (zenon_L154_); trivial. % 0.81/1.03 (* end of lemma zenon_L155_ *) % 0.81/1.03 assert (zenon_L156_ : ((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H202 zenon_H203 zenon_H18c zenon_H177 zenon_H59 zenon_H155 zenon_H1f3 zenon_H198 zenon_H5f zenon_H200 zenon_H1d8 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hd0 zenon_Hcc zenon_H1ff zenon_H11d zenon_H14c zenon_H1ef zenon_H83. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.81/1.03 apply (zenon_L150_); trivial. % 0.81/1.03 apply (zenon_L151_); trivial. % 0.81/1.03 apply (zenon_L132_); trivial. % 0.81/1.03 apply (zenon_L135_); trivial. % 0.81/1.03 apply (zenon_L138_); trivial. % 0.81/1.03 apply (zenon_L155_); trivial. % 0.81/1.03 (* end of lemma zenon_L156_ *) % 0.81/1.03 assert (zenon_L157_ : ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H206 zenon_H200 zenon_H1ff zenon_Ha3 zenon_Hc1 zenon_Hab zenon_H7a zenon_H1f3 zenon_H198 zenon_H5f zenon_H1d8 zenon_H48 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H17 zenon_H1da zenon_Hfa zenon_He5 zenon_Hcc zenon_Hd0 zenon_H1dc zenon_H1de zenon_H11d zenon_H14c zenon_H18c zenon_H78 zenon_H1ef zenon_H83 zenon_H177 zenon_H155 zenon_H160 zenon_H59 zenon_H189 zenon_H18f zenon_H203. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.81/1.03 apply (zenon_L128_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.81/1.03 apply (zenon_L129_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.81/1.03 apply (zenon_L131_); trivial. % 0.81/1.03 apply (zenon_L60_); trivial. % 0.81/1.03 apply (zenon_L132_); trivial. % 0.81/1.03 apply (zenon_L135_); trivial. % 0.81/1.03 apply (zenon_L138_); trivial. % 0.81/1.03 apply (zenon_L144_); trivial. % 0.81/1.03 apply (zenon_L146_); trivial. % 0.81/1.03 apply (zenon_L156_); trivial. % 0.81/1.03 (* end of lemma zenon_L157_ *) % 0.81/1.03 assert (zenon_L158_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((hskp14)\/(hskp24)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp12)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1f4 zenon_H1b9 zenon_H86 zenon_H1a2 zenon_Ha2 zenon_Hf2 zenon_H1 zenon_H1b7 zenon_H31 zenon_Ha3 zenon_H83 zenon_H18f zenon_H189 zenon_H59 zenon_H160 zenon_H46 zenon_H48 zenon_H155 zenon_H177 zenon_H18c zenon_Hf zenon_H14c zenon_H198 zenon_H19a zenon_H19c zenon_H1a1. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.81/1.03 apply (zenon_L118_); trivial. % 0.81/1.03 (* end of lemma zenon_L158_ *) % 0.81/1.03 assert (zenon_L159_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((hskp14)\/(hskp24)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp12)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((hskp7)\/((hskp5)\/(hskp13))) -> (~(hskp5)) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H203 zenon_H1b9 zenon_H86 zenon_H1a2 zenon_Ha2 zenon_H1b7 zenon_H18f zenon_H189 zenon_H160 zenon_H155 zenon_H177 zenon_H18c zenon_Hf zenon_H198 zenon_H19a zenon_H19c zenon_H1a1 zenon_H7 zenon_H3 zenon_H1 zenon_H78 zenon_H14d zenon_H147 zenon_H127 zenon_H135 zenon_Hfa zenon_He5 zenon_Hcc zenon_Hd0 zenon_H7a zenon_Hab zenon_Hc1 zenon_Hf2 zenon_Hed zenon_Heb zenon_H11a zenon_H11d zenon_H122 zenon_H14c zenon_H17 zenon_H4d zenon_H46 zenon_H48 zenon_H31 zenon_H59 zenon_H5f zenon_H79 zenon_H83 zenon_Ha3. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.81/1.03 apply (zenon_L82_); trivial. % 0.81/1.03 apply (zenon_L158_); trivial. % 0.81/1.03 (* end of lemma zenon_L159_ *) % 0.81/1.03 assert (zenon_L160_ : ((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp7)\/(hskp4))) -> (~(hskp7)) -> (~(hskp4)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H202 zenon_H1c9 zenon_H1 zenon_H1c7. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.81/1.03 apply (zenon_L121_); trivial. % 0.81/1.03 (* end of lemma zenon_L160_ *) % 0.81/1.03 assert (zenon_L161_ : ((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H207 zenon_H206 zenon_H200 zenon_H1ff zenon_Ha3 zenon_Hc1 zenon_Hab zenon_H7a zenon_H1f3 zenon_H198 zenon_H5f zenon_H1d8 zenon_H48 zenon_H17 zenon_H1da zenon_Hfa zenon_He5 zenon_Hcc zenon_Hd0 zenon_H1dc zenon_H1de zenon_H11d zenon_H14c zenon_H18c zenon_H78 zenon_H1ef zenon_H83 zenon_H177 zenon_H155 zenon_H160 zenon_H59 zenon_H189 zenon_H18f zenon_H203. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a. zenon_intro zenon_H208. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1cd. zenon_intro zenon_H209. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.81/1.03 apply (zenon_L157_); trivial. % 0.81/1.03 (* end of lemma zenon_L161_ *) % 0.81/1.03 assert (zenon_L162_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> False). % 0.81/1.03 do 0 intro. intros zenon_Hc3 zenon_H1a zenon_H20a zenon_H20b zenon_H20c. % 0.81/1.03 generalize (zenon_Hc3 (a825)). zenon_intro zenon_H20d. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_H19 | zenon_intro zenon_H20e ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ]. % 0.81/1.03 exact (zenon_H20a zenon_H210). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H212 | zenon_intro zenon_H211 ]. % 0.81/1.03 exact (zenon_H212 zenon_H20b). % 0.81/1.03 exact (zenon_H211 zenon_H20c). % 0.81/1.03 (* end of lemma zenon_L162_ *) % 0.81/1.03 assert (zenon_L163_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp13)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H1a zenon_H9 zenon_H5. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H214 ]. % 0.81/1.03 apply (zenon_L162_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_Ha | zenon_intro zenon_H6 ]. % 0.81/1.03 exact (zenon_H9 zenon_Ha). % 0.81/1.03 exact (zenon_H5 zenon_H6). % 0.81/1.03 (* end of lemma zenon_L163_ *) % 0.81/1.03 assert (zenon_L164_ : ((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp9)) -> False). % 0.81/1.03 do 0 intro. intros zenon_He4 zenon_He5 zenon_H20c zenon_H20b zenon_H20a zenon_H46 zenon_H48 zenon_H15. % 0.81/1.03 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.81/1.03 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.81/1.03 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.81/1.03 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He8 ]. % 0.81/1.03 apply (zenon_L162_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H16 ]. % 0.81/1.03 apply (zenon_L59_); trivial. % 0.81/1.03 exact (zenon_H15 zenon_H16). % 0.81/1.03 (* end of lemma zenon_L164_ *) % 0.81/1.03 assert (zenon_L165_ : ((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H176 zenon_Hfa zenon_He5 zenon_H15 zenon_H46 zenon_H48 zenon_H20c zenon_H20b zenon_H20a zenon_H1dc zenon_H1de. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.81/1.03 apply (zenon_L131_); trivial. % 0.81/1.03 apply (zenon_L164_); trivial. % 0.81/1.03 (* end of lemma zenon_L165_ *) % 0.81/1.03 assert (zenon_L166_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H18c zenon_Hfa zenon_He5 zenon_H15 zenon_H20c zenon_H20b zenon_H20a zenon_H1dc zenon_H1de zenon_H155 zenon_H7d zenon_H6b zenon_H6a zenon_H1a zenon_H48 zenon_H46 zenon_H15e zenon_H160 zenon_H59. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.81/1.03 apply (zenon_L89_); trivial. % 0.81/1.03 apply (zenon_L165_); trivial. % 0.81/1.03 (* end of lemma zenon_L166_ *) % 0.81/1.03 assert (zenon_L167_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> (~(hskp13)) -> (~(hskp16)) -> ((hskp13)\/((hskp16)\/(hskp19))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H18c zenon_Hfa zenon_He5 zenon_H15 zenon_H46 zenon_H48 zenon_H20c zenon_H20b zenon_H20a zenon_H1dc zenon_H1de zenon_H5 zenon_H1d6 zenon_H1da. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.81/1.03 apply (zenon_L129_); trivial. % 0.81/1.03 apply (zenon_L165_); trivial. % 0.81/1.03 (* end of lemma zenon_L167_ *) % 0.81/1.03 assert (zenon_L168_ : ((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c3_1 (a848)) -> (c2_1 (a848)) -> (~(c1_1 (a848))) -> (~(hskp20)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H58 zenon_H11a zenon_H46 zenon_H48 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H118. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H33 | zenon_intro zenon_H11b ]. % 0.81/1.03 apply (zenon_L23_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10e | zenon_intro zenon_H119 ]. % 0.81/1.03 apply (zenon_L133_); trivial. % 0.81/1.03 exact (zenon_H118 zenon_H119). % 0.81/1.03 (* end of lemma zenon_L168_ *) % 0.81/1.03 assert (zenon_L169_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a848)) -> (c2_1 (a848)) -> (~(c1_1 (a848))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H5f zenon_H11a zenon_H118 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H46 zenon_H48 zenon_H13 zenon_H15 zenon_H17. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.81/1.03 apply (zenon_L12_); trivial. % 0.81/1.03 apply (zenon_L168_); trivial. % 0.81/1.03 (* end of lemma zenon_L169_ *) % 0.81/1.03 assert (zenon_L170_ : (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(c2_1 (a856))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a856))) -> (c3_1 (a856)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H25 zenon_H1a zenon_H137 zenon_H16c zenon_H136 zenon_H138. % 0.81/1.03 generalize (zenon_H25 (a856)). zenon_intro zenon_H215. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H215); [ zenon_intro zenon_H19 | zenon_intro zenon_H216 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H142 | zenon_intro zenon_H217 ]. % 0.81/1.03 exact (zenon_H137 zenon_H142). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H141 | zenon_intro zenon_H143 ]. % 0.81/1.03 generalize (zenon_H16c (a856)). zenon_intro zenon_H218. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H218); [ zenon_intro zenon_H19 | zenon_intro zenon_H219 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H13c | zenon_intro zenon_H21a ]. % 0.81/1.03 exact (zenon_H141 zenon_H13c). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H140 | zenon_intro zenon_H143 ]. % 0.81/1.03 exact (zenon_H136 zenon_H140). % 0.81/1.03 exact (zenon_H143 zenon_H138). % 0.81/1.03 exact (zenon_H143 zenon_H138). % 0.81/1.03 (* end of lemma zenon_L170_ *) % 0.81/1.03 assert (zenon_L171_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a856)) -> (~(c1_1 (a856))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c2_1 (a856))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H1ef zenon_H1b zenon_H138 zenon_H136 zenon_H16c zenon_H137 zenon_H1a zenon_H15. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H10f | zenon_intro zenon_H1f0 ]. % 0.81/1.03 apply (zenon_L78_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H25 | zenon_intro zenon_H16 ]. % 0.81/1.03 apply (zenon_L170_); trivial. % 0.81/1.03 exact (zenon_H15 zenon_H16). % 0.81/1.03 (* end of lemma zenon_L171_ *) % 0.81/1.03 assert (zenon_L172_ : (~(hskp10)) -> (hskp10) -> False). % 0.81/1.03 do 0 intro. intros zenon_H21b zenon_H21c. % 0.81/1.03 exact (zenon_H21b zenon_H21c). % 0.81/1.03 (* end of lemma zenon_L172_ *) % 0.81/1.03 assert (zenon_L173_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp9)) -> (ndr1_0) -> (~(c2_1 (a856))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a856))) -> (c3_1 (a856)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H21d zenon_H15 zenon_H1a zenon_H137 zenon_H16c zenon_H136 zenon_H138 zenon_H1ef zenon_H21b zenon_Hd. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1b | zenon_intro zenon_H21e ]. % 0.81/1.03 apply (zenon_L171_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H21c | zenon_intro zenon_He ]. % 0.81/1.03 exact (zenon_H21b zenon_H21c). % 0.81/1.03 exact (zenon_Hd zenon_He). % 0.81/1.03 (* end of lemma zenon_L173_ *) % 0.81/1.03 assert (zenon_L174_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(c1_1 (a844))) -> (~(c3_1 (a844))) -> (c2_1 (a844)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H149 zenon_H177 zenon_H1ef zenon_H15 zenon_H21b zenon_Hd zenon_H21d zenon_H17b zenon_H17c zenon_H17d zenon_H6a zenon_H6b zenon_H7d zenon_H153 zenon_H189. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.81/1.03 apply (zenon_L94_); trivial. % 0.81/1.03 apply (zenon_L173_); trivial. % 0.81/1.03 (* end of lemma zenon_L174_ *) % 0.81/1.03 assert (zenon_L175_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> (~(hskp9)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp8)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H7e zenon_H79 zenon_H15 zenon_H6a zenon_H6b zenon_H21f zenon_H46. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H60 | zenon_intro zenon_H81 ]. % 0.81/1.03 apply (zenon_L30_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H73 | zenon_intro zenon_H47 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H60 | zenon_intro zenon_H1f0 ]. % 0.81/1.03 apply (zenon_L30_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H25 | zenon_intro zenon_H16 ]. % 0.81/1.03 apply (zenon_L32_); trivial. % 0.81/1.03 exact (zenon_H15 zenon_H16). % 0.81/1.03 exact (zenon_H46 zenon_H47). % 0.81/1.03 (* end of lemma zenon_L175_ *) % 0.81/1.03 assert (zenon_L176_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_Ha4 zenon_H78 zenon_Hfa zenon_He5 zenon_H20c zenon_H20b zenon_H20a zenon_H7a zenon_Hab zenon_Hc1 zenon_H17 zenon_H15 zenon_H4d zenon_H46 zenon_H48 zenon_H31 zenon_H59 zenon_H5f. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.81/1.03 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.81/1.03 apply (zenon_L29_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.81/1.03 apply (zenon_L52_); trivial. % 0.81/1.03 apply (zenon_L164_); trivial. % 0.81/1.03 (* end of lemma zenon_L176_ *) % 0.81/1.03 assert (zenon_L177_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a835))) -> (~(c1_1 (a835))) -> (c3_1 (a835)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H16c zenon_H1a zenon_H1a7 zenon_H220 zenon_H1a9. % 0.81/1.03 generalize (zenon_H16c (a835)). zenon_intro zenon_H221. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H221); [ zenon_intro zenon_H19 | zenon_intro zenon_H222 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ad | zenon_intro zenon_H223 ]. % 0.81/1.03 exact (zenon_H1a7 zenon_H1ad). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H224 | zenon_intro zenon_H1ae ]. % 0.81/1.03 exact (zenon_H220 zenon_H224). % 0.81/1.03 exact (zenon_H1ae zenon_H1a9). % 0.81/1.03 (* end of lemma zenon_L177_ *) % 0.81/1.03 assert (zenon_L178_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a835))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H225 zenon_H1a zenon_H1a7 zenon_H16c zenon_H1a9 zenon_H1a8. % 0.81/1.03 generalize (zenon_H225 (a835)). zenon_intro zenon_H226. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H226); [ zenon_intro zenon_H19 | zenon_intro zenon_H227 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1ad | zenon_intro zenon_H228 ]. % 0.81/1.03 exact (zenon_H1a7 zenon_H1ad). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H220 | zenon_intro zenon_H1af ]. % 0.81/1.03 apply (zenon_L177_); trivial. % 0.81/1.03 exact (zenon_H1af zenon_H1a8). % 0.81/1.03 (* end of lemma zenon_L178_ *) % 0.81/1.03 assert (zenon_L179_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c0_1 (a835))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> (ndr1_0) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H229 zenon_H1a8 zenon_H1a9 zenon_H16c zenon_H1a7 zenon_H138 zenon_H137 zenon_H136 zenon_H1a zenon_H6a zenon_H6b zenon_H7d. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.81/1.03 apply (zenon_L178_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.81/1.03 apply (zenon_L79_); trivial. % 0.81/1.03 apply (zenon_L83_); trivial. % 0.81/1.03 (* end of lemma zenon_L179_ *) % 0.81/1.03 assert (zenon_L180_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c1_1 (a844))) -> (~(c3_1 (a844))) -> (c2_1 (a844)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H149 zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H229 zenon_H17b zenon_H17c zenon_H17d zenon_H6a zenon_H6b zenon_H7d zenon_H153 zenon_H189. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.81/1.03 apply (zenon_L94_); trivial. % 0.81/1.03 apply (zenon_L179_); trivial. % 0.81/1.03 (* end of lemma zenon_L180_ *) % 0.81/1.03 assert (zenon_L181_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a835))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (c3_1 (a835)) -> False). % 0.81/1.03 do 0 intro. intros zenon_Hc3 zenon_H1a zenon_H1a7 zenon_H16c zenon_H1a9. % 0.81/1.03 generalize (zenon_Hc3 (a835)). zenon_intro zenon_H22b. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H22b); [ zenon_intro zenon_H19 | zenon_intro zenon_H22c ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H1ad | zenon_intro zenon_H22d ]. % 0.81/1.03 exact (zenon_H1a7 zenon_H1ad). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ae ]. % 0.81/1.03 apply (zenon_L177_); trivial. % 0.81/1.03 exact (zenon_H1ae zenon_H1a9). % 0.81/1.03 (* end of lemma zenon_L181_ *) % 0.81/1.03 assert (zenon_L182_ : ((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(c3_1 (a855))) -> (~(c1_1 (a855))) -> (~(c0_1 (a855))) -> False). % 0.81/1.03 do 0 intro. intros zenon_He4 zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H48 zenon_H46 zenon_H15 zenon_He5 zenon_H165 zenon_H164 zenon_H163. % 0.81/1.03 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.81/1.03 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.81/1.03 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.81/1.03 apply (zenon_L90_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He8 ]. % 0.81/1.03 apply (zenon_L181_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H16 ]. % 0.81/1.03 apply (zenon_L59_); trivial. % 0.81/1.03 exact (zenon_H15 zenon_H16). % 0.81/1.03 (* end of lemma zenon_L182_ *) % 0.81/1.03 assert (zenon_L183_ : ((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H176 zenon_Hfa zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H48 zenon_H46 zenon_H15 zenon_He5 zenon_H1dc zenon_H1de. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.81/1.03 apply (zenon_L131_); trivial. % 0.81/1.03 apply (zenon_L182_); trivial. % 0.81/1.03 (* end of lemma zenon_L183_ *) % 0.81/1.03 assert (zenon_L184_ : (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48)))))) -> (ndr1_0) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H17a zenon_H1a zenon_H22e zenon_H22f zenon_H230. % 0.81/1.03 generalize (zenon_H17a (a834)). zenon_intro zenon_H231. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H231); [ zenon_intro zenon_H19 | zenon_intro zenon_H232 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H234 | zenon_intro zenon_H233 ]. % 0.81/1.03 exact (zenon_H22e zenon_H234). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H236 | zenon_intro zenon_H235 ]. % 0.81/1.03 exact (zenon_H236 zenon_H22f). % 0.81/1.03 exact (zenon_H235 zenon_H230). % 0.81/1.03 (* end of lemma zenon_L184_ *) % 0.81/1.03 assert (zenon_L185_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H189 zenon_H230 zenon_H22f zenon_H22e zenon_H7d zenon_H6b zenon_H6a zenon_H1a zenon_H153. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H17a | zenon_intro zenon_H18a ]. % 0.81/1.03 apply (zenon_L184_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H14e | zenon_intro zenon_H154 ]. % 0.81/1.03 apply (zenon_L83_); trivial. % 0.81/1.03 exact (zenon_H153 zenon_H154). % 0.81/1.03 (* end of lemma zenon_L185_ *) % 0.81/1.03 assert (zenon_L186_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H237 zenon_Ha3 zenon_H7a zenon_Hab zenon_Hc1 zenon_H4d zenon_H31 zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H1a zenon_H18c zenon_Hfa zenon_He5 zenon_H15 zenon_H1dc zenon_H1de zenon_H155 zenon_H48 zenon_H46 zenon_H160 zenon_H59 zenon_H1da zenon_H5f zenon_H11a zenon_H17 zenon_H189 zenon_H21d zenon_H1ef zenon_H177 zenon_H14d zenon_H21f zenon_H79 zenon_H78 zenon_H1f3 zenon_H18f zenon_H83 zenon_H229 zenon_H1b9. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.03 apply (zenon_L163_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.81/1.03 apply (zenon_L166_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H1a. zenon_intro zenon_H18d. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H17d. zenon_intro zenon_H18e. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.81/1.03 apply (zenon_L167_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.81/1.03 apply (zenon_L169_); trivial. % 0.81/1.03 apply (zenon_L174_); trivial. % 0.81/1.03 apply (zenon_L165_); trivial. % 0.81/1.03 apply (zenon_L175_); trivial. % 0.81/1.03 apply (zenon_L176_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.03 apply (zenon_L163_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.81/1.03 apply (zenon_L166_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H1a. zenon_intro zenon_H18d. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H17d. zenon_intro zenon_H18e. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.81/1.03 apply (zenon_L167_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.81/1.03 apply (zenon_L169_); trivial. % 0.81/1.03 apply (zenon_L180_); trivial. % 0.81/1.03 apply (zenon_L183_); trivial. % 0.81/1.03 apply (zenon_L175_); trivial. % 0.81/1.03 apply (zenon_L176_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.81/1.03 apply (zenon_L163_); trivial. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.81/1.03 apply (zenon_L185_); trivial. % 0.81/1.03 apply (zenon_L165_); trivial. % 0.81/1.03 apply (zenon_L176_); trivial. % 0.81/1.03 (* end of lemma zenon_L186_ *) % 0.81/1.03 assert (zenon_L187_ : ((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp23)) -> (~(hskp3)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H58 zenon_Hed zenon_He9 zenon_Heb. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hef | zenon_intro zenon_Hee ]. % 0.81/1.03 generalize (zenon_Hef (a826)). zenon_intro zenon_H23b. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H23b); [ zenon_intro zenon_H19 | zenon_intro zenon_H23c ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H3c | zenon_intro zenon_H44 ]. % 0.81/1.03 exact (zenon_H3c zenon_H35). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H45 | zenon_intro zenon_H3b ]. % 0.81/1.03 exact (zenon_H45 zenon_H41). % 0.81/1.03 exact (zenon_H3b zenon_H36). % 0.81/1.03 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hea | zenon_intro zenon_Hec ]. % 0.81/1.03 exact (zenon_He9 zenon_Hea). % 0.81/1.03 exact (zenon_Heb zenon_Hec). % 0.81/1.03 (* end of lemma zenon_L187_ *) % 0.81/1.03 assert (zenon_L188_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> (~(hskp23)) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H5f zenon_Hed zenon_Heb zenon_He9 zenon_H13 zenon_H15 zenon_H17. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.81/1.03 apply (zenon_L12_); trivial. % 0.81/1.03 apply (zenon_L187_); trivial. % 0.81/1.03 (* end of lemma zenon_L188_ *) % 0.81/1.03 assert (zenon_L189_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp29)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a862)) -> (c0_1 (a862)) -> (~(c1_1 (a862))) -> (ndr1_0) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H4d zenon_H2f zenon_H31 zenon_H107 zenon_H106 zenon_H105 zenon_H1a zenon_H1d zenon_H2a zenon_H1e. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.81/1.03 apply (zenon_L18_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.81/1.03 apply (zenon_L67_); trivial. % 0.81/1.03 apply (zenon_L24_); trivial. % 0.81/1.03 (* end of lemma zenon_L189_ *) % 0.81/1.03 assert (zenon_L190_ : (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (~(c1_1 (a862))) -> (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (c3_1 (a862)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H10e zenon_H1a zenon_H105 zenon_H144 zenon_H107. % 0.81/1.03 generalize (zenon_H10e (a862)). zenon_intro zenon_H110. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H110); [ zenon_intro zenon_H19 | zenon_intro zenon_H111 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H10b | zenon_intro zenon_H112 ]. % 0.81/1.03 exact (zenon_H105 zenon_H10b). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H113 | zenon_intro zenon_H10c ]. % 0.81/1.03 generalize (zenon_H144 (a862)). zenon_intro zenon_H23d. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H23d); [ zenon_intro zenon_H19 | zenon_intro zenon_H23e ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H10b | zenon_intro zenon_H23f ]. % 0.81/1.03 exact (zenon_H105 zenon_H10b). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H117 | zenon_intro zenon_H10c ]. % 0.81/1.03 exact (zenon_H113 zenon_H117). % 0.81/1.03 exact (zenon_H10c zenon_H107). % 0.81/1.03 exact (zenon_H10c zenon_H107). % 0.81/1.03 (* end of lemma zenon_L190_ *) % 0.81/1.03 assert (zenon_L191_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c0_1 (a862)) -> (c3_1 (a862)) -> (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c1_1 (a862))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H11a zenon_H106 zenon_H107 zenon_H144 zenon_H105 zenon_H1a zenon_H118. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H33 | zenon_intro zenon_H11b ]. % 0.81/1.03 apply (zenon_L67_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10e | zenon_intro zenon_H119 ]. % 0.81/1.03 apply (zenon_L190_); trivial. % 0.81/1.03 exact (zenon_H118 zenon_H119). % 0.81/1.03 (* end of lemma zenon_L191_ *) % 0.81/1.03 assert (zenon_L192_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (c2_1 (a865)) -> (c3_1 (a865)) -> (c1_1 (a865)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H29 zenon_H1a zenon_H1a6 zenon_H50 zenon_H51 zenon_H4f. % 0.81/1.03 generalize (zenon_H29 (a865)). zenon_intro zenon_H157. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H157); [ zenon_intro zenon_H19 | zenon_intro zenon_H158 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ]. % 0.81/1.03 generalize (zenon_H1a6 (a865)). zenon_intro zenon_H240. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H240); [ zenon_intro zenon_H19 | zenon_intro zenon_H241 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H15d | zenon_intro zenon_H54 ]. % 0.81/1.03 exact (zenon_H15a zenon_H15d). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ]. % 0.81/1.03 exact (zenon_H57 zenon_H50). % 0.81/1.03 exact (zenon_H56 zenon_H51). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ]. % 0.81/1.03 exact (zenon_H55 zenon_H4f). % 0.81/1.03 exact (zenon_H56 zenon_H51). % 0.81/1.03 (* end of lemma zenon_L192_ *) % 0.81/1.03 assert (zenon_L193_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(hskp20)) -> (~(c1_1 (a862))) -> (c3_1 (a862)) -> (c0_1 (a862)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (ndr1_0) -> (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (c2_1 (a865)) -> (c3_1 (a865)) -> (c1_1 (a865)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H147 zenon_H118 zenon_H105 zenon_H107 zenon_H106 zenon_H11a zenon_H1a zenon_H1a6 zenon_H50 zenon_H51 zenon_H4f. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H10f | zenon_intro zenon_H148 ]. % 0.81/1.03 apply (zenon_L70_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H29 ]. % 0.81/1.03 apply (zenon_L191_); trivial. % 0.81/1.03 apply (zenon_L192_); trivial. % 0.81/1.03 (* end of lemma zenon_L193_ *) % 0.81/1.03 assert (zenon_L194_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (c0_1 (a826)) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48)))))) -> (c2_1 (a826)) -> (c3_1 (a826)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H29 zenon_H1a zenon_H35 zenon_H17a zenon_H41 zenon_H36. % 0.81/1.03 generalize (zenon_H29 (a826)). zenon_intro zenon_H3d. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H19 | zenon_intro zenon_H3e ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H3c | zenon_intro zenon_H3f ]. % 0.81/1.03 exact (zenon_H3c zenon_H35). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H34 | zenon_intro zenon_H3b ]. % 0.81/1.03 generalize (zenon_H17a (a826)). zenon_intro zenon_H242. % 0.81/1.03 apply (zenon_imply_s _ _ zenon_H242); [ zenon_intro zenon_H19 | zenon_intro zenon_H243 ]. % 0.81/1.03 exact (zenon_H19 zenon_H1a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H3a | zenon_intro zenon_H244 ]. % 0.81/1.03 exact (zenon_H34 zenon_H3a). % 0.81/1.03 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H3c | zenon_intro zenon_H45 ]. % 0.81/1.03 exact (zenon_H3c zenon_H35). % 0.81/1.03 exact (zenon_H45 zenon_H41). % 0.81/1.03 exact (zenon_H3b zenon_H36). % 0.81/1.03 (* end of lemma zenon_L194_ *) % 0.81/1.03 assert (zenon_L195_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(hskp20)) -> (~(c1_1 (a862))) -> (c3_1 (a862)) -> (c0_1 (a862)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (ndr1_0) -> (c0_1 (a826)) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48)))))) -> (c2_1 (a826)) -> (c3_1 (a826)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H147 zenon_H118 zenon_H105 zenon_H107 zenon_H106 zenon_H11a zenon_H1a zenon_H35 zenon_H17a zenon_H41 zenon_H36. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H10f | zenon_intro zenon_H148 ]. % 0.81/1.03 apply (zenon_L70_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H29 ]. % 0.81/1.03 apply (zenon_L191_); trivial. % 0.81/1.03 apply (zenon_L194_); trivial. % 0.81/1.03 (* end of lemma zenon_L195_ *) % 0.81/1.03 assert (zenon_L196_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (~(hskp20)) -> (~(c1_1 (a862))) -> (c0_1 (a862)) -> (c3_1 (a862)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (ndr1_0) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (c3_1 (a865)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H200 zenon_H1c0 zenon_H1bf zenon_Hc2 zenon_H118 zenon_H105 zenon_H106 zenon_H107 zenon_H11a zenon_H1a zenon_H4f zenon_H50 zenon_H51. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1fc | zenon_intro zenon_H201 ]. % 0.81/1.03 apply (zenon_L148_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H10f | zenon_intro zenon_H40 ]. % 0.81/1.03 apply (zenon_L70_); trivial. % 0.81/1.03 apply (zenon_L26_); trivial. % 0.81/1.03 (* end of lemma zenon_L196_ *) % 0.81/1.03 assert (zenon_L197_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a826)) -> (c2_1 (a826)) -> (c0_1 (a826)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(hskp20)) -> (~(c1_1 (a862))) -> (c0_1 (a862)) -> (c3_1 (a862)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H5c zenon_H1b7 zenon_H36 zenon_H41 zenon_H35 zenon_H147 zenon_H200 zenon_H1c0 zenon_H1bf zenon_H118 zenon_H105 zenon_H106 zenon_H107 zenon_H11a. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.81/1.03 apply (zenon_L193_); trivial. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.81/1.03 apply (zenon_L195_); trivial. % 0.81/1.03 apply (zenon_L196_); trivial. % 0.81/1.03 (* end of lemma zenon_L197_ *) % 0.81/1.03 assert (zenon_L198_ : ((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (~(c1_1 (a862))) -> (c0_1 (a862)) -> (c3_1 (a862)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H58 zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H11a zenon_H118 zenon_H147 zenon_H31 zenon_H2a zenon_H1e zenon_H1d zenon_H105 zenon_H106 zenon_H107 zenon_H4d. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.81/1.03 apply (zenon_L189_); trivial. % 0.81/1.03 apply (zenon_L197_); trivial. % 0.81/1.03 (* end of lemma zenon_L198_ *) % 0.81/1.03 assert (zenon_L199_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H11c zenon_H5f zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H11a zenon_H118 zenon_H147 zenon_H31 zenon_H2a zenon_H1e zenon_H1d zenon_H4d zenon_H13 zenon_H15 zenon_H17. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.81/1.03 apply (zenon_L12_); trivial. % 0.81/1.03 apply (zenon_L198_); trivial. % 0.81/1.03 (* end of lemma zenon_L199_ *) % 0.81/1.03 assert (zenon_L200_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H149 zenon_H122 zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H147 zenon_H17 zenon_H15 zenon_H13 zenon_Heb zenon_Hed zenon_H5f. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.81/1.03 apply (zenon_L188_); trivial. % 0.81/1.03 apply (zenon_L80_); trivial. % 0.81/1.03 (* end of lemma zenon_L200_ *) % 0.81/1.03 assert (zenon_L201_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H14d zenon_H5f zenon_Hed zenon_Heb zenon_H13 zenon_H15 zenon_H17 zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H31 zenon_H147 zenon_H11a zenon_H200 zenon_H1c0 zenon_H1bf zenon_H1b7 zenon_H59 zenon_H122. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.81/1.03 apply (zenon_L188_); trivial. % 0.81/1.03 apply (zenon_L199_); trivial. % 0.81/1.03 apply (zenon_L200_); trivial. % 0.81/1.03 (* end of lemma zenon_L201_ *) % 0.81/1.03 assert (zenon_L202_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp22)) -> (~(hskp1)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> False). % 0.81/1.03 do 0 intro. intros zenon_H11c zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H11a zenon_H118 zenon_H147 zenon_H31 zenon_H2a zenon_H1e zenon_H1d zenon_H4d zenon_Hd0 zenon_Hce zenon_Hcc zenon_H1c0 zenon_H1bf zenon_H1ff. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.81/1.03 apply (zenon_L150_); trivial. % 0.81/1.03 apply (zenon_L198_); trivial. % 0.81/1.03 (* end of lemma zenon_L202_ *) % 0.81/1.03 assert (zenon_L203_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (c1_1 (a854)) -> (~(c2_1 (a854))) -> (~(c0_1 (a854))) -> (ndr1_0) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H14c zenon_H11d zenon_Hfa zenon_Hf2 zenon_H1 zenon_H9 zenon_H7a zenon_H2a zenon_H1d zenon_H1e zenon_Hab zenon_H63 zenon_H62 zenon_H61 zenon_H1a zenon_Hed zenon_Heb zenon_Hc1 zenon_H1ff zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hd0 zenon_H4d zenon_H31 zenon_H147 zenon_H118 zenon_H11a zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.81/1.03 apply (zenon_L65_); trivial. % 0.81/1.03 apply (zenon_L202_); trivial. % 0.81/1.03 apply (zenon_L72_); trivial. % 0.81/1.03 (* end of lemma zenon_L203_ *) % 0.81/1.03 assert (zenon_L204_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(c0_1 (a854))) -> (~(c2_1 (a854))) -> (c1_1 (a854)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> False). % 0.81/1.03 do 0 intro. intros zenon_H149 zenon_H122 zenon_H4d zenon_H147 zenon_Hc1 zenon_Heb zenon_Hed zenon_H61 zenon_H62 zenon_H63 zenon_Hab zenon_H1e zenon_H1d zenon_H2a zenon_H7a zenon_H9 zenon_H1 zenon_Hf2 zenon_Hfa. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.81/1.03 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.81/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.81/1.03 apply (zenon_L65_); trivial. % 0.81/1.03 apply (zenon_L80_); trivial. % 0.81/1.03 (* end of lemma zenon_L204_ *) % 0.81/1.03 assert (zenon_L205_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.81/1.04 do 0 intro. intros zenon_H7e zenon_H14d zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H11a zenon_H147 zenon_H31 zenon_H4d zenon_Hd0 zenon_Hcc zenon_H1c0 zenon_H1bf zenon_H1ff zenon_Hc1 zenon_Heb zenon_Hed zenon_Hab zenon_H1e zenon_H1d zenon_H2a zenon_H7a zenon_H9 zenon_H1 zenon_Hf2 zenon_Hfa zenon_H11d zenon_H14c. % 0.81/1.04 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.81/1.04 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.81/1.04 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.81/1.04 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.81/1.04 apply (zenon_L203_); trivial. % 0.81/1.04 apply (zenon_L204_); trivial. % 0.81/1.04 (* end of lemma zenon_L205_ *) % 0.81/1.04 assert (zenon_L206_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.81/1.04 do 0 intro. intros zenon_H78 zenon_Hd0 zenon_Hcc zenon_H1ff zenon_Hc1 zenon_Hab zenon_H7a zenon_H9 zenon_H1 zenon_Hf2 zenon_Hfa zenon_H11d zenon_H14c zenon_H122 zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H11a zenon_H147 zenon_H31 zenon_H2a zenon_H1e zenon_H1d zenon_H4d zenon_H17 zenon_H15 zenon_Heb zenon_Hed zenon_H5f zenon_H14d. % 0.81/1.04 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.81/1.04 apply (zenon_L201_); trivial. % 0.81/1.04 apply (zenon_L205_); trivial. % 0.81/1.04 (* end of lemma zenon_L206_ *) % 0.81/1.04 assert (zenon_L207_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a854))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c1_1 (a854)) -> (~(c2_1 (a854))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp22)) -> False). % 0.81/1.04 do 0 intro. intros zenon_H7a zenon_H61 zenon_H6a zenon_H6b zenon_H7d zenon_Hd0 zenon_H63 zenon_H62 zenon_H1a zenon_Hcc zenon_Hce. % 0.81/1.04 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.81/1.04 apply (zenon_L30_); trivial. % 0.81/1.04 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.81/1.04 apply (zenon_L137_); trivial. % 0.81/1.04 apply (zenon_L140_); trivial. % 0.81/1.04 (* end of lemma zenon_L207_ *) % 0.81/1.04 assert (zenon_L208_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> False). % 0.81/1.04 do 0 intro. intros zenon_H245 zenon_H1a zenon_H246 zenon_H247 zenon_H248. % 0.81/1.04 generalize (zenon_H245 (a821)). zenon_intro zenon_H249. % 0.81/1.04 apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_H19 | zenon_intro zenon_H24a ]. % 0.81/1.04 exact (zenon_H19 zenon_H1a). % 0.81/1.04 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H24c | zenon_intro zenon_H24b ]. % 0.81/1.04 exact (zenon_H246 zenon_H24c). % 0.81/1.04 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H24e | zenon_intro zenon_H24d ]. % 0.81/1.04 exact (zenon_H247 zenon_H24e). % 0.81/1.04 exact (zenon_H24d zenon_H248). % 0.81/1.04 (* end of lemma zenon_L208_ *) % 0.81/1.04 assert (zenon_L209_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (~(c2_1 (a839))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.81/1.04 do 0 intro. intros zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1fc zenon_H1e zenon_H2a zenon_Hc3 zenon_H1d zenon_H1a zenon_He9. % 0.81/1.04 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H250 ]. % 0.81/1.04 apply (zenon_L148_); trivial. % 0.81/1.04 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H25 | zenon_intro zenon_Hea ]. % 0.81/1.04 apply (zenon_L108_); trivial. % 0.81/1.04 exact (zenon_He9 zenon_Hea). % 0.81/1.04 (* end of lemma zenon_L209_ *) % 0.81/1.04 assert (zenon_L210_ : (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> False). % 0.81/1.04 do 0 intro. intros zenon_Hd2 zenon_H1a zenon_H25 zenon_H6a zenon_H6b zenon_H7d. % 0.81/1.04 generalize (zenon_Hd2 (a842)). zenon_intro zenon_H251. % 0.81/1.04 apply (zenon_imply_s _ _ zenon_H251); [ zenon_intro zenon_H19 | zenon_intro zenon_H252 ]. % 0.81/1.04 exact (zenon_H19 zenon_H1a). % 0.81/1.04 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H6c | zenon_intro zenon_H151 ]. % 0.81/1.04 apply (zenon_L31_); trivial. % 0.81/1.04 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H72 | zenon_intro zenon_H152 ]. % 0.81/1.04 exact (zenon_H72 zenon_H6b). % 0.81/1.04 exact (zenon_H152 zenon_H7d). % 0.81/1.04 (* end of lemma zenon_L210_ *) % 0.81/1.04 assert (zenon_L211_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(hskp23)) -> False). % 0.81/1.04 do 0 intro. intros zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1fc zenon_H7d zenon_H6b zenon_H6a zenon_H1a zenon_Hd2 zenon_He9. % 0.81/1.04 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H250 ]. % 0.81/1.04 apply (zenon_L148_); trivial. % 0.81/1.04 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H25 | zenon_intro zenon_Hea ]. % 0.81/1.04 apply (zenon_L210_); trivial. % 0.81/1.04 exact (zenon_He9 zenon_Hea). % 0.81/1.04 (* end of lemma zenon_L211_ *) % 0.87/1.04 assert (zenon_L212_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1d zenon_H2a zenon_H1e zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1fc zenon_H7d zenon_H6b zenon_H6a zenon_H1a zenon_He9. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.87/1.04 apply (zenon_L208_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.87/1.04 apply (zenon_L209_); trivial. % 0.87/1.04 apply (zenon_L211_); trivial. % 0.87/1.04 (* end of lemma zenon_L212_ *) % 0.87/1.04 assert (zenon_L213_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c2_1 (a860))) -> (~(c1_1 (a860))) -> (~(c0_1 (a860))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp0)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H255 zenon_Hfe zenon_Hfd zenon_Hfc zenon_He9 zenon_H1a zenon_H6a zenon_H6b zenon_H7d zenon_H1bf zenon_H1c0 zenon_H24f zenon_H1e zenon_H2a zenon_H1d zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H1dc. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.87/1.04 apply (zenon_L66_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.87/1.04 apply (zenon_L212_); trivial. % 0.87/1.04 exact (zenon_H1dc zenon_H1dd). % 0.87/1.04 (* end of lemma zenon_L213_ *) % 0.87/1.04 assert (zenon_L214_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H121 zenon_H122 zenon_H11d zenon_Hcc zenon_H118 zenon_H11a zenon_H253 zenon_H6a zenon_H6b zenon_H7d zenon_H1bf zenon_H1c0 zenon_H1d zenon_H2a zenon_H1e zenon_H24f zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.04 apply (zenon_L213_); trivial. % 0.87/1.04 apply (zenon_L71_); trivial. % 0.87/1.04 (* end of lemma zenon_L214_ *) % 0.87/1.04 assert (zenon_L215_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (ndr1_0) -> (~(c0_1 (a854))) -> (~(c2_1 (a854))) -> (c1_1 (a854)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H14c zenon_H122 zenon_H11d zenon_H118 zenon_H11a zenon_H253 zenon_H1bf zenon_H1c0 zenon_H1d zenon_H2a zenon_H1e zenon_H24f zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H1a zenon_H61 zenon_H62 zenon_H63 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H7a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.04 apply (zenon_L207_); trivial. % 0.87/1.04 apply (zenon_L214_); trivial. % 0.87/1.04 (* end of lemma zenon_L215_ *) % 0.87/1.04 assert (zenon_L216_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hfb zenon_H1a zenon_H1be zenon_Hc2 zenon_H1bf zenon_H1c0. % 0.87/1.04 generalize (zenon_Hfb (a830)). zenon_intro zenon_H257. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H257); [ zenon_intro zenon_H19 | zenon_intro zenon_H258 ]. % 0.87/1.04 exact (zenon_H19 zenon_H1a). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H259 ]. % 0.87/1.04 exact (zenon_H1be zenon_H1c4). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1c6 ]. % 0.87/1.04 apply (zenon_L147_); trivial. % 0.87/1.04 exact (zenon_H1bf zenon_H1c6). % 0.87/1.04 (* end of lemma zenon_L216_ *) % 0.87/1.04 assert (zenon_L217_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp22)) -> (~(hskp1)) -> (ndr1_0) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp23)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1be zenon_Hfb zenon_Hce zenon_Hcc zenon_H1a zenon_H6a zenon_H6b zenon_H7d zenon_Hd0 zenon_He9. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H250 ]. % 0.87/1.04 apply (zenon_L216_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H25 | zenon_intro zenon_Hea ]. % 0.87/1.04 apply (zenon_L137_); trivial. % 0.87/1.04 exact (zenon_He9 zenon_Hea). % 0.87/1.04 (* end of lemma zenon_L217_ *) % 0.87/1.04 assert (zenon_L218_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(hskp22)) -> (~(c0_1 (a830))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp0)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H255 zenon_Hd0 zenon_Hcc zenon_Hce zenon_H1be zenon_He9 zenon_H1a zenon_H6a zenon_H6b zenon_H7d zenon_H1bf zenon_H1c0 zenon_H24f zenon_H1e zenon_H2a zenon_H1d zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H1dc. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.87/1.04 apply (zenon_L217_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.87/1.04 apply (zenon_L212_); trivial. % 0.87/1.04 exact (zenon_H1dc zenon_H1dd). % 0.87/1.04 (* end of lemma zenon_L218_ *) % 0.87/1.04 assert (zenon_L219_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H122 zenon_H4d zenon_H136 zenon_H137 zenon_H138 zenon_H147 zenon_H24f zenon_H6a zenon_H6b zenon_H7d zenon_Hcc zenon_Hce zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H253 zenon_H1d zenon_H2a zenon_H1e zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.04 apply (zenon_L218_); trivial. % 0.87/1.04 apply (zenon_L80_); trivial. % 0.87/1.04 (* end of lemma zenon_L219_ *) % 0.87/1.04 assert (zenon_L220_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H149 zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H1e zenon_H2a zenon_H1d zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H147 zenon_H4d zenon_H122. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.04 apply (zenon_L219_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.04 apply (zenon_L213_); trivial. % 0.87/1.04 apply (zenon_L80_); trivial. % 0.87/1.04 (* end of lemma zenon_L220_ *) % 0.87/1.04 assert (zenon_L221_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> (~(c0_1 (a830))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H7e zenon_H14d zenon_H1be zenon_H147 zenon_H4d zenon_H7a zenon_H6a zenon_H6b zenon_H7d zenon_Hcc zenon_Hd0 zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H24f zenon_H1e zenon_H2a zenon_H1d zenon_H1c0 zenon_H1bf zenon_H253 zenon_H11a zenon_H11d zenon_H122 zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.04 apply (zenon_L215_); trivial. % 0.87/1.04 apply (zenon_L220_); trivial. % 0.87/1.04 (* end of lemma zenon_L221_ *) % 0.87/1.04 assert (zenon_L222_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> (~(c0_1 (a830))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H77 zenon_H78 zenon_H1be zenon_H7a zenon_Hcc zenon_Hd0 zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H24f zenon_H253 zenon_H11d zenon_H14c zenon_H122 zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H11a zenon_H147 zenon_H31 zenon_H2a zenon_H1e zenon_H1d zenon_H4d zenon_H17 zenon_H15 zenon_Heb zenon_Hed zenon_H5f zenon_H14d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.87/1.04 apply (zenon_L201_); trivial. % 0.87/1.04 apply (zenon_L221_); trivial. % 0.87/1.04 (* end of lemma zenon_L222_ *) % 0.87/1.04 assert (zenon_L223_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> (~(hskp23)) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp27)\/(hskp6))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H5f zenon_Hed zenon_Heb zenon_He9 zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0 zenon_H9b zenon_H25a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H1bd | zenon_intro zenon_H25b ]. % 0.87/1.04 apply (zenon_L119_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H12 | zenon_intro zenon_H9c ]. % 0.87/1.04 exact (zenon_H11 zenon_H12). % 0.87/1.04 exact (zenon_H9b zenon_H9c). % 0.87/1.04 apply (zenon_L187_); trivial. % 0.87/1.04 (* end of lemma zenon_L223_ *) % 0.87/1.04 assert (zenon_L224_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp22)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H122 zenon_H59 zenon_H1b7 zenon_H200 zenon_H11a zenon_H118 zenon_H147 zenon_H31 zenon_H2a zenon_H1e zenon_H1d zenon_H4d zenon_Hd0 zenon_Hce zenon_Hcc zenon_H1ff zenon_H25a zenon_H9b zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_Heb zenon_Hed zenon_H5f. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.04 apply (zenon_L223_); trivial. % 0.87/1.04 apply (zenon_L202_); trivial. % 0.87/1.04 (* end of lemma zenon_L224_ *) % 0.87/1.04 assert (zenon_L225_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H121 zenon_H122 zenon_H11d zenon_Hcc zenon_H118 zenon_H11a zenon_H25a zenon_H9b zenon_H1c0 zenon_H1bf zenon_H1be zenon_Heb zenon_Hed zenon_H5f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.04 apply (zenon_L223_); trivial. % 0.87/1.04 apply (zenon_L71_); trivial. % 0.87/1.04 (* end of lemma zenon_L225_ *) % 0.87/1.04 assert (zenon_L226_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(hskp2)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H149 zenon_H25c zenon_H16f zenon_H16e zenon_H16d zenon_H19a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H16c | zenon_intro zenon_H25d ]. % 0.87/1.04 apply (zenon_L91_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H144 | zenon_intro zenon_H19b ]. % 0.87/1.04 apply (zenon_L79_); trivial. % 0.87/1.04 exact (zenon_H19a zenon_H19b). % 0.87/1.04 (* end of lemma zenon_L226_ *) % 0.87/1.04 assert (zenon_L227_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Ha4 zenon_H14d zenon_H25c zenon_H19a zenon_H16f zenon_H16e zenon_H16d zenon_H122 zenon_H59 zenon_H1b7 zenon_H200 zenon_H11a zenon_H147 zenon_H31 zenon_H4d zenon_Hd0 zenon_Hcc zenon_H1ff zenon_H25a zenon_H9b zenon_H1c0 zenon_H1bf zenon_H1be zenon_Heb zenon_Hed zenon_H5f zenon_H11d zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.04 apply (zenon_L224_); trivial. % 0.87/1.04 apply (zenon_L225_); trivial. % 0.87/1.04 apply (zenon_L226_); trivial. % 0.87/1.04 (* end of lemma zenon_L227_ *) % 0.87/1.04 assert (zenon_L228_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H225 zenon_H1a zenon_H25e zenon_H25f zenon_H260. % 0.87/1.04 generalize (zenon_H225 (a827)). zenon_intro zenon_H261. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H19 | zenon_intro zenon_H262 ]. % 0.87/1.04 exact (zenon_H19 zenon_H1a). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ]. % 0.87/1.04 exact (zenon_H25e zenon_H264). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H266 | zenon_intro zenon_H265 ]. % 0.87/1.04 exact (zenon_H266 zenon_H25f). % 0.87/1.04 exact (zenon_H265 zenon_H260). % 0.87/1.04 (* end of lemma zenon_L228_ *) % 0.87/1.04 assert (zenon_L229_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a839))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H14e zenon_H1a zenon_H1d zenon_H1b zenon_H1e zenon_H2a. % 0.87/1.04 generalize (zenon_H14e (a839)). zenon_intro zenon_H267. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H267); [ zenon_intro zenon_H19 | zenon_intro zenon_H268 ]. % 0.87/1.04 exact (zenon_H19 zenon_H1a). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H24 | zenon_intro zenon_H269 ]. % 0.87/1.04 exact (zenon_H1d zenon_H24). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.87/1.04 apply (zenon_L14_); trivial. % 0.87/1.04 exact (zenon_H2e zenon_H2a). % 0.87/1.04 (* end of lemma zenon_L229_ *) % 0.87/1.04 assert (zenon_L230_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H11c zenon_H4d zenon_H11a zenon_H118 zenon_H25e zenon_H25f zenon_H260 zenon_H229 zenon_H1d zenon_H2a zenon_H1e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.87/1.04 apply (zenon_L228_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.87/1.04 apply (zenon_L191_); trivial. % 0.87/1.04 apply (zenon_L229_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.87/1.04 apply (zenon_L67_); trivial. % 0.87/1.04 apply (zenon_L24_); trivial. % 0.87/1.04 (* end of lemma zenon_L230_ *) % 0.87/1.04 assert (zenon_L231_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp5)) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H122 zenon_H4d zenon_H25e zenon_H25f zenon_H260 zenon_H11a zenon_H118 zenon_H1d zenon_H1e zenon_H2a zenon_H229 zenon_H127 zenon_H3 zenon_H9 zenon_H1 zenon_Hf2 zenon_H135. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.04 apply (zenon_L77_); trivial. % 0.87/1.04 apply (zenon_L230_); trivial. % 0.87/1.04 (* end of lemma zenon_L231_ *) % 0.87/1.04 assert (zenon_L232_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (~(hskp14)) -> (~(hskp5)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H14d zenon_H147 zenon_H135 zenon_Hf2 zenon_H1 zenon_H9 zenon_H3 zenon_H127 zenon_H229 zenon_H2a zenon_H1e zenon_H1d zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H4d zenon_H122. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.04 apply (zenon_L231_); trivial. % 0.87/1.04 apply (zenon_L81_); trivial. % 0.87/1.04 (* end of lemma zenon_L232_ *) % 0.87/1.04 assert (zenon_L233_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H11c zenon_H229 zenon_H260 zenon_H25f zenon_H25e zenon_H118 zenon_H11a zenon_H6a zenon_H6b zenon_H7d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.87/1.04 apply (zenon_L228_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.87/1.04 apply (zenon_L191_); trivial. % 0.87/1.04 apply (zenon_L83_); trivial. % 0.87/1.04 (* end of lemma zenon_L233_ *) % 0.87/1.04 assert (zenon_L234_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H149 zenon_H229 zenon_H260 zenon_H25f zenon_H25e zenon_H6a zenon_H6b zenon_H7d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.87/1.04 apply (zenon_L228_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.87/1.04 apply (zenon_L79_); trivial. % 0.87/1.04 apply (zenon_L83_); trivial. % 0.87/1.04 (* end of lemma zenon_L234_ *) % 0.87/1.04 assert (zenon_L235_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H77 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H1d zenon_H2a zenon_H1e zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H4d zenon_H14c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.04 apply (zenon_L218_); trivial. % 0.87/1.04 apply (zenon_L233_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.04 apply (zenon_L213_); trivial. % 0.87/1.04 apply (zenon_L230_); trivial. % 0.87/1.04 apply (zenon_L234_); trivial. % 0.87/1.04 (* end of lemma zenon_L235_ *) % 0.87/1.04 assert (zenon_L236_ : ((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H202 zenon_Ha3 zenon_H83 zenon_H24f zenon_Hcc zenon_Hd0 zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c zenon_H122 zenon_H4d zenon_H25e zenon_H25f zenon_H260 zenon_H11a zenon_H229 zenon_H127 zenon_Hf2 zenon_H135 zenon_H147 zenon_H14d zenon_H1 zenon_H3 zenon_H7. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.04 apply (zenon_L4_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.04 apply (zenon_L232_); trivial. % 0.87/1.04 apply (zenon_L235_); trivial. % 0.87/1.04 (* end of lemma zenon_L236_ *) % 0.87/1.04 assert (zenon_L237_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp29)) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c0_1 (a818)) -> (c2_1 (a818)) -> (c1_1 (a818)) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H2f zenon_H2a zenon_H1e zenon_H1d zenon_H31 zenon_H48 zenon_Hd3 zenon_Hdf zenon_Hd4 zenon_H1a zenon_H46. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.87/1.04 apply (zenon_L208_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.87/1.04 apply (zenon_L110_); trivial. % 0.87/1.04 apply (zenon_L59_); trivial. % 0.87/1.04 (* end of lemma zenon_L237_ *) % 0.87/1.04 assert (zenon_L238_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c1_1 (a818)) -> (c0_1 (a818)) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c3_1 (a865)) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H48 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H51 zenon_H50 zenon_H4f zenon_H1a zenon_H46. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H29 | zenon_intro zenon_H49 ]. % 0.87/1.04 apply (zenon_L57_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.87/1.04 apply (zenon_L26_); trivial. % 0.87/1.04 exact (zenon_H46 zenon_H47). % 0.87/1.04 (* end of lemma zenon_L238_ *) % 0.87/1.04 assert (zenon_L239_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp22)) -> (~(hskp1)) -> (~(c2_1 (a854))) -> (~(c0_1 (a854))) -> (c1_1 (a854)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c1_1 (a818)) -> (c0_1 (a818)) -> (~(hskp8)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H5c zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_Hce zenon_Hcc zenon_H62 zenon_H61 zenon_H63 zenon_Hd0 zenon_H48 zenon_Hd4 zenon_Hd3 zenon_H46. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.87/1.04 apply (zenon_L208_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.87/1.04 apply (zenon_L56_); trivial. % 0.87/1.04 apply (zenon_L238_); trivial. % 0.87/1.04 (* end of lemma zenon_L239_ *) % 0.87/1.04 assert (zenon_L240_ : ((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(c2_1 (a854))) -> (~(c0_1 (a854))) -> (c1_1 (a854)) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_He4 zenon_H59 zenon_H62 zenon_H61 zenon_H63 zenon_Hcc zenon_Hce zenon_Hd0 zenon_H246 zenon_H247 zenon_H248 zenon_H31 zenon_H1e zenon_H2a zenon_H1d zenon_H48 zenon_H46 zenon_H253. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.87/1.04 apply (zenon_L237_); trivial. % 0.87/1.04 apply (zenon_L239_); trivial. % 0.87/1.04 (* end of lemma zenon_L240_ *) % 0.87/1.04 assert (zenon_L241_ : ((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H207 zenon_H206 zenon_H200 zenon_H1ff zenon_Ha3 zenon_Hc1 zenon_Hab zenon_H7a zenon_H31 zenon_H59 zenon_H1f3 zenon_H198 zenon_H5f zenon_H1d8 zenon_H48 zenon_H17 zenon_H1da zenon_Hfa zenon_H253 zenon_Hcc zenon_Hd0 zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H1de zenon_H11d zenon_H14c zenon_H18c zenon_H78 zenon_H1ef zenon_H83 zenon_H177 zenon_H155 zenon_H160 zenon_H189 zenon_H18f zenon_H203. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a. zenon_intro zenon_H208. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1cd. zenon_intro zenon_H209. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.87/1.04 apply (zenon_L128_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.04 apply (zenon_L129_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.87/1.04 apply (zenon_L131_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.87/1.04 apply (zenon_L208_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.87/1.04 apply (zenon_L56_); trivial. % 0.87/1.04 apply (zenon_L59_); trivial. % 0.87/1.04 apply (zenon_L132_); trivial. % 0.87/1.04 apply (zenon_L135_); trivial. % 0.87/1.04 apply (zenon_L138_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.87/1.04 apply (zenon_L128_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.87/1.04 apply (zenon_L142_); trivial. % 0.87/1.04 apply (zenon_L240_); trivial. % 0.87/1.04 apply (zenon_L132_); trivial. % 0.87/1.04 apply (zenon_L135_); trivial. % 0.87/1.04 apply (zenon_L138_); trivial. % 0.87/1.04 apply (zenon_L146_); trivial. % 0.87/1.04 apply (zenon_L156_); trivial. % 0.87/1.04 (* end of lemma zenon_L241_ *) % 0.87/1.04 assert (zenon_L242_ : ((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> False). % 0.87/1.04 do 0 intro. intros zenon_He4 zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H20c zenon_H20b zenon_H20a zenon_H48 zenon_H46. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.87/1.04 apply (zenon_L208_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.87/1.04 apply (zenon_L162_); trivial. % 0.87/1.04 apply (zenon_L59_); trivial. % 0.87/1.04 (* end of lemma zenon_L242_ *) % 0.87/1.04 assert (zenon_L243_ : ((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H176 zenon_Hfa zenon_H253 zenon_H46 zenon_H48 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H1de. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.87/1.04 apply (zenon_L131_); trivial. % 0.87/1.04 apply (zenon_L242_); trivial. % 0.87/1.04 (* end of lemma zenon_L243_ *) % 0.87/1.04 assert (zenon_L244_ : ((hskp28)\/((hskp24)\/(hskp20))) -> (~(hskp28)) -> (~(hskp24)) -> (~(hskp20)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H26a zenon_Ha9 zenon_H84 zenon_H118. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_Haa | zenon_intro zenon_H26b ]. % 0.87/1.04 exact (zenon_Ha9 zenon_Haa). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H85 | zenon_intro zenon_H119 ]. % 0.87/1.04 exact (zenon_H84 zenon_H85). % 0.87/1.04 exact (zenon_H118 zenon_H119). % 0.87/1.04 (* end of lemma zenon_L244_ *) % 0.87/1.04 assert (zenon_L245_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c3_1 (a833)) -> (c1_1 (a833)) -> (c0_1 (a833)) -> (~(hskp8)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H5c zenon_H48 zenon_Haf zenon_Hae zenon_Had zenon_H46. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H29 | zenon_intro zenon_H49 ]. % 0.87/1.04 apply (zenon_L47_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.87/1.04 apply (zenon_L26_); trivial. % 0.87/1.04 exact (zenon_H46 zenon_H47). % 0.87/1.04 (* end of lemma zenon_L245_ *) % 0.87/1.04 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hbe zenon_H59 zenon_H48 zenon_H46 zenon_H6a zenon_H6b zenon_H7d zenon_H153 zenon_H155. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H1a. zenon_intro zenon_Hbf. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Had. zenon_intro zenon_Hc0. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.87/1.04 apply (zenon_L85_); trivial. % 0.87/1.04 apply (zenon_L245_); trivial. % 0.87/1.04 (* end of lemma zenon_L246_ *) % 0.87/1.04 assert (zenon_L247_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> (~(hskp24)) -> (~(hskp20)) -> ((hskp28)\/((hskp24)\/(hskp20))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Hc1 zenon_H59 zenon_H48 zenon_H46 zenon_H6a zenon_H6b zenon_H7d zenon_H153 zenon_H155 zenon_H84 zenon_H118 zenon_H26a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hbe ]. % 0.87/1.04 apply (zenon_L244_); trivial. % 0.87/1.04 apply (zenon_L246_); trivial. % 0.87/1.04 (* end of lemma zenon_L247_ *) % 0.87/1.04 assert (zenon_L248_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> (c1_1 (a878)) -> (~(c3_1 (a878))) -> (~(c0_1 (a878))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H26c zenon_H8a zenon_H89 zenon_H88 zenon_H7d zenon_H6b zenon_H6a zenon_H1a zenon_Ha7. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H87 | zenon_intro zenon_H26d ]. % 0.87/1.04 apply (zenon_L37_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H14e | zenon_intro zenon_Ha8 ]. % 0.87/1.04 apply (zenon_L83_); trivial. % 0.87/1.04 exact (zenon_Ha7 zenon_Ha8). % 0.87/1.04 (* end of lemma zenon_L248_ *) % 0.87/1.04 assert (zenon_L249_ : ((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H9d zenon_Hfa zenon_H253 zenon_H46 zenon_H48 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H6a zenon_H6b zenon_H7d zenon_H26c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H8a. zenon_intro zenon_Ha0. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H88. zenon_intro zenon_H89. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.87/1.04 apply (zenon_L248_); trivial. % 0.87/1.04 apply (zenon_L242_); trivial. % 0.87/1.04 (* end of lemma zenon_L249_ *) % 0.87/1.04 assert (zenon_L250_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Ha2 zenon_Hfa zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H26c zenon_H26a zenon_H118 zenon_H155 zenon_H153 zenon_H7d zenon_H6b zenon_H6a zenon_H46 zenon_H48 zenon_H59 zenon_Hc1. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H84 | zenon_intro zenon_H9d ]. % 0.87/1.04 apply (zenon_L247_); trivial. % 0.87/1.04 apply (zenon_L249_); trivial. % 0.87/1.04 (* end of lemma zenon_L250_ *) % 0.87/1.04 assert (zenon_L251_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_Ha4 zenon_H78 zenon_Hfa zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H7a zenon_Hab zenon_Hc1 zenon_H17 zenon_H15 zenon_H4d zenon_H46 zenon_H48 zenon_H31 zenon_H59 zenon_H5f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.87/1.04 apply (zenon_L29_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.87/1.04 apply (zenon_L52_); trivial. % 0.87/1.04 apply (zenon_L242_); trivial. % 0.87/1.04 (* end of lemma zenon_L251_ *) % 0.87/1.04 assert (zenon_L252_ : (forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H40 zenon_H1a zenon_H16c zenon_H1a7 zenon_H1a9 zenon_H1a8. % 0.87/1.04 generalize (zenon_H40 (a835)). zenon_intro zenon_H26e. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H26e); [ zenon_intro zenon_H19 | zenon_intro zenon_H26f ]. % 0.87/1.04 exact (zenon_H19 zenon_H1a). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H220 | zenon_intro zenon_H1ac ]. % 0.87/1.04 apply (zenon_L177_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1af | zenon_intro zenon_H1ae ]. % 0.87/1.04 exact (zenon_H1af zenon_H1a8). % 0.87/1.04 exact (zenon_H1ae zenon_H1a9). % 0.87/1.04 (* end of lemma zenon_L252_ *) % 0.87/1.04 assert (zenon_L253_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c1_1 (a818)) -> (c0_1 (a818)) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c0_1 (a835))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H48 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H1a8 zenon_H1a9 zenon_H1a7 zenon_H16c zenon_H1a zenon_H46. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H29 | zenon_intro zenon_H49 ]. % 0.87/1.04 apply (zenon_L57_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.87/1.04 apply (zenon_L252_); trivial. % 0.87/1.04 exact (zenon_H46 zenon_H47). % 0.87/1.04 (* end of lemma zenon_L253_ *) % 0.87/1.04 assert (zenon_L254_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c1_1 (a818)) -> (c0_1 (a818)) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c0_1 (a835))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H48 zenon_Hd4 zenon_Hd3 zenon_H1a8 zenon_H1a9 zenon_H1a7 zenon_H16c zenon_H1a zenon_H46. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.87/1.04 apply (zenon_L208_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.87/1.04 apply (zenon_L181_); trivial. % 0.87/1.04 apply (zenon_L253_); trivial. % 0.87/1.04 (* end of lemma zenon_L254_ *) % 0.87/1.04 assert (zenon_L255_ : ((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a835)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H176 zenon_Hfa zenon_H177 zenon_H246 zenon_H247 zenon_H248 zenon_H1a7 zenon_H1a9 zenon_H48 zenon_H46 zenon_H1a8 zenon_H253 zenon_H1dc zenon_H1de. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.87/1.04 apply (zenon_L131_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.87/1.04 apply (zenon_L90_); trivial. % 0.87/1.04 apply (zenon_L254_); trivial. % 0.87/1.04 (* end of lemma zenon_L255_ *) % 0.87/1.04 assert (zenon_L256_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp15)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H18c zenon_Hfa zenon_H177 zenon_H246 zenon_H247 zenon_H248 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H253 zenon_H1dc zenon_H1de zenon_H155 zenon_H7d zenon_H6b zenon_H6a zenon_H1a zenon_H48 zenon_H46 zenon_H15e zenon_H160 zenon_H59. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.04 apply (zenon_L89_); trivial. % 0.87/1.04 apply (zenon_L255_); trivial. % 0.87/1.04 (* end of lemma zenon_L256_ *) % 0.87/1.04 assert (zenon_L257_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H77 zenon_H18c zenon_Hfa zenon_H253 zenon_H46 zenon_H48 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H1de zenon_H22e zenon_H22f zenon_H230 zenon_H189. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.04 apply (zenon_L185_); trivial. % 0.87/1.04 apply (zenon_L243_); trivial. % 0.87/1.04 (* end of lemma zenon_L257_ *) % 0.87/1.04 assert (zenon_L258_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H237 zenon_Ha3 zenon_H78 zenon_H7a zenon_Hab zenon_H17 zenon_H4d zenon_H31 zenon_H5f zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H1a zenon_H18c zenon_Hfa zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H1de zenon_H155 zenon_H48 zenon_H46 zenon_H160 zenon_H59 zenon_H14d zenon_H177 zenon_H1ef zenon_H15 zenon_H21d zenon_H189 zenon_Hc1 zenon_H26a zenon_H26c zenon_Ha2 zenon_H18f zenon_H83 zenon_H229 zenon_H1b9. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.04 apply (zenon_L163_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.04 apply (zenon_L89_); trivial. % 0.87/1.04 apply (zenon_L243_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H1a. zenon_intro zenon_H18d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H17d. zenon_intro zenon_H18e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.04 apply (zenon_L250_); trivial. % 0.87/1.04 apply (zenon_L174_); trivial. % 0.87/1.04 apply (zenon_L243_); trivial. % 0.87/1.04 apply (zenon_L251_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.04 apply (zenon_L163_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.87/1.04 apply (zenon_L256_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H1a. zenon_intro zenon_H18d. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H17d. zenon_intro zenon_H18e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.04 apply (zenon_L250_); trivial. % 0.87/1.04 apply (zenon_L180_); trivial. % 0.87/1.04 apply (zenon_L243_); trivial. % 0.87/1.04 apply (zenon_L251_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.04 apply (zenon_L163_); trivial. % 0.87/1.04 apply (zenon_L257_); trivial. % 0.87/1.04 apply (zenon_L251_); trivial. % 0.87/1.04 (* end of lemma zenon_L258_ *) % 0.87/1.04 assert (zenon_L259_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H20c zenon_H20b zenon_H20a zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1fc zenon_H7d zenon_H6b zenon_H6a zenon_H1a zenon_He9. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.87/1.04 apply (zenon_L208_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.87/1.04 apply (zenon_L162_); trivial. % 0.87/1.04 apply (zenon_L211_); trivial. % 0.87/1.04 (* end of lemma zenon_L259_ *) % 0.87/1.04 assert (zenon_L260_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(hskp22)) -> (~(c0_1 (a830))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp0)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H255 zenon_Hd0 zenon_Hcc zenon_Hce zenon_H1be zenon_He9 zenon_H1a zenon_H6a zenon_H6b zenon_H7d zenon_H1bf zenon_H1c0 zenon_H24f zenon_H20a zenon_H20b zenon_H20c zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H1dc. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.87/1.04 apply (zenon_L217_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.87/1.04 apply (zenon_L259_); trivial. % 0.87/1.04 exact (zenon_H1dc zenon_H1dd). % 0.87/1.04 (* end of lemma zenon_L260_ *) % 0.87/1.04 assert (zenon_L261_ : (~(hskp21)) -> (hskp21) -> False). % 0.87/1.04 do 0 intro. intros zenon_H270 zenon_H271. % 0.87/1.04 exact (zenon_H270 zenon_H271). % 0.87/1.04 (* end of lemma zenon_L261_ *) % 0.87/1.04 assert (zenon_L262_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp21)) -> (~(hskp13)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H11c zenon_H272 zenon_H270 zenon_H5. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H33 | zenon_intro zenon_H273 ]. % 0.87/1.04 apply (zenon_L67_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H271 | zenon_intro zenon_H6 ]. % 0.87/1.04 exact (zenon_H270 zenon_H271). % 0.87/1.04 exact (zenon_H5 zenon_H6). % 0.87/1.04 (* end of lemma zenon_L262_ *) % 0.87/1.04 assert (zenon_L263_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> (~(hskp21)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H122 zenon_H272 zenon_H5 zenon_H270 zenon_H24f zenon_H6a zenon_H6b zenon_H7d zenon_Hcc zenon_Hce zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.04 apply (zenon_L260_); trivial. % 0.87/1.04 apply (zenon_L262_); trivial. % 0.87/1.04 (* end of lemma zenon_L263_ *) % 0.87/1.04 assert (zenon_L264_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c2_1 (a860))) -> (~(c1_1 (a860))) -> (~(c0_1 (a860))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp0)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H255 zenon_Hfe zenon_Hfd zenon_Hfc zenon_He9 zenon_H1a zenon_H6a zenon_H6b zenon_H7d zenon_H1bf zenon_H1c0 zenon_H24f zenon_H20a zenon_H20b zenon_H20c zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H1dc. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.87/1.04 apply (zenon_L66_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.87/1.04 apply (zenon_L259_); trivial. % 0.87/1.04 exact (zenon_H1dc zenon_H1dd). % 0.87/1.04 (* end of lemma zenon_L264_ *) % 0.87/1.04 assert (zenon_L265_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp21)) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H270 zenon_H5 zenon_H272 zenon_H122. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.04 apply (zenon_L263_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.04 apply (zenon_L264_); trivial. % 0.87/1.04 apply (zenon_L262_); trivial. % 0.87/1.04 (* end of lemma zenon_L265_ *) % 0.87/1.04 assert (zenon_L266_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H1fc zenon_H1a zenon_Hd2 zenon_H274 zenon_H275 zenon_H276. % 0.87/1.04 generalize (zenon_H1fc (a857)). zenon_intro zenon_H277. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H277); [ zenon_intro zenon_H19 | zenon_intro zenon_H278 ]. % 0.87/1.04 exact (zenon_H19 zenon_H1a). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H27a | zenon_intro zenon_H279 ]. % 0.87/1.04 generalize (zenon_Hd2 (a857)). zenon_intro zenon_H27b. % 0.87/1.04 apply (zenon_imply_s _ _ zenon_H27b); [ zenon_intro zenon_H19 | zenon_intro zenon_H27c ]. % 0.87/1.04 exact (zenon_H19 zenon_H1a). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H27e | zenon_intro zenon_H27d ]. % 0.87/1.04 exact (zenon_H274 zenon_H27e). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H280 | zenon_intro zenon_H27f ]. % 0.87/1.04 exact (zenon_H280 zenon_H275). % 0.87/1.04 exact (zenon_H27f zenon_H27a). % 0.87/1.04 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H281 | zenon_intro zenon_H27e ]. % 0.87/1.04 exact (zenon_H276 zenon_H281). % 0.87/1.04 exact (zenon_H274 zenon_H27e). % 0.87/1.04 (* end of lemma zenon_L266_ *) % 0.87/1.04 assert (zenon_L267_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(c0_1 (a855))) -> (~(c1_1 (a855))) -> (~(c3_1 (a855))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H11c zenon_Hfa zenon_H253 zenon_H274 zenon_H275 zenon_H276 zenon_H11a zenon_H118 zenon_H200 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H163 zenon_H164 zenon_H165 zenon_H1dc zenon_H1de. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.87/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.87/1.04 apply (zenon_L131_); trivial. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.87/1.04 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.87/1.04 apply (zenon_L208_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.87/1.04 apply (zenon_L162_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1fc | zenon_intro zenon_H201 ]. % 0.87/1.04 apply (zenon_L266_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H10f | zenon_intro zenon_H40 ]. % 0.87/1.04 apply (zenon_L70_); trivial. % 0.87/1.04 apply (zenon_L58_); trivial. % 0.87/1.04 (* end of lemma zenon_L267_ *) % 0.87/1.04 assert (zenon_L268_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H20c zenon_H20b zenon_H20a zenon_H1fc zenon_H1a zenon_H274 zenon_H275 zenon_H276. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.87/1.04 apply (zenon_L208_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.87/1.04 apply (zenon_L162_); trivial. % 0.87/1.04 apply (zenon_L266_); trivial. % 0.87/1.04 (* end of lemma zenon_L268_ *) % 0.87/1.04 assert (zenon_L269_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c2_1 (a857))) -> (c0_1 (a857)) -> (~(c3_1 (a857))) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp0)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H121 zenon_H255 zenon_H276 zenon_H275 zenon_H274 zenon_H20a zenon_H20b zenon_H20c zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H1dc. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.87/1.04 apply (zenon_L66_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.87/1.04 apply (zenon_L268_); trivial. % 0.87/1.04 exact (zenon_H1dc zenon_H1dd). % 0.87/1.04 (* end of lemma zenon_L269_ *) % 0.87/1.04 assert (zenon_L270_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> (~(c3_1 (a855))) -> (~(c1_1 (a855))) -> (~(c0_1 (a855))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H282 zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H1de zenon_H165 zenon_H164 zenon_H163 zenon_H200 zenon_H118 zenon_H11a zenon_Hfa zenon_H122. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.04 apply (zenon_L260_); trivial. % 0.87/1.04 apply (zenon_L267_); trivial. % 0.87/1.04 apply (zenon_L269_); trivial. % 0.87/1.04 (* end of lemma zenon_L270_ *) % 0.87/1.04 assert (zenon_L271_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> (~(c3_1 (a855))) -> (~(c1_1 (a855))) -> (~(c0_1 (a855))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H285 zenon_H1de zenon_H165 zenon_H164 zenon_H163 zenon_H200 zenon_H118 zenon_H11a zenon_Hfa zenon_H122 zenon_H272 zenon_H5 zenon_H24f zenon_H6a zenon_H6b zenon_H7d zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.87/1.04 apply (zenon_L265_); trivial. % 0.87/1.04 apply (zenon_L270_); trivial. % 0.87/1.04 (* end of lemma zenon_L271_ *) % 0.87/1.04 assert (zenon_L272_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(c3_1 (a855))) -> (~(c1_1 (a855))) -> (~(c0_1 (a855))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H149 zenon_H177 zenon_H1ef zenon_H15 zenon_H21b zenon_Hd zenon_H21d zenon_H165 zenon_H164 zenon_H163. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.87/1.04 apply (zenon_L90_); trivial. % 0.87/1.04 apply (zenon_L173_); trivial. % 0.87/1.04 (* end of lemma zenon_L272_ *) % 0.87/1.04 assert (zenon_L273_ : ((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H176 zenon_H14d zenon_H177 zenon_H1ef zenon_H15 zenon_H21b zenon_Hd zenon_H21d zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H5 zenon_H272 zenon_H122 zenon_Hfa zenon_H11a zenon_H200 zenon_H1de zenon_H285. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.04 apply (zenon_L271_); trivial. % 0.87/1.04 apply (zenon_L272_); trivial. % 0.87/1.04 (* end of lemma zenon_L273_ *) % 0.87/1.04 assert (zenon_L274_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> (~(hskp13)) -> (~(hskp16)) -> ((hskp13)\/((hskp16)\/(hskp19))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H18c zenon_H14d zenon_H177 zenon_H1ef zenon_H15 zenon_H21b zenon_Hd zenon_H21d zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H272 zenon_H122 zenon_Hfa zenon_H11a zenon_H200 zenon_H1de zenon_H285 zenon_H5 zenon_H1d6 zenon_H1da. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.04 apply (zenon_L129_); trivial. % 0.87/1.04 apply (zenon_L273_); trivial. % 0.87/1.04 (* end of lemma zenon_L274_ *) % 0.87/1.04 assert (zenon_L275_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c3_1 (a848)) -> (c2_1 (a848)) -> (~(c1_1 (a848))) -> (~(hskp20)) -> False). % 0.87/1.04 do 0 intro. intros zenon_H11c zenon_H11a zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H118. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H33 | zenon_intro zenon_H11b ]. % 0.87/1.04 apply (zenon_L67_); trivial. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10e | zenon_intro zenon_H119 ]. % 0.87/1.04 apply (zenon_L133_); trivial. % 0.87/1.04 exact (zenon_H118 zenon_H119). % 0.87/1.04 (* end of lemma zenon_L275_ *) % 0.87/1.04 assert (zenon_L276_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a848)) -> (c2_1 (a848)) -> (~(c1_1 (a848))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H122 zenon_H11a zenon_H118 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H24f zenon_H6a zenon_H6b zenon_H7d zenon_Hcc zenon_Hce zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.04 apply (zenon_L260_); trivial. % 0.87/1.04 apply (zenon_L275_); trivial. % 0.87/1.04 (* end of lemma zenon_L276_ *) % 0.87/1.04 assert (zenon_L277_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c1_1 (a848))) -> (c2_1 (a848)) -> (c3_1 (a848)) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H282 zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H118 zenon_H11a zenon_H122. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.87/1.04 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.04 apply (zenon_L276_); trivial. % 0.87/1.04 apply (zenon_L269_); trivial. % 0.87/1.04 (* end of lemma zenon_L277_ *) % 0.87/1.04 assert (zenon_L278_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> (~(c1_1 (a848))) -> (c2_1 (a848)) -> (c3_1 (a848)) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.04 do 0 intro. intros zenon_H285 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H118 zenon_H11a zenon_H122 zenon_H272 zenon_H5 zenon_H24f zenon_H6a zenon_H6b zenon_H7d zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c. % 0.87/1.04 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.87/1.04 apply (zenon_L265_); trivial. % 0.87/1.04 apply (zenon_L277_); trivial. % 0.87/1.04 (* end of lemma zenon_L278_ *) % 0.87/1.04 assert (zenon_L279_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp2)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H149 zenon_H25c zenon_Hd zenon_H21b zenon_H1ef zenon_H15 zenon_H21d zenon_H19a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H16c | zenon_intro zenon_H25d ]. % 0.87/1.05 apply (zenon_L173_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H144 | zenon_intro zenon_H19b ]. % 0.87/1.05 apply (zenon_L79_); trivial. % 0.87/1.05 exact (zenon_H19a zenon_H19b). % 0.87/1.05 (* end of lemma zenon_L279_ *) % 0.87/1.05 assert (zenon_L280_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> (ndr1_0) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H83 zenon_H1f3 zenon_H25c zenon_H19a zenon_H1da zenon_H285 zenon_H1de zenon_H200 zenon_H11a zenon_Hfa zenon_H122 zenon_H272 zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c zenon_H21d zenon_Hd zenon_H21b zenon_H15 zenon_H1ef zenon_H177 zenon_H14d zenon_H18c zenon_H1a zenon_H20a zenon_H20b zenon_H20c zenon_H5 zenon_H213. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.05 apply (zenon_L163_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.87/1.05 apply (zenon_L274_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.05 apply (zenon_L278_); trivial. % 0.87/1.05 apply (zenon_L279_); trivial. % 0.87/1.05 (* end of lemma zenon_L280_ *) % 0.87/1.05 assert (zenon_L281_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H14c zenon_H11d zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H17 zenon_H15 zenon_H13 zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H31 zenon_H147 zenon_H118 zenon_H11a zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.05 apply (zenon_L260_); trivial. % 0.87/1.05 apply (zenon_L199_); trivial. % 0.87/1.05 apply (zenon_L214_); trivial. % 0.87/1.05 (* end of lemma zenon_L281_ *) % 0.87/1.05 assert (zenon_L282_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H122 zenon_H4d zenon_H136 zenon_H137 zenon_H138 zenon_H1d zenon_H1e zenon_H2a zenon_H147 zenon_H24f zenon_H6a zenon_H6b zenon_H7d zenon_Hcc zenon_Hce zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.05 apply (zenon_L260_); trivial. % 0.87/1.05 apply (zenon_L80_); trivial. % 0.87/1.05 (* end of lemma zenon_L282_ *) % 0.87/1.05 assert (zenon_L283_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H121 zenon_H122 zenon_H4d zenon_H136 zenon_H137 zenon_H138 zenon_H1d zenon_H1e zenon_H2a zenon_H147 zenon_H253 zenon_H1bf zenon_H1c0 zenon_H6a zenon_H6b zenon_H7d zenon_H24f zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.05 apply (zenon_L264_); trivial. % 0.87/1.05 apply (zenon_L80_); trivial. % 0.87/1.05 (* end of lemma zenon_L283_ *) % 0.87/1.05 assert (zenon_L284_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H149 zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H147 zenon_H2a zenon_H1e zenon_H1d zenon_H4d zenon_H122. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.05 apply (zenon_L282_); trivial. % 0.87/1.05 apply (zenon_L283_); trivial. % 0.87/1.05 (* end of lemma zenon_L284_ *) % 0.87/1.05 assert (zenon_L285_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c0_1 (a854))) -> (~(c2_1 (a854))) -> (c1_1 (a854)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H149 zenon_H14c zenon_H122 zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H147 zenon_H253 zenon_H1bf zenon_H1c0 zenon_H24f zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H61 zenon_H62 zenon_H63 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H7a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.05 apply (zenon_L207_); trivial. % 0.87/1.05 apply (zenon_L283_); trivial. % 0.87/1.05 (* end of lemma zenon_L285_ *) % 0.87/1.05 assert (zenon_L286_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H7e zenon_H14d zenon_H4d zenon_H147 zenon_H20c zenon_H20b zenon_H20a zenon_H7a zenon_H6a zenon_H6b zenon_H7d zenon_Hcc zenon_Hd0 zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H24f zenon_H1e zenon_H2a zenon_H1d zenon_H1c0 zenon_H1bf zenon_H253 zenon_H11a zenon_H11d zenon_H122 zenon_H14c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.05 apply (zenon_L215_); trivial. % 0.87/1.05 apply (zenon_L285_); trivial. % 0.87/1.05 (* end of lemma zenon_L286_ *) % 0.87/1.05 assert (zenon_L287_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H77 zenon_H78 zenon_H7a zenon_H14c zenon_H11d zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H24f zenon_H17 zenon_H15 zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H31 zenon_H147 zenon_H11a zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122 zenon_H14d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.05 apply (zenon_L281_); trivial. % 0.87/1.05 apply (zenon_L284_); trivial. % 0.87/1.05 apply (zenon_L286_); trivial. % 0.87/1.05 (* end of lemma zenon_L287_ *) % 0.87/1.05 assert (zenon_L288_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H78 zenon_H7a zenon_H14c zenon_H11d zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H24f zenon_H17 zenon_H15 zenon_H4d zenon_H31 zenon_H147 zenon_H11a zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122 zenon_H14d zenon_Hb zenon_Hd zenon_Hf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.05 apply (zenon_L8_); trivial. % 0.87/1.05 apply (zenon_L287_); trivial. % 0.87/1.05 (* end of lemma zenon_L288_ *) % 0.87/1.05 assert (zenon_L289_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c3_1 (a839)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13)))))) -> (~(c2_1 (a839))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1fc zenon_H1e zenon_H1b zenon_H1d zenon_H1a zenon_He9. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H250 ]. % 0.87/1.05 apply (zenon_L148_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H25 | zenon_intro zenon_Hea ]. % 0.87/1.05 apply (zenon_L15_); trivial. % 0.87/1.05 exact (zenon_He9 zenon_Hea). % 0.87/1.05 (* end of lemma zenon_L289_ *) % 0.87/1.05 assert (zenon_L290_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H21d zenon_He9 zenon_H1a zenon_H1d zenon_H1e zenon_H1fc zenon_H1bf zenon_H1c0 zenon_H24f zenon_H21b zenon_Hd. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1b | zenon_intro zenon_H21e ]. % 0.87/1.05 apply (zenon_L289_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H21c | zenon_intro zenon_He ]. % 0.87/1.05 exact (zenon_H21b zenon_H21c). % 0.87/1.05 exact (zenon_Hd zenon_He). % 0.87/1.05 (* end of lemma zenon_L290_ *) % 0.87/1.05 assert (zenon_L291_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (~(hskp1)) -> (~(hskp22)) -> (~(c0_1 (a830))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp0)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H255 zenon_Hd0 zenon_H7d zenon_H6b zenon_H6a zenon_Hcc zenon_Hce zenon_H1be zenon_Hd zenon_H21b zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1e zenon_H1d zenon_H1a zenon_He9 zenon_H21d zenon_H1dc. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.87/1.05 apply (zenon_L217_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.87/1.05 apply (zenon_L290_); trivial. % 0.87/1.05 exact (zenon_H1dc zenon_H1dd). % 0.87/1.05 (* end of lemma zenon_L291_ *) % 0.87/1.05 assert (zenon_L292_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c1_1 (a839)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H11a zenon_H118 zenon_H147 zenon_H31 zenon_H2a zenon_H4d zenon_H1ff zenon_H24f zenon_H6a zenon_H6b zenon_H7d zenon_Hcc zenon_Hce zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H21d zenon_Hd zenon_H21b zenon_H1d zenon_H1e zenon_H1dc zenon_H255. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.05 apply (zenon_L291_); trivial. % 0.87/1.05 apply (zenon_L202_); trivial. % 0.87/1.05 (* end of lemma zenon_L292_ *) % 0.87/1.05 assert (zenon_L293_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((hskp14)\/(hskp24)) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H14d zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H11a zenon_H147 zenon_H31 zenon_H4d zenon_H1ff zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H21d zenon_Hd zenon_H21b zenon_H1dc zenon_H255 zenon_H19a zenon_H19c zenon_H14c zenon_H86 zenon_H92 zenon_H93 zenon_H94 zenon_H9b zenon_H9e zenon_Ha2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.05 apply (zenon_L41_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.05 apply (zenon_L292_); trivial. % 0.87/1.05 apply (zenon_L100_); trivial. % 0.87/1.05 apply (zenon_L220_); trivial. % 0.87/1.05 (* end of lemma zenon_L293_ *) % 0.87/1.05 assert (zenon_L294_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((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))))))\/(hskp2))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H5f zenon_H59 zenon_H1b7 zenon_H147 zenon_H31 zenon_H4d zenon_H1ff zenon_H19c zenon_H86 zenon_H9b zenon_H9e zenon_Ha2 zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H18c zenon_H14d zenon_H177 zenon_H1ef zenon_H15 zenon_H21b zenon_Hd zenon_H21d zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H24f zenon_H272 zenon_H122 zenon_Hfa zenon_H11a zenon_H200 zenon_H1de zenon_H285 zenon_H1da zenon_H19a zenon_H25c zenon_H1f3 zenon_H83. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.05 apply (zenon_L280_); trivial. % 0.87/1.05 apply (zenon_L293_); trivial. % 0.87/1.05 (* end of lemma zenon_L294_ *) % 0.87/1.05 assert (zenon_L295_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a855))) -> (~(c1_1 (a855))) -> (~(c0_1 (a855))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H149 zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H6a zenon_H6b zenon_H7d zenon_H229 zenon_H165 zenon_H164 zenon_H163. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.87/1.05 apply (zenon_L90_); trivial. % 0.87/1.05 apply (zenon_L179_); trivial. % 0.87/1.05 (* end of lemma zenon_L295_ *) % 0.87/1.05 assert (zenon_L296_ : ((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H176 zenon_H14d zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H229 zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H5 zenon_H272 zenon_H122 zenon_Hfa zenon_H11a zenon_H200 zenon_H1de zenon_H285. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.05 apply (zenon_L271_); trivial. % 0.87/1.05 apply (zenon_L295_); trivial. % 0.87/1.05 (* end of lemma zenon_L296_ *) % 0.87/1.05 assert (zenon_L297_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> (~(hskp13)) -> (~(hskp16)) -> ((hskp13)\/((hskp16)\/(hskp19))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H18c zenon_H14d zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H229 zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H272 zenon_H122 zenon_Hfa zenon_H11a zenon_H200 zenon_H1de zenon_H285 zenon_H5 zenon_H1d6 zenon_H1da. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.05 apply (zenon_L129_); trivial. % 0.87/1.05 apply (zenon_L296_); trivial. % 0.87/1.05 (* end of lemma zenon_L297_ *) % 0.87/1.05 assert (zenon_L298_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp2)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H149 zenon_H25c zenon_H7d zenon_H6b zenon_H6a zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H229 zenon_H19a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H16c | zenon_intro zenon_H25d ]. % 0.87/1.05 apply (zenon_L179_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H144 | zenon_intro zenon_H19b ]. % 0.87/1.05 apply (zenon_L79_); trivial. % 0.87/1.05 exact (zenon_H19a zenon_H19b). % 0.87/1.05 (* end of lemma zenon_L298_ *) % 0.87/1.05 assert (zenon_L299_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c0_1 (a835))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> (ndr1_0) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H83 zenon_H1f3 zenon_H25c zenon_H19a zenon_H1da zenon_H285 zenon_H1de zenon_H200 zenon_H11a zenon_Hfa zenon_H122 zenon_H272 zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c zenon_H229 zenon_H1a8 zenon_H1a9 zenon_H1a7 zenon_H177 zenon_H14d zenon_H18c zenon_H1a zenon_H20a zenon_H20b zenon_H20c zenon_H5 zenon_H213. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.05 apply (zenon_L163_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.87/1.05 apply (zenon_L297_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.05 apply (zenon_L278_); trivial. % 0.87/1.05 apply (zenon_L298_); trivial. % 0.87/1.05 (* end of lemma zenon_L299_ *) % 0.87/1.05 assert (zenon_L300_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1be zenon_H24f zenon_H14d zenon_H5f zenon_Hed zenon_Heb zenon_H15 zenon_H17 zenon_H4d zenon_H31 zenon_H147 zenon_H11a zenon_H200 zenon_H1c0 zenon_H1bf zenon_H1b7 zenon_H59 zenon_H122 zenon_H14c zenon_H11d zenon_Hfa zenon_Hf2 zenon_H1 zenon_H7a zenon_Hab zenon_Hc1 zenon_H1ff zenon_Hcc zenon_Hd0 zenon_H78. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.05 apply (zenon_L206_); trivial. % 0.87/1.05 apply (zenon_L287_); trivial. % 0.87/1.05 (* end of lemma zenon_L300_ *) % 0.87/1.05 assert (zenon_L301_ : (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c0_1 (a825))) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1a6 zenon_H1a zenon_H20a zenon_H4a zenon_H20b zenon_H20c. % 0.87/1.05 generalize (zenon_H1a6 (a825)). zenon_intro zenon_H286. % 0.87/1.05 apply (zenon_imply_s _ _ zenon_H286); [ zenon_intro zenon_H19 | zenon_intro zenon_H287 ]. % 0.87/1.05 exact (zenon_H19 zenon_H1a). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H210 | zenon_intro zenon_H288 ]. % 0.87/1.05 exact (zenon_H20a zenon_H210). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H289 | zenon_intro zenon_H211 ]. % 0.87/1.05 generalize (zenon_H4a (a825)). zenon_intro zenon_H28a. % 0.87/1.05 apply (zenon_imply_s _ _ zenon_H28a); [ zenon_intro zenon_H19 | zenon_intro zenon_H28b ]. % 0.87/1.05 exact (zenon_H19 zenon_H1a). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H28c | zenon_intro zenon_H20f ]. % 0.87/1.05 exact (zenon_H289 zenon_H28c). % 0.87/1.05 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H212 | zenon_intro zenon_H211 ]. % 0.87/1.05 exact (zenon_H212 zenon_H20b). % 0.87/1.05 exact (zenon_H211 zenon_H20c). % 0.87/1.05 exact (zenon_H211 zenon_H20c). % 0.87/1.05 (* end of lemma zenon_L301_ *) % 0.87/1.05 assert (zenon_L302_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (~(c0_1 (a825))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1b7 zenon_H20c zenon_H20b zenon_H4a zenon_H20a zenon_H230 zenon_H22f zenon_H22e zenon_Hfb zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.87/1.05 apply (zenon_L301_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.87/1.05 apply (zenon_L184_); trivial. % 0.87/1.05 apply (zenon_L216_); trivial. % 0.87/1.05 (* end of lemma zenon_L302_ *) % 0.87/1.05 assert (zenon_L303_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp9)) -> (~(c2_1 (a856))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a856))) -> (c3_1 (a856)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c3_1 (a862)) -> (c0_1 (a862)) -> (~(c1_1 (a862))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H4d zenon_H15 zenon_H137 zenon_H16c zenon_H136 zenon_H138 zenon_H1ef zenon_H107 zenon_H106 zenon_H105 zenon_H1b7 zenon_H20c zenon_H20b zenon_H20a zenon_H230 zenon_H22f zenon_H22e zenon_Hfb zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.87/1.05 apply (zenon_L171_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.87/1.05 apply (zenon_L67_); trivial. % 0.87/1.05 apply (zenon_L302_); trivial. % 0.87/1.05 (* end of lemma zenon_L303_ *) % 0.87/1.05 assert (zenon_L304_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> (~(c1_1 (a862))) -> (c0_1 (a862)) -> (c3_1 (a862)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a855))) -> (~(c1_1 (a855))) -> (~(c0_1 (a855))) -> (ndr1_0) -> False). % 0.87/1.05 do 0 intro. intros zenon_H177 zenon_H1ef zenon_H15 zenon_H138 zenon_H137 zenon_H136 zenon_H105 zenon_H106 zenon_H107 zenon_H1b7 zenon_H1c0 zenon_H1bf zenon_H1be zenon_Hfb zenon_H230 zenon_H22f zenon_H22e zenon_H20c zenon_H20b zenon_H20a zenon_H4d zenon_H165 zenon_H164 zenon_H163 zenon_H1a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.87/1.05 apply (zenon_L90_); trivial. % 0.87/1.05 apply (zenon_L303_); trivial. % 0.87/1.05 (* end of lemma zenon_L304_ *) % 0.87/1.05 assert (zenon_L305_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (~(c0_1 (a825))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1b7 zenon_H20c zenon_H20b zenon_H4a zenon_H20a zenon_H230 zenon_H22f zenon_H22e zenon_H1fc zenon_H1a zenon_H1bf zenon_H1c0. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.87/1.05 apply (zenon_L301_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.87/1.05 apply (zenon_L184_); trivial. % 0.87/1.05 apply (zenon_L148_); trivial. % 0.87/1.05 (* end of lemma zenon_L305_ *) % 0.87/1.05 assert (zenon_L306_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp9)) -> (~(c2_1 (a856))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a856))) -> (c3_1 (a856)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c3_1 (a862)) -> (c0_1 (a862)) -> (~(c1_1 (a862))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H4d zenon_H15 zenon_H137 zenon_H16c zenon_H136 zenon_H138 zenon_H1ef zenon_H107 zenon_H106 zenon_H105 zenon_H1b7 zenon_H20c zenon_H20b zenon_H20a zenon_H230 zenon_H22f zenon_H22e zenon_H1fc zenon_H1a zenon_H1bf zenon_H1c0. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.87/1.05 apply (zenon_L171_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.87/1.05 apply (zenon_L67_); trivial. % 0.87/1.05 apply (zenon_L305_); trivial. % 0.87/1.05 (* end of lemma zenon_L306_ *) % 0.87/1.05 assert (zenon_L307_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c0_1 (a830))) -> (~(c0_1 (a855))) -> (~(c1_1 (a855))) -> (~(c3_1 (a855))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(hskp0)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H11c zenon_H255 zenon_H1be zenon_H163 zenon_H164 zenon_H165 zenon_H4d zenon_H20a zenon_H20b zenon_H20c zenon_H22e zenon_H22f zenon_H230 zenon_H1bf zenon_H1c0 zenon_H1b7 zenon_H136 zenon_H137 zenon_H138 zenon_H15 zenon_H1ef zenon_H177 zenon_H1dc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.87/1.05 apply (zenon_L304_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.87/1.05 apply (zenon_L90_); trivial. % 0.87/1.05 apply (zenon_L306_); trivial. % 0.87/1.05 exact (zenon_H1dc zenon_H1dd). % 0.87/1.05 (* end of lemma zenon_L307_ *) % 0.87/1.05 assert (zenon_L308_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a855))) -> (~(c1_1 (a855))) -> (~(c0_1 (a855))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H149 zenon_H285 zenon_H177 zenon_H1ef zenon_H15 zenon_H1b7 zenon_H230 zenon_H22f zenon_H22e zenon_H4d zenon_H165 zenon_H164 zenon_H163 zenon_H122 zenon_H272 zenon_H5 zenon_H24f zenon_H6a zenon_H6b zenon_H7d zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.87/1.05 apply (zenon_L265_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.05 apply (zenon_L260_); trivial. % 0.87/1.05 apply (zenon_L307_); trivial. % 0.87/1.05 apply (zenon_L269_); trivial. % 0.87/1.05 (* end of lemma zenon_L308_ *) % 0.87/1.05 assert (zenon_L309_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> (ndr1_0) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H83 zenon_H1f3 zenon_H189 zenon_H1da zenon_H285 zenon_H1de zenon_H200 zenon_H11a zenon_Hfa zenon_H122 zenon_H272 zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c zenon_H4d zenon_H22e zenon_H22f zenon_H230 zenon_H1b7 zenon_H15 zenon_H1ef zenon_H177 zenon_H14d zenon_H18c zenon_H1a zenon_H20a zenon_H20b zenon_H20c zenon_H5 zenon_H213. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.05 apply (zenon_L163_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.05 apply (zenon_L129_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.05 apply (zenon_L271_); trivial. % 0.87/1.05 apply (zenon_L308_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.05 apply (zenon_L185_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.05 apply (zenon_L278_); trivial. % 0.87/1.05 apply (zenon_L308_); trivial. % 0.87/1.05 (* end of lemma zenon_L309_ *) % 0.87/1.05 assert (zenon_L310_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(hskp20)) -> (~(c1_1 (a862))) -> (c0_1 (a862)) -> (c3_1 (a862)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H5c zenon_H1b7 zenon_H147 zenon_H230 zenon_H22f zenon_H22e zenon_H200 zenon_H1c0 zenon_H1bf zenon_H118 zenon_H105 zenon_H106 zenon_H107 zenon_H11a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.87/1.05 apply (zenon_L193_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.87/1.05 apply (zenon_L184_); trivial. % 0.87/1.05 apply (zenon_L196_); trivial. % 0.87/1.05 (* end of lemma zenon_L310_ *) % 0.87/1.05 assert (zenon_L311_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H122 zenon_H59 zenon_H1b7 zenon_H200 zenon_H230 zenon_H22f zenon_H22e zenon_H11a zenon_H118 zenon_H147 zenon_H31 zenon_H4d zenon_H24f zenon_H6a zenon_H6b zenon_H7d zenon_Hcc zenon_Hce zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H253 zenon_H1d zenon_H2a zenon_H1e zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.05 apply (zenon_L218_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.87/1.05 apply (zenon_L189_); trivial. % 0.87/1.05 apply (zenon_L310_); trivial. % 0.87/1.05 (* end of lemma zenon_L311_ *) % 0.87/1.05 assert (zenon_L312_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H14c zenon_H11d zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H1e zenon_H2a zenon_H1d zenon_H253 zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H4d zenon_H31 zenon_H147 zenon_H118 zenon_H11a zenon_H22e zenon_H22f zenon_H230 zenon_H200 zenon_H1b7 zenon_H59 zenon_H122. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.05 apply (zenon_L311_); trivial. % 0.87/1.05 apply (zenon_L214_); trivial. % 0.87/1.05 (* end of lemma zenon_L312_ *) % 0.87/1.05 assert (zenon_L313_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H77 zenon_H14d zenon_H20a zenon_H20b zenon_H20c zenon_H122 zenon_H59 zenon_H1b7 zenon_H200 zenon_H230 zenon_H22f zenon_H22e zenon_H11a zenon_H147 zenon_H31 zenon_H4d zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H1d zenon_H2a zenon_H1e zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H11d zenon_H14c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.05 apply (zenon_L312_); trivial. % 0.87/1.05 apply (zenon_L284_); trivial. % 0.87/1.05 (* end of lemma zenon_L313_ *) % 0.87/1.05 assert (zenon_L314_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((hskp14)\/(hskp24)) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H14d zenon_H20a zenon_H20b zenon_H20c zenon_H122 zenon_H59 zenon_H1b7 zenon_H200 zenon_H230 zenon_H22f zenon_H22e zenon_H11a zenon_H147 zenon_H31 zenon_H4d zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H11d zenon_H14c zenon_H86 zenon_H92 zenon_H93 zenon_H94 zenon_H9b zenon_H9e zenon_Ha2. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.05 apply (zenon_L41_); trivial. % 0.87/1.05 apply (zenon_L313_); trivial. % 0.87/1.05 (* end of lemma zenon_L314_ *) % 0.87/1.05 assert (zenon_L315_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H230 zenon_H22f zenon_H22e zenon_Hfb zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.87/1.05 apply (zenon_L112_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.87/1.05 apply (zenon_L184_); trivial. % 0.87/1.05 apply (zenon_L216_); trivial. % 0.87/1.05 (* end of lemma zenon_L315_ *) % 0.87/1.05 assert (zenon_L316_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H230 zenon_H22f zenon_H22e zenon_H1fc zenon_H1a zenon_H1bf zenon_H1c0. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.87/1.05 apply (zenon_L112_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.87/1.05 apply (zenon_L184_); trivial. % 0.87/1.05 apply (zenon_L148_); trivial. % 0.87/1.05 (* end of lemma zenon_L316_ *) % 0.87/1.05 assert (zenon_L317_ : ((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c0_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp0)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1ba zenon_H255 zenon_H1be zenon_H1c0 zenon_H1bf zenon_H22e zenon_H22f zenon_H230 zenon_H1b7 zenon_H1dc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.87/1.05 apply (zenon_L315_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.87/1.05 apply (zenon_L316_); trivial. % 0.87/1.05 exact (zenon_H1dc zenon_H1dd). % 0.87/1.05 (* end of lemma zenon_L317_ *) % 0.87/1.05 assert (zenon_L318_ : ((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp14)\/(hskp24)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H238 zenon_H1b9 zenon_Ha3 zenon_H59 zenon_H147 zenon_H31 zenon_H11d zenon_Hf zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H18c zenon_H14d zenon_H177 zenon_H1ef zenon_H15 zenon_H1b7 zenon_H4d zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H24f zenon_H272 zenon_H122 zenon_Hfa zenon_H11a zenon_H200 zenon_H1de zenon_H285 zenon_H1da zenon_H189 zenon_H1f3 zenon_H83 zenon_Ha2 zenon_H9e zenon_H9b zenon_H86 zenon_H1a1. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.05 apply (zenon_L309_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.05 apply (zenon_L8_); trivial. % 0.87/1.05 apply (zenon_L313_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.05 apply (zenon_L309_); trivial. % 0.87/1.05 apply (zenon_L314_); trivial. % 0.87/1.05 apply (zenon_L317_); trivial. % 0.87/1.05 (* end of lemma zenon_L318_ *) % 0.87/1.05 assert (zenon_L319_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(hskp13)) -> (~(hskp16)) -> ((hskp13)\/((hskp16)\/(hskp19))) -> False). % 0.87/1.05 do 0 intro. intros zenon_H18c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H5 zenon_H1d6 zenon_H1da. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.05 apply (zenon_L129_); trivial. % 0.87/1.05 apply (zenon_L92_); trivial. % 0.87/1.05 (* end of lemma zenon_L319_ *) % 0.87/1.05 assert (zenon_L320_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> False). % 0.87/1.05 do 0 intro. intros zenon_H1ff zenon_H11 zenon_H1c0 zenon_H1bf zenon_Hc2 zenon_H1a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H1fc | zenon_intro zenon_H12 ]. % 0.87/1.05 apply (zenon_L148_); trivial. % 0.87/1.05 exact (zenon_H11 zenon_H12). % 0.87/1.05 (* end of lemma zenon_L320_ *) % 0.87/1.05 assert (zenon_L321_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp27)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15)))))) -> (~(hskp23)) -> False). % 0.87/1.05 do 0 intro. intros zenon_H24f zenon_H1bf zenon_H1c0 zenon_H11 zenon_H1ff zenon_H6b zenon_H6a zenon_H1a zenon_H73 zenon_He9. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H250 ]. % 0.87/1.05 apply (zenon_L320_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H25 | zenon_intro zenon_Hea ]. % 0.87/1.05 apply (zenon_L32_); trivial. % 0.87/1.05 exact (zenon_He9 zenon_Hea). % 0.87/1.05 (* end of lemma zenon_L321_ *) % 0.87/1.05 assert (zenon_L322_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp24)) -> (~(hskp20)) -> ((hskp28)\/((hskp24)\/(hskp20))) -> False). % 0.87/1.05 do 0 intro. intros zenon_Hc1 zenon_H28d zenon_H15e zenon_H1ff zenon_H11 zenon_H1c0 zenon_H1bf zenon_H6a zenon_H6b zenon_He9 zenon_H24f zenon_H84 zenon_H118 zenon_H26a. % 0.87/1.05 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hbe ]. % 0.87/1.05 apply (zenon_L244_); trivial. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H1a. zenon_intro zenon_Hbf. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Had. zenon_intro zenon_Hc0. % 0.87/1.05 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H73 | zenon_intro zenon_H28e ]. % 0.87/1.05 apply (zenon_L321_); trivial. % 0.87/1.05 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H29 | zenon_intro zenon_H15f ]. % 0.87/1.05 apply (zenon_L47_); trivial. % 0.87/1.05 exact (zenon_H15e zenon_H15f). % 0.87/1.05 (* end of lemma zenon_L322_ *) % 0.87/1.05 assert (zenon_L323_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H162 zenon_H1a zenon_H1be zenon_Hc2 zenon_H1bf zenon_H1c0. % 0.87/1.06 generalize (zenon_H162 (a830)). zenon_intro zenon_H28f. % 0.87/1.06 apply (zenon_imply_s _ _ zenon_H28f); [ zenon_intro zenon_H19 | zenon_intro zenon_H290 ]. % 0.87/1.06 exact (zenon_H19 zenon_H1a). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H291 ]. % 0.87/1.06 exact (zenon_H1be zenon_H1c4). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1c5 ]. % 0.87/1.06 apply (zenon_L147_); trivial. % 0.87/1.06 exact (zenon_H1c0 zenon_H1c5). % 0.87/1.06 (* end of lemma zenon_L323_ *) % 0.87/1.06 assert (zenon_L324_ : ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (c0_1 (a842)) -> (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (~(c2_1 (a842))) -> (c3_1 (a826)) -> (c2_1 (a826)) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48)))))) -> (c0_1 (a826)) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H28d zenon_H6b zenon_H25 zenon_H6a zenon_H36 zenon_H41 zenon_H17a zenon_H35 zenon_H1a zenon_H15e. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H73 | zenon_intro zenon_H28e ]. % 0.87/1.06 apply (zenon_L32_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H29 | zenon_intro zenon_H15f ]. % 0.87/1.06 apply (zenon_L194_); trivial. % 0.87/1.06 exact (zenon_H15e zenon_H15f). % 0.87/1.06 (* end of lemma zenon_L324_ *) % 0.87/1.06 assert (zenon_L325_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(hskp15)) -> (ndr1_0) -> (c0_1 (a826)) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48)))))) -> (c2_1 (a826)) -> (c3_1 (a826)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp23)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1be zenon_H162 zenon_H15e zenon_H1a zenon_H35 zenon_H17a zenon_H41 zenon_H36 zenon_H6a zenon_H6b zenon_H28d zenon_He9. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H250 ]. % 0.87/1.06 apply (zenon_L323_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H25 | zenon_intro zenon_Hea ]. % 0.87/1.06 apply (zenon_L324_); trivial. % 0.87/1.06 exact (zenon_He9 zenon_Hea). % 0.87/1.06 (* end of lemma zenon_L325_ *) % 0.87/1.06 assert (zenon_L326_ : ((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp23)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (~(hskp15)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (c1_1 (a842)) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H58 zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H24f zenon_He9 zenon_H6a zenon_H6b zenon_H15e zenon_H28d zenon_H1c0 zenon_H1bf zenon_H1be zenon_H7d zenon_H153 zenon_H189. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H17a | zenon_intro zenon_H18a ]. % 0.87/1.06 apply (zenon_L325_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H14e | zenon_intro zenon_H154 ]. % 0.87/1.06 apply (zenon_L83_); trivial. % 0.87/1.06 exact (zenon_H153 zenon_H154). % 0.87/1.06 apply (zenon_L91_); trivial. % 0.87/1.06 (* end of lemma zenon_L326_ *) % 0.87/1.06 assert (zenon_L327_ : ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp23)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c1_1 (a818)) -> (c0_1 (a818)) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(hskp15)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H28d zenon_He9 zenon_H6a zenon_H6b zenon_H1ff zenon_H11 zenon_H1c0 zenon_H1bf zenon_H24f zenon_Hd4 zenon_Hd3 zenon_H1a zenon_Hd2 zenon_H15e. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H73 | zenon_intro zenon_H28e ]. % 0.87/1.06 apply (zenon_L321_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H29 | zenon_intro zenon_H15f ]. % 0.87/1.06 apply (zenon_L57_); trivial. % 0.87/1.06 exact (zenon_H15e zenon_H15f). % 0.87/1.06 (* end of lemma zenon_L327_ *) % 0.87/1.06 assert (zenon_L328_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp23)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c1_1 (a818)) -> (c0_1 (a818)) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H20c zenon_H20b zenon_H20a zenon_H28d zenon_He9 zenon_H6a zenon_H6b zenon_H1ff zenon_H11 zenon_H1c0 zenon_H1bf zenon_H24f zenon_Hd4 zenon_Hd3 zenon_H1a zenon_H15e. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.87/1.06 apply (zenon_L208_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.87/1.06 apply (zenon_L162_); trivial. % 0.87/1.06 apply (zenon_L327_); trivial. % 0.87/1.06 (* end of lemma zenon_L328_ *) % 0.87/1.06 assert (zenon_L329_ : ((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a830))) -> (c1_1 (a842)) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_He4 zenon_H5f zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1be zenon_H7d zenon_H153 zenon_H189 zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H28d zenon_H15e zenon_H1ff zenon_H1c0 zenon_H1bf zenon_H6a zenon_H6b zenon_He9 zenon_H24f zenon_H253. % 0.87/1.06 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.87/1.06 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.87/1.06 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.87/1.06 apply (zenon_L328_); trivial. % 0.87/1.06 apply (zenon_L326_); trivial. % 0.87/1.06 (* end of lemma zenon_L329_ *) % 0.87/1.06 assert (zenon_L330_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c3_1 (a848)) -> (c2_1 (a848)) -> (~(c1_1 (a848))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a830))) -> (c1_1 (a842)) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> (~(hskp20)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp15)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H122 zenon_H11a zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H5f zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1be zenon_H7d zenon_H153 zenon_H189 zenon_H26a zenon_H118 zenon_H24f zenon_H6b zenon_H6a zenon_H1bf zenon_H1c0 zenon_H1ff zenon_H15e zenon_H28d zenon_Hc1 zenon_H26c zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_Hfa zenon_Ha2. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H84 | zenon_intro zenon_H9d ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.87/1.06 apply (zenon_L322_); trivial. % 0.87/1.06 apply (zenon_L326_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H8a. zenon_intro zenon_Ha0. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H88. zenon_intro zenon_H89. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.87/1.06 apply (zenon_L248_); trivial. % 0.87/1.06 apply (zenon_L329_); trivial. % 0.87/1.06 apply (zenon_L275_); trivial. % 0.87/1.06 (* end of lemma zenon_L330_ *) % 0.87/1.06 assert (zenon_L331_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a842)) -> (~(c0_1 (a830))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> (~(c1_1 (a848))) -> (c2_1 (a848)) -> (c3_1 (a848)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H14d zenon_H25c zenon_H19a zenon_Ha2 zenon_Hfa zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H26c zenon_Hc1 zenon_H28d zenon_H15e zenon_H1ff zenon_H1c0 zenon_H1bf zenon_H6a zenon_H6b zenon_H24f zenon_H26a zenon_H189 zenon_H153 zenon_H7d zenon_H1be zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H5f zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H11a zenon_H122. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.06 apply (zenon_L330_); trivial. % 0.87/1.06 apply (zenon_L226_); trivial. % 0.87/1.06 (* end of lemma zenon_L331_ *) % 0.87/1.06 assert (zenon_L332_ : ((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a830))) -> (c1_1 (a842)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp15)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H1e9 zenon_H18c zenon_H122 zenon_H11a zenon_H5f zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1be zenon_H7d zenon_H189 zenon_H26a zenon_H24f zenon_H6b zenon_H6a zenon_H1bf zenon_H1c0 zenon_H1ff zenon_H15e zenon_H28d zenon_Hc1 zenon_H26c zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_Hfa zenon_Ha2 zenon_H19a zenon_H25c zenon_H14d. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.06 apply (zenon_L331_); trivial. % 0.87/1.06 apply (zenon_L92_); trivial. % 0.87/1.06 (* end of lemma zenon_L332_ *) % 0.87/1.06 assert (zenon_L333_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(hskp13)) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> (~(c0_1 (a830))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H77 zenon_H18f zenon_H18c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H5 zenon_H1da zenon_H14d zenon_H25c zenon_H19a zenon_Ha2 zenon_Hfa zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H26c zenon_Hc1 zenon_H28d zenon_H1ff zenon_H1c0 zenon_H1bf zenon_H24f zenon_H26a zenon_H189 zenon_H1be zenon_H5f zenon_H11a zenon_H122 zenon_H1f3. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.87/1.06 apply (zenon_L319_); trivial. % 0.87/1.06 apply (zenon_L332_); trivial. % 0.87/1.06 apply (zenon_L95_); trivial. % 0.87/1.06 (* end of lemma zenon_L333_ *) % 0.87/1.06 assert (zenon_L334_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> (~(c0_1 (a830))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((hskp14)\/(hskp24)) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp12)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H83 zenon_H18f zenon_H18c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1da zenon_H14d zenon_H25c zenon_H19a zenon_Hfa zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H26c zenon_Hc1 zenon_H28d zenon_H1ff zenon_H1c0 zenon_H1bf zenon_H24f zenon_H26a zenon_H189 zenon_H1be zenon_H5f zenon_H11a zenon_H122 zenon_H1f3 zenon_H86 zenon_Hb zenon_H5 zenon_H1a2 zenon_Ha2. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.06 apply (zenon_L105_); trivial. % 0.87/1.06 apply (zenon_L333_); trivial. % 0.87/1.06 (* end of lemma zenon_L334_ *) % 0.87/1.06 assert (zenon_L335_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> ((hskp14)\/(hskp24)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> (~(c0_1 (a830))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_Ha3 zenon_H59 zenon_H1b7 zenon_H200 zenon_H147 zenon_H31 zenon_H4d zenon_Hd0 zenon_Hcc zenon_H25a zenon_H9b zenon_Heb zenon_Hed zenon_H11d zenon_H14c zenon_Ha2 zenon_H1a2 zenon_Hb zenon_H86 zenon_H1f3 zenon_H122 zenon_H11a zenon_H5f zenon_H1be zenon_H189 zenon_H26a zenon_H24f zenon_H1bf zenon_H1c0 zenon_H1ff zenon_H28d zenon_Hc1 zenon_H26c zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_Hfa zenon_H19a zenon_H25c zenon_H14d zenon_H1da zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H18c zenon_H18f zenon_H83. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.06 apply (zenon_L334_); trivial. % 0.87/1.06 apply (zenon_L227_); trivial. % 0.87/1.06 (* end of lemma zenon_L335_ *) % 0.87/1.06 assert (zenon_L336_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> (c3_1 (a831)) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> (~(c0_1 (a830))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H59 zenon_H1b7 zenon_H200 zenon_H147 zenon_H31 zenon_H4d zenon_Hcc zenon_Hd0 zenon_H21d zenon_Hd zenon_H21b zenon_H1dc zenon_H255 zenon_H86 zenon_H9b zenon_H9e zenon_H14c zenon_H198 zenon_H16f zenon_H16d zenon_H16e zenon_H19a zenon_H19c zenon_H1f3 zenon_H122 zenon_H11a zenon_H5f zenon_H1be zenon_H189 zenon_H26a zenon_H24f zenon_H1bf zenon_H1c0 zenon_H1ff zenon_H28d zenon_Hc1 zenon_H26c zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_Hfa zenon_Ha2 zenon_H25c zenon_H14d zenon_H1da zenon_H177 zenon_H18c zenon_H18f zenon_H83. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.06 apply (zenon_L101_); trivial. % 0.87/1.06 apply (zenon_L333_); trivial. % 0.87/1.06 apply (zenon_L293_); trivial. % 0.87/1.06 (* end of lemma zenon_L336_ *) % 0.87/1.06 assert (zenon_L337_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (ndr1_0) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp23)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c0_1 (a826)) -> (c2_1 (a826)) -> (c3_1 (a826)) -> (~(hskp15)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H24f zenon_He9 zenon_H6a zenon_H6b zenon_H35 zenon_H41 zenon_H36 zenon_H15e zenon_H28d zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1fc zenon_H1b7. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.87/1.06 apply (zenon_L112_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.87/1.06 apply (zenon_L325_); trivial. % 0.87/1.06 apply (zenon_L148_); trivial. % 0.87/1.06 apply (zenon_L91_); trivial. % 0.87/1.06 (* end of lemma zenon_L337_ *) % 0.87/1.06 assert (zenon_L338_ : ((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c1_1 (a842)) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(hskp0)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H58 zenon_H255 zenon_Hd0 zenon_H7d zenon_Hcc zenon_Hce zenon_H1b7 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H28d zenon_H15e zenon_H6b zenon_H6a zenon_He9 zenon_H24f zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H1dc. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.87/1.06 apply (zenon_L217_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.87/1.06 apply (zenon_L337_); trivial. % 0.87/1.06 exact (zenon_H1dc zenon_H1dd). % 0.87/1.06 (* end of lemma zenon_L338_ *) % 0.87/1.06 assert (zenon_L339_ : ((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp22)) -> (~(hskp1)) -> (c1_1 (a842)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_He4 zenon_H5f zenon_H255 zenon_H1dc zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H1be zenon_Hd0 zenon_Hce zenon_Hcc zenon_H7d zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H28d zenon_H15e zenon_H1ff zenon_H1c0 zenon_H1bf zenon_H6a zenon_H6b zenon_He9 zenon_H24f zenon_H253. % 0.87/1.06 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.87/1.06 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.87/1.06 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.87/1.06 apply (zenon_L328_); trivial. % 0.87/1.06 apply (zenon_L338_); trivial. % 0.87/1.06 (* end of lemma zenon_L339_ *) % 0.87/1.06 assert (zenon_L340_ : ((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp22)) -> (~(hskp1)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H9d zenon_Hfa zenon_H5f zenon_H255 zenon_H1dc zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H1be zenon_Hd0 zenon_Hce zenon_Hcc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H28d zenon_H15e zenon_H1ff zenon_H1c0 zenon_H1bf zenon_He9 zenon_H24f zenon_H253 zenon_H6a zenon_H6b zenon_H7d zenon_H26c. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H8a. zenon_intro zenon_Ha0. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H88. zenon_intro zenon_H89. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.87/1.06 apply (zenon_L248_); trivial. % 0.87/1.06 apply (zenon_L339_); trivial. % 0.87/1.06 (* end of lemma zenon_L340_ *) % 0.87/1.06 assert (zenon_L341_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp20)) -> ((hskp28)\/((hskp24)\/(hskp20))) -> (c1_1 (a842)) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c0_1 (a830))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_Ha2 zenon_Hfa zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H26c zenon_Hc1 zenon_H28d zenon_H15e zenon_H1ff zenon_H1c0 zenon_H1bf zenon_H6a zenon_H6b zenon_He9 zenon_H24f zenon_H118 zenon_H26a zenon_H7d zenon_Hcc zenon_Hce zenon_Hd0 zenon_H1be zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1b7 zenon_H1dc zenon_H255 zenon_H5f. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H84 | zenon_intro zenon_H9d ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.87/1.06 apply (zenon_L322_); trivial. % 0.87/1.06 apply (zenon_L338_); trivial. % 0.87/1.06 apply (zenon_L340_); trivial. % 0.87/1.06 (* end of lemma zenon_L341_ *) % 0.87/1.06 assert (zenon_L342_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp2)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H11c zenon_H25c zenon_H16f zenon_H16e zenon_H16d zenon_H118 zenon_H11a zenon_H19a. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H16c | zenon_intro zenon_H25d ]. % 0.87/1.06 apply (zenon_L91_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H144 | zenon_intro zenon_H19b ]. % 0.87/1.06 apply (zenon_L191_); trivial. % 0.87/1.06 exact (zenon_H19a zenon_H19b). % 0.87/1.06 (* end of lemma zenon_L342_ *) % 0.87/1.06 assert (zenon_L343_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp22)) -> (~(hskp1)) -> (c1_1 (a842)) -> ((hskp28)\/((hskp24)\/(hskp20))) -> (~(hskp20)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp15)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H122 zenon_H25c zenon_H19a zenon_H11a zenon_H5f zenon_H255 zenon_H1dc zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H1be zenon_Hd0 zenon_Hce zenon_Hcc zenon_H7d zenon_H26a zenon_H118 zenon_H24f zenon_H6b zenon_H6a zenon_H1bf zenon_H1c0 zenon_H1ff zenon_H15e zenon_H28d zenon_Hc1 zenon_H26c zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_Hfa zenon_Ha2. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.06 apply (zenon_L341_); trivial. % 0.87/1.06 apply (zenon_L342_); trivial. % 0.87/1.06 (* end of lemma zenon_L343_ *) % 0.87/1.06 assert (zenon_L344_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> (c3_1 (a831)) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c0_1 (a835))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H1b7 zenon_H4d zenon_H147 zenon_H86 zenon_H9b zenon_H9e zenon_H14c zenon_H198 zenon_H16f zenon_H16d zenon_H16e zenon_H19a zenon_H19c zenon_H1f3 zenon_H5f zenon_H189 zenon_H26a zenon_H1ff zenon_H28d zenon_Hc1 zenon_H26c zenon_Ha2 zenon_H25c zenon_H1da zenon_H285 zenon_H1de zenon_H200 zenon_H11a zenon_Hfa zenon_H122 zenon_H272 zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H229 zenon_H1a8 zenon_H1a9 zenon_H1a7 zenon_H177 zenon_H14d zenon_H18c zenon_H18f zenon_H83. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.06 apply (zenon_L101_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.87/1.06 apply (zenon_L297_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.06 apply (zenon_L331_); trivial. % 0.87/1.06 apply (zenon_L296_); trivial. % 0.87/1.06 apply (zenon_L95_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.06 apply (zenon_L41_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.06 apply (zenon_L343_); trivial. % 0.87/1.06 apply (zenon_L100_); trivial. % 0.87/1.06 apply (zenon_L284_); trivial. % 0.87/1.06 apply (zenon_L95_); trivial. % 0.87/1.06 (* end of lemma zenon_L344_ *) % 0.87/1.06 assert (zenon_L345_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H77 zenon_H18c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H22e zenon_H22f zenon_H230 zenon_H189. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.06 apply (zenon_L185_); trivial. % 0.87/1.06 apply (zenon_L92_); trivial. % 0.87/1.06 (* end of lemma zenon_L345_ *) % 0.87/1.06 assert (zenon_L346_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H83 zenon_H18c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H22e zenon_H22f zenon_H230 zenon_H189 zenon_Hb zenon_Hd zenon_Hf. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.06 apply (zenon_L8_); trivial. % 0.87/1.06 apply (zenon_L345_); trivial. % 0.87/1.06 (* end of lemma zenon_L346_ *) % 0.87/1.06 assert (zenon_L347_ : ((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp14)\/(hskp24)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H238 zenon_H1b9 zenon_H255 zenon_H1dc zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1b7 zenon_H83 zenon_H18c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H189 zenon_Hf zenon_Ha2 zenon_H9e zenon_H9b zenon_H86 zenon_H1a1. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.87/1.06 apply (zenon_L346_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.06 apply (zenon_L41_); trivial. % 0.87/1.06 apply (zenon_L345_); trivial. % 0.87/1.06 apply (zenon_L317_); trivial. % 0.87/1.06 (* end of lemma zenon_L347_ *) % 0.87/1.06 assert (zenon_L348_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp3))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> (~(hskp3)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H1f4 zenon_H292 zenon_H260 zenon_H25f zenon_H25e zenon_Heb. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H16c | zenon_intro zenon_H293 ]. % 0.87/1.06 apply (zenon_L91_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H225 | zenon_intro zenon_Hec ]. % 0.87/1.06 apply (zenon_L228_); trivial. % 0.87/1.06 exact (zenon_Heb zenon_Hec). % 0.87/1.06 (* end of lemma zenon_L348_ *) % 0.87/1.06 assert (zenon_L349_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H121 zenon_H122 zenon_H229 zenon_H118 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H253 zenon_H1bf zenon_H1c0 zenon_H6a zenon_H6b zenon_H7d zenon_H24f zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.06 apply (zenon_L264_); trivial. % 0.87/1.06 apply (zenon_L233_); trivial. % 0.87/1.06 (* end of lemma zenon_L349_ *) % 0.87/1.06 assert (zenon_L350_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H77 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.06 apply (zenon_L260_); trivial. % 0.87/1.06 apply (zenon_L233_); trivial. % 0.87/1.06 apply (zenon_L349_); trivial. % 0.87/1.06 apply (zenon_L234_); trivial. % 0.87/1.06 (* end of lemma zenon_L350_ *) % 0.87/1.06 assert (zenon_L351_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> (ndr1_0) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H83 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c zenon_H1a zenon_H20a zenon_H20b zenon_H20c zenon_H5 zenon_H213. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.06 apply (zenon_L163_); trivial. % 0.87/1.06 apply (zenon_L350_); trivial. % 0.87/1.06 (* end of lemma zenon_L351_ *) % 0.87/1.06 assert (zenon_L352_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (ndr1_0) -> (~(c0_1 (a854))) -> (~(c2_1 (a854))) -> (c1_1 (a854)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H122 zenon_H4d zenon_H25e zenon_H25f zenon_H260 zenon_H11a zenon_H118 zenon_H229 zenon_Hc1 zenon_Heb zenon_Hed zenon_H1a zenon_H61 zenon_H62 zenon_H63 zenon_Hab zenon_H1e zenon_H1d zenon_H2a zenon_H7a zenon_H9 zenon_H1 zenon_Hf2 zenon_Hfa. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.06 apply (zenon_L65_); trivial. % 0.87/1.06 apply (zenon_L230_); trivial. % 0.87/1.06 (* end of lemma zenon_L352_ *) % 0.87/1.06 assert (zenon_L353_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H7e zenon_H14d zenon_H147 zenon_Hfa zenon_Hf2 zenon_H1 zenon_H9 zenon_H7a zenon_H2a zenon_H1d zenon_H1e zenon_Hab zenon_Hed zenon_Heb zenon_Hc1 zenon_H229 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H4d zenon_H122. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.06 apply (zenon_L352_); trivial. % 0.87/1.06 apply (zenon_L204_); trivial. % 0.87/1.06 (* end of lemma zenon_L353_ *) % 0.87/1.06 assert (zenon_L354_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1be zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c zenon_H14d zenon_H5f zenon_Hed zenon_Heb zenon_H15 zenon_H17 zenon_H4d zenon_H31 zenon_H147 zenon_H11a zenon_H200 zenon_H1c0 zenon_H1bf zenon_H1b7 zenon_H59 zenon_H122 zenon_H25e zenon_H25f zenon_H260 zenon_H229 zenon_Hc1 zenon_Hab zenon_H7a zenon_H1 zenon_Hf2 zenon_Hfa zenon_H78. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.87/1.06 apply (zenon_L201_); trivial. % 0.87/1.06 apply (zenon_L353_); trivial. % 0.87/1.06 apply (zenon_L235_); trivial. % 0.87/1.06 (* end of lemma zenon_L354_ *) % 0.87/1.06 assert (zenon_L355_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_Ha3 zenon_H5f zenon_Hed zenon_Heb zenon_H15 zenon_H17 zenon_H4d zenon_H31 zenon_H147 zenon_H200 zenon_H1b7 zenon_H59 zenon_Hc1 zenon_Hab zenon_H7a zenon_H1 zenon_Hf2 zenon_Hfa zenon_H78 zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H1a zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H24f zenon_H25e zenon_H25f zenon_H260 zenon_H11a zenon_H229 zenon_H122 zenon_H14d zenon_H83. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.06 apply (zenon_L351_); trivial. % 0.87/1.06 apply (zenon_L354_); trivial. % 0.87/1.06 (* end of lemma zenon_L355_ *) % 0.87/1.06 assert (zenon_L356_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (ndr1_0) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H83 zenon_H14c zenon_H11d zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hd0 zenon_Hcc zenon_H15 zenon_H1ef zenon_H1a zenon_H20a zenon_H20b zenon_H20c zenon_H5 zenon_H213. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.06 apply (zenon_L163_); trivial. % 0.87/1.06 apply (zenon_L138_); trivial. % 0.87/1.06 (* end of lemma zenon_L356_ *) % 0.87/1.06 assert (zenon_L357_ : ((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H207 zenon_H206 zenon_H200 zenon_H1ff zenon_Ha3 zenon_H78 zenon_Hc1 zenon_Hab zenon_H7a zenon_He5 zenon_Hfa zenon_H17 zenon_H48 zenon_H1d8 zenon_H5f zenon_H198 zenon_H1f3 zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H1ef zenon_Hcc zenon_Hd0 zenon_H11d zenon_H14c zenon_H83 zenon_H18c zenon_H177 zenon_H155 zenon_H160 zenon_H59 zenon_H189 zenon_H18f zenon_H203. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a. zenon_intro zenon_H208. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1cd. zenon_intro zenon_H209. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.06 apply (zenon_L356_); trivial. % 0.87/1.06 apply (zenon_L144_); trivial. % 0.87/1.06 apply (zenon_L146_); trivial. % 0.87/1.06 apply (zenon_L156_); trivial. % 0.87/1.06 (* end of lemma zenon_L357_ *) % 0.87/1.06 assert (zenon_L358_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H83 zenon_H78 zenon_H79 zenon_H7a zenon_H17 zenon_H15 zenon_H4d zenon_H46 zenon_H48 zenon_H31 zenon_H59 zenon_H5f zenon_H86 zenon_H9b zenon_H9e zenon_Ha2 zenon_H1 zenon_H3 zenon_H7. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.06 apply (zenon_L42_); trivial. % 0.87/1.06 (* end of lemma zenon_L358_ *) % 0.87/1.06 assert (zenon_L359_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((hskp7)\/((hskp5)\/(hskp13))) -> (~(hskp5)) -> (~(hskp7)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H1a1 zenon_H86 zenon_H9b zenon_H9e zenon_Ha2 zenon_H7 zenon_H3 zenon_H1 zenon_Hf zenon_Hd zenon_H5f zenon_H59 zenon_H31 zenon_H48 zenon_H46 zenon_H4d zenon_H15 zenon_H17 zenon_H7a zenon_H79 zenon_H78 zenon_H83 zenon_Ha3. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.06 apply (zenon_L4_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.06 apply (zenon_L34_); trivial. % 0.87/1.06 apply (zenon_L358_); trivial. % 0.87/1.06 (* end of lemma zenon_L359_ *) % 0.87/1.06 assert (zenon_L360_ : (~(hskp17)) -> (hskp17) -> False). % 0.87/1.06 do 0 intro. intros zenon_H294 zenon_H295. % 0.87/1.06 exact (zenon_H294 zenon_H295). % 0.87/1.06 (* end of lemma zenon_L360_ *) % 0.87/1.06 assert (zenon_L361_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> (~(c1_1 (a820))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp17)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H296 zenon_H297 zenon_H298 zenon_H299 zenon_H1a zenon_Hb zenon_H294. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H29b | zenon_intro zenon_H29a ]. % 0.87/1.06 generalize (zenon_H29b (a820)). zenon_intro zenon_H29c. % 0.87/1.06 apply (zenon_imply_s _ _ zenon_H29c); [ zenon_intro zenon_H19 | zenon_intro zenon_H29d ]. % 0.87/1.06 exact (zenon_H19 zenon_H1a). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H29f | zenon_intro zenon_H29e ]. % 0.87/1.06 exact (zenon_H299 zenon_H29f). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2a0 ]. % 0.87/1.06 exact (zenon_H298 zenon_H2a1). % 0.87/1.06 exact (zenon_H2a0 zenon_H297). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_Hc | zenon_intro zenon_H295 ]. % 0.87/1.06 exact (zenon_Hb zenon_Hc). % 0.87/1.06 exact (zenon_H294 zenon_H295). % 0.87/1.06 (* end of lemma zenon_L361_ *) % 0.87/1.06 assert (zenon_L362_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> (~(c2_1 (a852))) -> (~(c3_1 (a852))) -> (c1_1 (a852)) -> False). % 0.87/1.06 do 0 intro. intros zenon_Hc2 zenon_H1a zenon_H2a2 zenon_H2a3 zenon_H2a4. % 0.87/1.06 generalize (zenon_Hc2 (a852)). zenon_intro zenon_H2a5. % 0.87/1.06 apply (zenon_imply_s _ _ zenon_H2a5); [ zenon_intro zenon_H19 | zenon_intro zenon_H2a6 ]. % 0.87/1.06 exact (zenon_H19 zenon_H1a). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a7 ]. % 0.87/1.06 exact (zenon_H2a2 zenon_H2a8). % 0.87/1.06 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2a9 ]. % 0.87/1.06 exact (zenon_H2a3 zenon_H2aa). % 0.87/1.06 exact (zenon_H2a9 zenon_H2a4). % 0.87/1.06 (* end of lemma zenon_L362_ *) % 0.87/1.06 assert (zenon_L363_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c1_1 (a852)) -> (~(c3_1 (a852))) -> (~(c2_1 (a852))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp22)) -> False). % 0.87/1.06 do 0 intro. intros zenon_Hd0 zenon_H2a4 zenon_H2a3 zenon_H2a2 zenon_H1a zenon_Hcc zenon_Hce. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hd1 ]. % 0.87/1.06 apply (zenon_L362_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcf ]. % 0.87/1.06 exact (zenon_Hcc zenon_Hcd). % 0.87/1.06 exact (zenon_Hce zenon_Hcf). % 0.87/1.06 (* end of lemma zenon_L363_ *) % 0.87/1.06 assert (zenon_L364_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp5)) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H121 zenon_H122 zenon_H11d zenon_Hcc zenon_H118 zenon_H11a zenon_H127 zenon_H3 zenon_H9 zenon_H1 zenon_Hf2 zenon_H135. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.06 apply (zenon_L77_); trivial. % 0.87/1.06 apply (zenon_L71_); trivial. % 0.87/1.06 (* end of lemma zenon_L364_ *) % 0.87/1.06 assert (zenon_L365_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a854))) -> (~(c2_1 (a854))) -> (c1_1 (a854)) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c1_1 (a844))) -> (~(c3_1 (a844))) -> (c2_1 (a844)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp14)) -> ((hskp14)\/(hskp24)) -> False). % 0.87/1.06 do 0 intro. intros zenon_H149 zenon_Ha2 zenon_H177 zenon_H61 zenon_H62 zenon_H63 zenon_H1d zenon_H2a zenon_H1e zenon_H7a zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H17b zenon_H17c zenon_H17d zenon_Hf2 zenon_H1 zenon_H1b7 zenon_H9 zenon_H86. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.87/1.06 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H84 | zenon_intro zenon_H9d ]. % 0.87/1.06 apply (zenon_L36_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H8a. zenon_intro zenon_Ha0. % 0.87/1.06 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H88. zenon_intro zenon_H89. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.87/1.06 apply (zenon_L115_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.87/1.06 apply (zenon_L30_); trivial. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.87/1.06 apply (zenon_L170_); trivial. % 0.87/1.06 apply (zenon_L24_); trivial. % 0.87/1.06 (* end of lemma zenon_L365_ *) % 0.87/1.06 assert (zenon_L366_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c1_1 (a844))) -> (~(c3_1 (a844))) -> (c2_1 (a844)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((hskp14)\/(hskp24)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (~(hskp14)) -> (~(hskp5)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.87/1.06 do 0 intro. intros zenon_H2ab zenon_H78 zenon_H14d zenon_Ha2 zenon_H177 zenon_H7a zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H17b zenon_H17c zenon_H17d zenon_H1b7 zenon_H86 zenon_Hd0 zenon_Hcc zenon_H135 zenon_Hf2 zenon_H1 zenon_H9 zenon_H3 zenon_H127 zenon_H11a zenon_H11d zenon_H122 zenon_H14c zenon_H17 zenon_H15 zenon_H4d zenon_H46 zenon_H48 zenon_H1d zenon_H1e zenon_H2a zenon_H31 zenon_H59 zenon_H5f. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.87/1.06 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.87/1.06 apply (zenon_L29_); trivial. % 0.87/1.06 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.07 apply (zenon_L363_); trivial. % 0.87/1.07 apply (zenon_L364_); trivial. % 0.87/1.07 apply (zenon_L365_); trivial. % 0.87/1.07 (* end of lemma zenon_L366_ *) % 0.87/1.07 assert (zenon_L367_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> (~(c1_1 (a820))) -> (~(c3_1 (a820))) -> (c0_1 (a820)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp14)\/(hskp24)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H1b9 zenon_H18f zenon_H2ae zenon_H14d zenon_H177 zenon_H1b7 zenon_Hd0 zenon_Hcc zenon_H135 zenon_Hf2 zenon_H127 zenon_H11a zenon_H11d zenon_H122 zenon_H14c zenon_H299 zenon_H298 zenon_H297 zenon_H296 zenon_H160 zenon_Ha3 zenon_H83 zenon_H78 zenon_H79 zenon_H7a zenon_H17 zenon_H15 zenon_H4d zenon_H46 zenon_H48 zenon_H31 zenon_H59 zenon_H5f zenon_Hf zenon_H1 zenon_H3 zenon_H7 zenon_Ha2 zenon_H9e zenon_H9b zenon_H86 zenon_H1a1. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.87/1.07 apply (zenon_L359_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.87/1.07 apply (zenon_L111_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H1a. zenon_intro zenon_H18d. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H17d. zenon_intro zenon_H18e. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.87/1.07 apply (zenon_L361_); trivial. % 0.87/1.07 apply (zenon_L366_); trivial. % 0.87/1.07 apply (zenon_L33_); trivial. % 0.87/1.07 apply (zenon_L358_); trivial. % 0.87/1.07 (* end of lemma zenon_L367_ *) % 0.87/1.07 assert (zenon_L368_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (c2_1 (a844)) -> (~(c3_1 (a844))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c1_1 (a844))) -> (ndr1_0) -> (~(c2_1 (a852))) -> (~(c3_1 (a852))) -> (c1_1 (a852)) -> False). % 0.87/1.07 do 0 intro. intros zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H17d zenon_H17c zenon_H162 zenon_H17b zenon_H1a zenon_H2a2 zenon_H2a3 zenon_H2a4. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.87/1.07 apply (zenon_L112_); trivial. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.87/1.07 apply (zenon_L93_); trivial. % 0.87/1.07 apply (zenon_L362_); trivial. % 0.87/1.07 (* end of lemma zenon_L368_ *) % 0.87/1.07 assert (zenon_L369_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c1_1 (a844))) -> (~(c3_1 (a844))) -> (c2_1 (a844)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H2ab zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H17b zenon_H17c zenon_H17d zenon_H1b7. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.87/1.07 apply (zenon_L368_); trivial. % 0.87/1.07 apply (zenon_L91_); trivial. % 0.87/1.07 (* end of lemma zenon_L369_ *) % 0.87/1.07 assert (zenon_L370_ : ((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c1_1 (a820))) -> (~(c3_1 (a820))) -> (c0_1 (a820)) -> (~(hskp12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H18b zenon_H2ae zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1b7 zenon_H299 zenon_H298 zenon_H297 zenon_Hb zenon_H296. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H1a. zenon_intro zenon_H18d. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H17d. zenon_intro zenon_H18e. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.87/1.07 apply (zenon_L361_); trivial. % 0.87/1.07 apply (zenon_L369_); trivial. % 0.87/1.07 (* end of lemma zenon_L370_ *) % 0.87/1.07 assert (zenon_L371_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((hskp14)\/(hskp24)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp12)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> (~(c1_1 (a820))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H1f4 zenon_H1b9 zenon_H86 zenon_H1a2 zenon_Ha2 zenon_H31 zenon_H296 zenon_H297 zenon_H298 zenon_H299 zenon_H1b7 zenon_H2ae zenon_Ha3 zenon_H83 zenon_H18f zenon_H189 zenon_H59 zenon_H160 zenon_H46 zenon_H48 zenon_H155 zenon_H177 zenon_H18c zenon_Hf zenon_H14c zenon_H198 zenon_H19a zenon_H19c zenon_H1a1. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.87/1.07 apply (zenon_L103_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L106_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.87/1.07 apply (zenon_L111_); trivial. % 0.87/1.07 apply (zenon_L370_); trivial. % 0.87/1.07 apply (zenon_L102_); trivial. % 0.87/1.07 (* end of lemma zenon_L371_ *) % 0.87/1.07 assert (zenon_L372_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.87/1.07 do 0 intro. intros zenon_Ha3 zenon_H83 zenon_H78 zenon_H79 zenon_H7a zenon_H17 zenon_H15 zenon_H46 zenon_H48 zenon_H31 zenon_H59 zenon_H5f zenon_H122 zenon_H4d zenon_H25e zenon_H25f zenon_H260 zenon_H11a zenon_H229 zenon_H127 zenon_Hf2 zenon_H135 zenon_H147 zenon_H14d zenon_H1 zenon_H3 zenon_H7. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_L232_); trivial. % 0.87/1.07 apply (zenon_L33_); trivial. % 0.87/1.07 (* end of lemma zenon_L372_ *) % 0.87/1.07 assert (zenon_L373_ : ((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_He4 zenon_H59 zenon_H246 zenon_H247 zenon_H248 zenon_H31 zenon_H1e zenon_H2a zenon_H1d zenon_H48 zenon_H46 zenon_H253. % 0.87/1.07 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.87/1.07 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.87/1.07 apply (zenon_L237_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.87/1.07 apply (zenon_L208_); trivial. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.87/1.07 apply (zenon_L86_); trivial. % 0.87/1.07 apply (zenon_L238_); trivial. % 0.87/1.07 (* end of lemma zenon_L373_ *) % 0.87/1.07 assert (zenon_L374_ : ((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H9d zenon_Hfa zenon_H59 zenon_H246 zenon_H247 zenon_H248 zenon_H31 zenon_H1e zenon_H2a zenon_H1d zenon_H48 zenon_H46 zenon_H253 zenon_H6a zenon_H6b zenon_H7d zenon_H26c. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H8a. zenon_intro zenon_Ha0. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H88. zenon_intro zenon_H89. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.87/1.07 apply (zenon_L248_); trivial. % 0.87/1.07 apply (zenon_L373_); trivial. % 0.87/1.07 (* end of lemma zenon_L374_ *) % 0.87/1.07 assert (zenon_L375_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_Ha2 zenon_Hfa zenon_H246 zenon_H247 zenon_H248 zenon_H31 zenon_H1e zenon_H2a zenon_H1d zenon_H253 zenon_H26c zenon_H26a zenon_H118 zenon_H155 zenon_H153 zenon_H7d zenon_H6b zenon_H6a zenon_H46 zenon_H48 zenon_H59 zenon_Hc1. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H84 | zenon_intro zenon_H9d ]. % 0.87/1.07 apply (zenon_L247_); trivial. % 0.87/1.07 apply (zenon_L374_); trivial. % 0.87/1.07 (* end of lemma zenon_L375_ *) % 0.87/1.07 assert (zenon_L376_ : ((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H176 zenon_Hfa zenon_H59 zenon_H246 zenon_H247 zenon_H248 zenon_H31 zenon_H1e zenon_H2a zenon_H1d zenon_H48 zenon_H46 zenon_H253 zenon_H1dc zenon_H1de. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.87/1.07 apply (zenon_L131_); trivial. % 0.87/1.07 apply (zenon_L373_); trivial. % 0.87/1.07 (* end of lemma zenon_L376_ *) % 0.87/1.07 assert (zenon_L377_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H77 zenon_H18f zenon_H18c zenon_H1dc zenon_H1de zenon_Ha2 zenon_Hfa zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H26c zenon_H26a zenon_H155 zenon_Hc1 zenon_H189 zenon_H21d zenon_Hd zenon_H21b zenon_H15 zenon_H1ef zenon_H177 zenon_H14d zenon_H160 zenon_H46 zenon_H1d zenon_H2a zenon_H1e zenon_H31 zenon_H48 zenon_H59. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.87/1.07 apply (zenon_L111_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H1a. zenon_intro zenon_H18d. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H17d. zenon_intro zenon_H18e. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.07 apply (zenon_L375_); trivial. % 0.87/1.07 apply (zenon_L174_); trivial. % 0.87/1.07 apply (zenon_L376_); trivial. % 0.87/1.07 (* end of lemma zenon_L377_ *) % 0.87/1.07 assert (zenon_L378_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((hskp7)\/((hskp5)\/(hskp13))) -> (~(hskp5)) -> (~(hskp7)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H1a1 zenon_H86 zenon_H9b zenon_H9e zenon_H7 zenon_H3 zenon_H1 zenon_Hf zenon_Hd zenon_H59 zenon_H48 zenon_H31 zenon_H46 zenon_H160 zenon_H14d zenon_H177 zenon_H1ef zenon_H15 zenon_H21b zenon_H21d zenon_H189 zenon_Hc1 zenon_H155 zenon_H26a zenon_H26c zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_Hfa zenon_Ha2 zenon_H1de zenon_H1dc zenon_H18c zenon_H18f zenon_H83 zenon_Ha3. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_L8_); trivial. % 0.87/1.07 apply (zenon_L377_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_L41_); trivial. % 0.87/1.07 apply (zenon_L377_); trivial. % 0.87/1.07 (* end of lemma zenon_L378_ *) % 0.87/1.07 assert (zenon_L379_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c1_1 (a852)) -> (~(c3_1 (a852))) -> (~(c2_1 (a852))) -> (c3_1 (a839)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13)))))) -> (~(c2_1 (a839))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.87/1.07 do 0 intro. intros zenon_H24f zenon_H2a4 zenon_H2a3 zenon_H2a2 zenon_H1e zenon_H1b zenon_H1d zenon_H1a zenon_He9. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H250 ]. % 0.87/1.07 apply (zenon_L362_); trivial. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H25 | zenon_intro zenon_Hea ]. % 0.87/1.07 apply (zenon_L15_); trivial. % 0.87/1.07 exact (zenon_He9 zenon_Hea). % 0.87/1.07 (* end of lemma zenon_L379_ *) % 0.87/1.07 assert (zenon_L380_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (~(c2_1 (a852))) -> (~(c3_1 (a852))) -> (c1_1 (a852)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp26)) -> (~(hskp28)) -> False). % 0.87/1.07 do 0 intro. intros zenon_Hab zenon_He9 zenon_H1a zenon_H1d zenon_H1e zenon_H2a2 zenon_H2a3 zenon_H2a4 zenon_H24f zenon_Ha7 zenon_Ha9. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H1b | zenon_intro zenon_Hac ]. % 0.87/1.07 apply (zenon_L379_); trivial. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Haa ]. % 0.87/1.07 exact (zenon_Ha7 zenon_Ha8). % 0.87/1.07 exact (zenon_Ha9 zenon_Haa). % 0.87/1.07 (* end of lemma zenon_L380_ *) % 0.87/1.07 assert (zenon_L381_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a839)) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c1_1 (a854)) -> (~(c2_1 (a854))) -> (~(c0_1 (a854))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (c1_1 (a852)) -> (~(c3_1 (a852))) -> (~(c2_1 (a852))) -> (ndr1_0) -> (~(hskp26)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> False). % 0.87/1.07 do 0 intro. intros zenon_Hc1 zenon_H7a zenon_H2a zenon_H46 zenon_H48 zenon_H63 zenon_H62 zenon_H61 zenon_H24f zenon_He9 zenon_H1e zenon_H1d zenon_H2a4 zenon_H2a3 zenon_H2a2 zenon_H1a zenon_Ha7 zenon_Hab. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hbe ]. % 0.87/1.07 apply (zenon_L380_); trivial. % 0.87/1.07 apply (zenon_L51_); trivial. % 0.87/1.07 (* end of lemma zenon_L381_ *) % 0.87/1.07 assert (zenon_L382_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a852))) -> (~(c3_1 (a852))) -> (c1_1 (a852)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c0_1 (a854))) -> (~(c2_1 (a854))) -> (c1_1 (a854)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a839)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_Hfa zenon_H59 zenon_H246 zenon_H247 zenon_H248 zenon_H31 zenon_H253 zenon_Hab zenon_H1a zenon_H2a2 zenon_H2a3 zenon_H2a4 zenon_H1d zenon_H1e zenon_He9 zenon_H24f zenon_H61 zenon_H62 zenon_H63 zenon_H48 zenon_H46 zenon_H2a zenon_H7a zenon_Hc1. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.87/1.07 apply (zenon_L381_); trivial. % 0.87/1.07 apply (zenon_L373_); trivial. % 0.87/1.07 (* end of lemma zenon_L382_ *) % 0.87/1.07 assert (zenon_L383_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c1_1 (a844))) -> (~(c3_1 (a844))) -> (c2_1 (a844)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp14)) -> ((hskp14)\/(hskp24)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H2ab zenon_H78 zenon_H14d zenon_Ha2 zenon_H177 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H17b zenon_H17c zenon_H17d zenon_Hf2 zenon_H1 zenon_H1b7 zenon_H9 zenon_H86 zenon_Hd0 zenon_Hcc zenon_Hfa zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_Hab zenon_H24f zenon_H7a zenon_Hc1 zenon_H11a zenon_H11d zenon_H122 zenon_H14c zenon_H17 zenon_H15 zenon_H4d zenon_H46 zenon_H48 zenon_H1d zenon_H1e zenon_H2a zenon_H31 zenon_H59 zenon_H5f. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.87/1.07 apply (zenon_L29_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.07 apply (zenon_L363_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.07 apply (zenon_L382_); trivial. % 0.87/1.07 apply (zenon_L71_); trivial. % 0.87/1.07 apply (zenon_L365_); trivial. % 0.87/1.07 (* end of lemma zenon_L383_ *) % 0.87/1.07 assert (zenon_L384_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c0_1 (a835))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H77 zenon_H18f zenon_Ha2 zenon_H31 zenon_H1e zenon_H2a zenon_H1d zenon_H26c zenon_H26a zenon_Hc1 zenon_H189 zenon_H229 zenon_H14d zenon_H59 zenon_H160 zenon_H46 zenon_H48 zenon_H155 zenon_H1de zenon_H1dc zenon_H253 zenon_H1a8 zenon_H1a9 zenon_H1a7 zenon_H248 zenon_H247 zenon_H246 zenon_H177 zenon_Hfa zenon_H18c. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.87/1.07 apply (zenon_L256_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H1a. zenon_intro zenon_H18d. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H17d. zenon_intro zenon_H18e. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.07 apply (zenon_L375_); trivial. % 0.87/1.07 apply (zenon_L180_); trivial. % 0.87/1.07 apply (zenon_L376_); trivial. % 0.87/1.07 (* end of lemma zenon_L384_ *) % 0.87/1.07 assert (zenon_L385_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H77 zenon_H18c zenon_Hfa zenon_H59 zenon_H246 zenon_H247 zenon_H248 zenon_H31 zenon_H1e zenon_H2a zenon_H1d zenon_H48 zenon_H46 zenon_H253 zenon_H1dc zenon_H1de zenon_H22e zenon_H22f zenon_H230 zenon_H189. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.87/1.07 apply (zenon_L185_); trivial. % 0.87/1.07 apply (zenon_L376_); trivial. % 0.87/1.07 (* end of lemma zenon_L385_ *) % 0.87/1.07 assert (zenon_L386_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H83 zenon_H18c zenon_Hfa zenon_H59 zenon_H246 zenon_H247 zenon_H248 zenon_H31 zenon_H48 zenon_H46 zenon_H253 zenon_H1dc zenon_H1de zenon_H22e zenon_H22f zenon_H230 zenon_H189 zenon_H86 zenon_H9b zenon_H9e zenon_Ha2 zenon_H1 zenon_H3 zenon_H7. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_L41_); trivial. % 0.87/1.07 apply (zenon_L385_); trivial. % 0.87/1.07 (* end of lemma zenon_L386_ *) % 0.87/1.07 assert (zenon_L387_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H2ab zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H230 zenon_H22f zenon_H22e. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.87/1.07 apply (zenon_L112_); trivial. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.87/1.07 apply (zenon_L184_); trivial. % 0.87/1.07 apply (zenon_L362_); trivial. % 0.87/1.07 (* end of lemma zenon_L387_ *) % 0.87/1.07 assert (zenon_L388_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (ndr1_0) -> (~(c1_1 (a820))) -> (~(c3_1 (a820))) -> (c0_1 (a820)) -> (~(hskp12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H2ae zenon_H1b7 zenon_H230 zenon_H22f zenon_H22e zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H1a zenon_H299 zenon_H298 zenon_H297 zenon_Hb zenon_H296. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.87/1.07 apply (zenon_L361_); trivial. % 0.87/1.07 apply (zenon_L387_); trivial. % 0.87/1.07 (* end of lemma zenon_L388_ *) % 0.87/1.07 assert (zenon_L389_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((hskp7)\/((hskp5)\/(hskp13))) -> (~(hskp5)) -> (~(hskp7)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> (~(c1_1 (a820))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H237 zenon_H1a1 zenon_H86 zenon_H9b zenon_H9e zenon_H7 zenon_H3 zenon_H1 zenon_Hf zenon_H59 zenon_H48 zenon_H31 zenon_H46 zenon_H160 zenon_H14d zenon_H177 zenon_H1ef zenon_H15 zenon_H21d zenon_H189 zenon_Hc1 zenon_H155 zenon_H26a zenon_H26c zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_Hfa zenon_Ha2 zenon_H1de zenon_H1dc zenon_H18c zenon_H18f zenon_H83 zenon_Ha3 zenon_H229 zenon_H296 zenon_H297 zenon_H298 zenon_H299 zenon_H5f zenon_H4d zenon_H17 zenon_H14c zenon_H122 zenon_H11d zenon_H11a zenon_H7a zenon_H24f zenon_Hab zenon_Hcc zenon_Hd0 zenon_H1b7 zenon_Hf2 zenon_H78 zenon_H2ae zenon_H1b9. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.87/1.07 apply (zenon_L378_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.87/1.07 apply (zenon_L111_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H1a. zenon_intro zenon_H18d. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H17d. zenon_intro zenon_H18e. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.87/1.07 apply (zenon_L361_); trivial. % 0.87/1.07 apply (zenon_L383_); trivial. % 0.87/1.07 apply (zenon_L384_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_L41_); trivial. % 0.87/1.07 apply (zenon_L384_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_L8_); trivial. % 0.87/1.07 apply (zenon_L385_); trivial. % 0.87/1.07 apply (zenon_L386_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.87/1.07 apply (zenon_L388_); trivial. % 0.87/1.07 apply (zenon_L386_); trivial. % 0.87/1.07 (* end of lemma zenon_L389_ *) % 0.87/1.07 assert (zenon_L390_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (ndr1_0) -> (~(c2_1 (a852))) -> (~(c3_1 (a852))) -> (c1_1 (a852)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H14c zenon_H122 zenon_H11d zenon_H118 zenon_H11a zenon_H253 zenon_H6a zenon_H6b zenon_H7d zenon_H1bf zenon_H1c0 zenon_H1d zenon_H2a zenon_H1e zenon_H24f zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H1a zenon_H2a2 zenon_H2a3 zenon_H2a4 zenon_Hcc zenon_Hd0. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.07 apply (zenon_L363_); trivial. % 0.87/1.07 apply (zenon_L214_); trivial. % 0.87/1.07 (* end of lemma zenon_L390_ *) % 0.87/1.07 assert (zenon_L391_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> (~(c0_1 (a830))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H2ab zenon_H14d zenon_H1be zenon_H147 zenon_H4d zenon_Hd0 zenon_Hcc zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H24f zenon_H1e zenon_H2a zenon_H1d zenon_H1c0 zenon_H1bf zenon_H7d zenon_H6b zenon_H6a zenon_H253 zenon_H11a zenon_H11d zenon_H122 zenon_H14c. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.07 apply (zenon_L390_); trivial. % 0.87/1.07 apply (zenon_L220_); trivial. % 0.87/1.07 (* end of lemma zenon_L391_ *) % 0.87/1.07 assert (zenon_L392_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((hskp7)\/((hskp5)\/(hskp13))) -> (~(hskp5)) -> (~(hskp7)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> (~(c1_1 (a820))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(c0_1 (a830))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H1a1 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H31 zenon_H1ff zenon_H21d zenon_H21b zenon_H19a zenon_H19c zenon_H86 zenon_H9b zenon_H9e zenon_Ha2 zenon_H7 zenon_H3 zenon_H1 zenon_Hf zenon_Hd zenon_H296 zenon_H297 zenon_H298 zenon_H299 zenon_H14c zenon_H122 zenon_H11d zenon_H11a zenon_H253 zenon_H1bf zenon_H1c0 zenon_H24f zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_Hcc zenon_Hd0 zenon_H4d zenon_H147 zenon_H1be zenon_H14d zenon_H2ae zenon_H83 zenon_Ha3. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_L8_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.87/1.07 apply (zenon_L361_); trivial. % 0.87/1.07 apply (zenon_L391_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_L293_); trivial. % 0.87/1.07 (* end of lemma zenon_L392_ *) % 0.87/1.07 assert (zenon_L393_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(c3_1 (a820))) -> (c0_1 (a820)) -> (~(c1_1 (a820))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H298 zenon_H297 zenon_H299 zenon_H1fc zenon_H1a zenon_H1bf zenon_H1c0. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.87/1.07 apply (zenon_L112_); trivial. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.87/1.07 generalize (zenon_H1fc (a820)). zenon_intro zenon_H2af. % 0.87/1.07 apply (zenon_imply_s _ _ zenon_H2af); [ zenon_intro zenon_H19 | zenon_intro zenon_H2b0 ]. % 0.87/1.07 exact (zenon_H19 zenon_H1a). % 0.87/1.07 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H29f | zenon_intro zenon_H2b1 ]. % 0.87/1.07 exact (zenon_H299 zenon_H29f). % 0.87/1.07 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H2a1 ]. % 0.87/1.07 generalize (zenon_H17a (a820)). zenon_intro zenon_H2b3. % 0.87/1.07 apply (zenon_imply_s _ _ zenon_H2b3); [ zenon_intro zenon_H19 | zenon_intro zenon_H2b4 ]. % 0.87/1.07 exact (zenon_H19 zenon_H1a). % 0.87/1.07 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H29f | zenon_intro zenon_H2b5 ]. % 0.87/1.07 exact (zenon_H299 zenon_H29f). % 0.87/1.07 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H2b6 ]. % 0.87/1.07 exact (zenon_H2a0 zenon_H297). % 0.87/1.07 exact (zenon_H2b6 zenon_H2b2). % 0.87/1.07 exact (zenon_H298 zenon_H2a1). % 0.87/1.07 apply (zenon_L148_); trivial. % 0.87/1.07 (* end of lemma zenon_L393_ *) % 0.87/1.07 assert (zenon_L394_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c1_1 (a820))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp0)) -> False). % 0.87/1.07 do 0 intro. intros zenon_H121 zenon_H255 zenon_H1c0 zenon_H1bf zenon_H299 zenon_H297 zenon_H298 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1b7 zenon_H1dc. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.87/1.07 apply (zenon_L66_); trivial. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.87/1.07 apply (zenon_L393_); trivial. % 0.87/1.07 exact (zenon_H1dc zenon_H1dd). % 0.87/1.07 (* end of lemma zenon_L394_ *) % 0.87/1.07 assert (zenon_L395_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c1_1 (a820))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H2ab zenon_H14c zenon_H255 zenon_H1dc zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H299 zenon_H297 zenon_H298 zenon_H1bf zenon_H1c0 zenon_H1b7 zenon_Hcc zenon_Hd0. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.07 apply (zenon_L363_); trivial. % 0.87/1.07 apply (zenon_L394_); trivial. % 0.87/1.07 (* end of lemma zenon_L395_ *) % 0.87/1.07 assert (zenon_L396_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a820))) -> (~(c3_1 (a820))) -> (c0_1 (a820)) -> (~(hskp12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H2ae zenon_H14c zenon_H255 zenon_H1dc zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1bf zenon_H1c0 zenon_H1b7 zenon_Hcc zenon_Hd0 zenon_H1a zenon_H299 zenon_H298 zenon_H297 zenon_Hb zenon_H296. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.87/1.07 apply (zenon_L361_); trivial. % 0.87/1.07 apply (zenon_L395_); trivial. % 0.87/1.07 (* end of lemma zenon_L396_ *) % 0.87/1.07 assert (zenon_L397_ : ((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))))))\/(hskp2))) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (~(hskp1)) -> (~(hskp22)) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.87/1.07 do 0 intro. intros zenon_H19c zenon_He9 zenon_Hd0 zenon_H7d zenon_H6b zenon_H6a zenon_Hcc zenon_Hce zenon_H1be zenon_H1bf zenon_H1c0 zenon_H24f zenon_H94 zenon_H93 zenon_H92 zenon_H1a zenon_H19a. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H19d ]. % 0.87/1.07 apply (zenon_L217_); trivial. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H91 | zenon_intro zenon_H19b ]. % 0.87/1.07 apply (zenon_L38_); trivial. % 0.87/1.07 exact (zenon_H19a zenon_H19b). % 0.87/1.07 (* end of lemma zenon_L397_ *) % 0.87/1.07 assert (zenon_L398_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c1_1 (a820))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> ((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))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H14c zenon_H255 zenon_H1dc zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H299 zenon_H297 zenon_H298 zenon_H19c zenon_H19a zenon_H94 zenon_H93 zenon_H92 zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H1ff zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H31 zenon_H147 zenon_H118 zenon_H11a zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.07 apply (zenon_L397_); trivial. % 0.87/1.07 apply (zenon_L202_); trivial. % 0.87/1.07 apply (zenon_L394_); trivial. % 0.87/1.07 (* end of lemma zenon_L398_ *) % 0.87/1.07 assert (zenon_L399_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H77 zenon_H14d zenon_H122 zenon_H59 zenon_H1b7 zenon_H200 zenon_H230 zenon_H22f zenon_H22e zenon_H11a zenon_H147 zenon_H31 zenon_H4d zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H1d zenon_H2a zenon_H1e zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H11d zenon_H14c. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.07 apply (zenon_L312_); trivial. % 0.87/1.07 apply (zenon_L220_); trivial. % 0.87/1.07 (* end of lemma zenon_L399_ *) % 0.87/1.07 assert (zenon_L400_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((hskp7)\/((hskp5)\/(hskp13))) -> (~(hskp5)) -> (~(hskp7)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H1a1 zenon_H86 zenon_H9b zenon_H9e zenon_Ha2 zenon_H7 zenon_H3 zenon_H1 zenon_Hf zenon_Hd zenon_H14c zenon_H11d zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H24f zenon_H4d zenon_H31 zenon_H147 zenon_H11a zenon_H22e zenon_H22f zenon_H230 zenon_H200 zenon_H1b7 zenon_H59 zenon_H122 zenon_H14d zenon_H83 zenon_Ha3. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_L8_); trivial. % 0.87/1.07 apply (zenon_L399_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_L41_); trivial. % 0.87/1.07 apply (zenon_L399_); trivial. % 0.87/1.07 (* end of lemma zenon_L400_ *) % 0.87/1.07 assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((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))))))\/(hskp2))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp2)) -> False). % 0.87/1.07 do 0 intro. intros zenon_H19e zenon_H19c zenon_H1c0 zenon_H1bf zenon_H1be zenon_H22e zenon_H22f zenon_H230 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1b7 zenon_H19a. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H19d ]. % 0.87/1.07 apply (zenon_L315_); trivial. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H91 | zenon_intro zenon_H19b ]. % 0.87/1.07 apply (zenon_L38_); trivial. % 0.87/1.07 exact (zenon_H19a zenon_H19b). % 0.87/1.07 (* end of lemma zenon_L401_ *) % 0.87/1.07 assert (zenon_L402_ : ((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((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))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> (~(c1_1 (a820))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H1ba zenon_H1a1 zenon_H19c zenon_H19a zenon_H1be zenon_H1bf zenon_H1c0 zenon_H296 zenon_H297 zenon_H298 zenon_H299 zenon_H22e zenon_H22f zenon_H230 zenon_H1b7 zenon_H2ae. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.87/1.07 apply (zenon_L388_); trivial. % 0.87/1.07 apply (zenon_L401_); trivial. % 0.87/1.07 (* end of lemma zenon_L402_ *) % 0.87/1.07 assert (zenon_L403_ : (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (~(c0_1 (a827))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> False). % 0.87/1.07 do 0 intro. intros zenon_Hf4 zenon_H1a zenon_H1a6 zenon_H25e zenon_H260 zenon_H25f. % 0.87/1.07 generalize (zenon_Hf4 (a827)). zenon_intro zenon_H2b7. % 0.87/1.07 apply (zenon_imply_s _ _ zenon_H2b7); [ zenon_intro zenon_H19 | zenon_intro zenon_H2b8 ]. % 0.87/1.07 exact (zenon_H19 zenon_H1a). % 0.87/1.07 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H263 ]. % 0.87/1.07 generalize (zenon_H1a6 (a827)). zenon_intro zenon_H2ba. % 0.87/1.07 apply (zenon_imply_s _ _ zenon_H2ba); [ zenon_intro zenon_H19 | zenon_intro zenon_H2bb ]. % 0.87/1.07 exact (zenon_H19 zenon_H1a). % 0.87/1.07 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H264 | zenon_intro zenon_H2bc ]. % 0.87/1.07 exact (zenon_H25e zenon_H264). % 0.87/1.07 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H265 | zenon_intro zenon_H2bd ]. % 0.87/1.07 exact (zenon_H265 zenon_H260). % 0.87/1.07 exact (zenon_H2bd zenon_H2b9). % 0.87/1.07 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H266 | zenon_intro zenon_H265 ]. % 0.87/1.07 exact (zenon_H266 zenon_H25f). % 0.87/1.07 exact (zenon_H265 zenon_H260). % 0.87/1.07 (* end of lemma zenon_L403_ *) % 0.87/1.07 assert (zenon_L404_ : ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> (~(c0_1 (a827))) -> (forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp7)) -> False). % 0.87/1.07 do 0 intro. intros zenon_Hf2 zenon_H25f zenon_H260 zenon_H25e zenon_H1a6 zenon_H1a zenon_H9 zenon_H1. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ]. % 0.87/1.07 apply (zenon_L403_); trivial. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Ha | zenon_intro zenon_H2 ]. % 0.87/1.07 exact (zenon_H9 zenon_Ha). % 0.87/1.07 exact (zenon_H1 zenon_H2). % 0.87/1.07 (* end of lemma zenon_L404_ *) % 0.87/1.07 assert (zenon_L405_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (~(c0_1 (a827))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp14)) -> ((hskp14)\/(hskp24)) -> False). % 0.87/1.07 do 0 intro. intros zenon_Ha2 zenon_H1b7 zenon_H230 zenon_H22f zenon_H22e zenon_H25e zenon_H260 zenon_H25f zenon_H1 zenon_Hf2 zenon_H9 zenon_H86. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H84 | zenon_intro zenon_H9d ]. % 0.87/1.07 apply (zenon_L36_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H8a. zenon_intro zenon_Ha0. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H88. zenon_intro zenon_H89. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.87/1.07 apply (zenon_L404_); trivial. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.87/1.07 apply (zenon_L184_); trivial. % 0.87/1.07 apply (zenon_L114_); trivial. % 0.87/1.07 (* end of lemma zenon_L405_ *) % 0.87/1.07 assert (zenon_L406_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((hskp14)\/(hskp24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a827)) -> (c2_1 (a827)) -> (~(c0_1 (a827))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H18c zenon_Hfa zenon_H59 zenon_H246 zenon_H247 zenon_H248 zenon_H31 zenon_H48 zenon_H46 zenon_H253 zenon_H1dc zenon_H1de zenon_H189 zenon_H86 zenon_Hf2 zenon_H1 zenon_H25f zenon_H260 zenon_H25e zenon_H22e zenon_H22f zenon_H230 zenon_H1b7 zenon_Ha2. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_L405_); trivial. % 0.87/1.07 apply (zenon_L385_); trivial. % 0.87/1.07 (* end of lemma zenon_L406_ *) % 0.87/1.07 assert (zenon_L407_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834))))))) -> ((hskp14)\/(hskp24)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> False). % 0.87/1.07 do 0 intro. intros zenon_H237 zenon_H86 zenon_H1b7 zenon_Ha3 zenon_H83 zenon_H18f zenon_H18c zenon_H1dc zenon_H1de zenon_Ha2 zenon_Hfa zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H26c zenon_H26a zenon_H155 zenon_Hc1 zenon_H189 zenon_H21d zenon_H15 zenon_H1ef zenon_H177 zenon_H160 zenon_H46 zenon_H31 zenon_H48 zenon_H59 zenon_H122 zenon_H4d zenon_H25e zenon_H25f zenon_H260 zenon_H11a zenon_H229 zenon_H127 zenon_Hf2 zenon_H135 zenon_H147 zenon_H14d zenon_H1 zenon_H3 zenon_H7 zenon_H1b9. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_L232_); trivial. % 0.87/1.07 apply (zenon_L377_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.87/1.07 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.07 apply (zenon_L4_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.07 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.07 apply (zenon_L232_); trivial. % 0.87/1.07 apply (zenon_L384_); trivial. % 0.87/1.07 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.87/1.08 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.08 apply (zenon_L4_); trivial. % 0.87/1.08 apply (zenon_L406_); trivial. % 0.87/1.08 (* end of lemma zenon_L407_ *) % 0.87/1.08 assert (zenon_L408_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((hskp14)\/(hskp24)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp12)\/(hskp13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> (~(c1_1 (a820))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> (ndr1_0) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834))))))) -> False). % 0.87/1.08 do 0 intro. intros zenon_H203 zenon_H86 zenon_H1a2 zenon_H296 zenon_H297 zenon_H298 zenon_H299 zenon_H1b7 zenon_H2ae zenon_Hf zenon_H14c zenon_H198 zenon_H19a zenon_H19c zenon_H1a1 zenon_H1b9 zenon_H229 zenon_H83 zenon_H18f zenon_Ha2 zenon_H26c zenon_H26a zenon_Hc1 zenon_H189 zenon_H21d zenon_H1ef zenon_H177 zenon_H14d zenon_H59 zenon_H160 zenon_H46 zenon_H48 zenon_H155 zenon_H1de zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_Hfa zenon_H18c zenon_H1a zenon_H20a zenon_H20b zenon_H20c zenon_H213 zenon_H5f zenon_H31 zenon_H4d zenon_H17 zenon_Hab zenon_H7a zenon_H78 zenon_Ha3 zenon_H237. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.87/1.08 apply (zenon_L258_); trivial. % 0.87/1.08 apply (zenon_L371_); trivial. % 0.87/1.08 (* end of lemma zenon_L408_ *) % 0.87/1.08 assert (zenon_L409_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> (~(c0_1 (a830))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.08 do 0 intro. intros zenon_H2ab zenon_H14d zenon_H20a zenon_H20b zenon_H20c zenon_H1be zenon_H147 zenon_H4d zenon_Hd0 zenon_Hcc zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H24f zenon_H1e zenon_H2a zenon_H1d zenon_H1c0 zenon_H1bf zenon_H7d zenon_H6b zenon_H6a zenon_H253 zenon_H11a zenon_H11d zenon_H122 zenon_H14c. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.08 apply (zenon_L390_); trivial. % 0.87/1.08 apply (zenon_L284_); trivial. % 0.87/1.08 (* end of lemma zenon_L409_ *) % 0.87/1.08 assert (zenon_L410_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> (~(c0_1 (a830))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> (~(c1_1 (a820))) -> (~(c3_1 (a820))) -> (c0_1 (a820)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> False). % 0.87/1.08 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H2ae zenon_H14d zenon_H20a zenon_H20b zenon_H20c zenon_H1be zenon_H147 zenon_H4d zenon_Hd0 zenon_Hcc zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H24f zenon_H1c0 zenon_H1bf zenon_H253 zenon_H11a zenon_H11d zenon_H122 zenon_H14c zenon_H299 zenon_H298 zenon_H297 zenon_H296 zenon_Hb zenon_Hd zenon_Hf. % 0.87/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.08 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.08 apply (zenon_L8_); trivial. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.87/1.08 apply (zenon_L361_); trivial. % 0.87/1.08 apply (zenon_L409_); trivial. % 0.87/1.08 (* end of lemma zenon_L410_ *) % 0.87/1.08 assert (zenon_L411_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((hskp14)\/(hskp24)) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.87/1.08 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H78 zenon_H7a zenon_H14c zenon_H11d zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H24f zenon_H17 zenon_H15 zenon_H4d zenon_H31 zenon_H147 zenon_H11a zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122 zenon_H14d zenon_H86 zenon_H92 zenon_H93 zenon_H94 zenon_H9b zenon_H9e zenon_Ha2. % 0.87/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.08 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.08 apply (zenon_L41_); trivial. % 0.87/1.08 apply (zenon_L287_); trivial. % 0.87/1.08 (* end of lemma zenon_L411_ *) % 0.87/1.08 assert (zenon_L412_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.87/1.08 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H78 zenon_H7a zenon_H11d zenon_H17 zenon_H15 zenon_H4d zenon_H31 zenon_H147 zenon_H1b7 zenon_H59 zenon_H5f zenon_H86 zenon_H9b zenon_H9e zenon_Ha2 zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H18c zenon_H14d zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H229 zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H24f zenon_H272 zenon_H122 zenon_Hfa zenon_H11a zenon_H200 zenon_H1de zenon_H285 zenon_H1da zenon_H19a zenon_H25c zenon_H1f3 zenon_H83. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.08 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.08 apply (zenon_L299_); trivial. % 0.87/1.08 apply (zenon_L411_); trivial. % 0.87/1.08 (* end of lemma zenon_L412_ *) % 0.87/1.08 assert (zenon_L413_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c2_1 (a860))) -> (~(c1_1 (a860))) -> (~(c0_1 (a860))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp0)) -> False). % 0.87/1.08 do 0 intro. intros zenon_H255 zenon_Hfe zenon_Hfd zenon_Hfc zenon_Hd zenon_H21b zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1e zenon_H1d zenon_H1a zenon_He9 zenon_H21d zenon_H1dc. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.87/1.08 apply (zenon_L66_); trivial. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.87/1.08 apply (zenon_L290_); trivial. % 0.87/1.08 exact (zenon_H1dc zenon_H1dd). % 0.87/1.08 (* end of lemma zenon_L413_ *) % 0.87/1.08 assert (zenon_L414_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a839)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.87/1.08 do 0 intro. intros zenon_H121 zenon_H122 zenon_H4d zenon_H25e zenon_H25f zenon_H260 zenon_H11a zenon_H118 zenon_H2a zenon_H229 zenon_H21d zenon_Hd zenon_H21b zenon_H1bf zenon_H1c0 zenon_H1d zenon_H1e zenon_H24f zenon_H1dc zenon_H255. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.08 apply (zenon_L413_); trivial. % 0.87/1.08 apply (zenon_L230_); trivial. % 0.87/1.08 (* end of lemma zenon_L414_ *) % 0.87/1.08 assert (zenon_L415_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (c1_1 (a839)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.08 do 0 intro. intros zenon_H77 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H21d zenon_Hd zenon_H21b zenon_H1d zenon_H1e zenon_H1dc zenon_H255 zenon_H2a zenon_H4d zenon_H14c. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.08 apply (zenon_L291_); trivial. % 0.87/1.08 apply (zenon_L233_); trivial. % 0.87/1.08 apply (zenon_L414_); trivial. % 0.87/1.08 apply (zenon_L234_); trivial. % 0.87/1.08 (* end of lemma zenon_L415_ *) % 0.87/1.08 assert (zenon_L416_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> False). % 0.87/1.08 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H21d zenon_H21b zenon_H1dc zenon_H255 zenon_H4d zenon_H14c zenon_Hb zenon_Hd zenon_Hf. % 0.87/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.08 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.08 apply (zenon_L8_); trivial. % 0.87/1.08 apply (zenon_L415_); trivial. % 0.87/1.08 (* end of lemma zenon_L416_ *) % 0.87/1.08 assert (zenon_L417_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.87/1.08 do 0 intro. intros zenon_Ha3 zenon_H21d zenon_H21b zenon_H4d zenon_Hb zenon_Hd zenon_Hf zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H1a zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H24f zenon_H25e zenon_H25f zenon_H260 zenon_H11a zenon_H229 zenon_H122 zenon_H14d zenon_H83. % 0.87/1.08 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.08 apply (zenon_L351_); trivial. % 0.87/1.08 apply (zenon_L416_); trivial. % 0.87/1.08 (* end of lemma zenon_L417_ *) % 0.87/1.08 assert (zenon_L418_ : (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c3_1 (a838))) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48)))))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> False). % 0.87/1.08 do 0 intro. intros zenon_Hf4 zenon_H1a zenon_H92 zenon_H17a zenon_H93 zenon_H94. % 0.87/1.08 generalize (zenon_Hf4 (a838)). zenon_intro zenon_H2be. % 0.87/1.08 apply (zenon_imply_s _ _ zenon_H2be); [ zenon_intro zenon_H19 | zenon_intro zenon_H2bf ]. % 0.87/1.08 exact (zenon_H19 zenon_H1a). % 0.87/1.08 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H98 | zenon_intro zenon_H2c0 ]. % 0.87/1.08 exact (zenon_H92 zenon_H98). % 0.87/1.08 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H99 ]. % 0.87/1.08 generalize (zenon_H17a (a838)). zenon_intro zenon_H2c2. % 0.87/1.08 apply (zenon_imply_s _ _ zenon_H2c2); [ zenon_intro zenon_H19 | zenon_intro zenon_H2c3 ]. % 0.87/1.08 exact (zenon_H19 zenon_H1a). % 0.87/1.08 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2c4 | zenon_intro zenon_H97 ]. % 0.87/1.08 exact (zenon_H2c1 zenon_H2c4). % 0.87/1.08 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ]. % 0.87/1.08 exact (zenon_H9a zenon_H93). % 0.87/1.08 exact (zenon_H99 zenon_H94). % 0.87/1.08 exact (zenon_H99 zenon_H94). % 0.87/1.08 (* end of lemma zenon_L418_ *) % 0.87/1.08 assert (zenon_L419_ : ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48)))))) -> (~(c3_1 (a838))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp7)) -> False). % 0.87/1.08 do 0 intro. intros zenon_Hf2 zenon_H94 zenon_H93 zenon_H17a zenon_H92 zenon_H1a zenon_H9 zenon_H1. % 0.87/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ]. % 0.87/1.08 apply (zenon_L418_); trivial. % 0.87/1.08 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Ha | zenon_intro zenon_H2 ]. % 0.87/1.08 exact (zenon_H9 zenon_Ha). % 0.87/1.08 exact (zenon_H1 zenon_H2). % 0.87/1.08 (* end of lemma zenon_L419_ *) % 0.87/1.08 assert (zenon_L420_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c0_1 (a827))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(hskp7)) -> (~(hskp14)) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.87/1.08 do 0 intro. intros zenon_H1b7 zenon_H25e zenon_H260 zenon_H25f zenon_H1 zenon_H9 zenon_H92 zenon_H93 zenon_H94 zenon_Hf2 zenon_Hfb zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.87/1.08 apply (zenon_L404_); trivial. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.87/1.08 apply (zenon_L419_); trivial. % 0.87/1.08 apply (zenon_L216_); trivial. % 0.87/1.08 (* end of lemma zenon_L420_ *) % 0.87/1.08 assert (zenon_L421_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> (c1_1 (a839)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> (ndr1_0) -> (~(c0_1 (a827))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.87/1.08 do 0 intro. intros zenon_H122 zenon_H4d zenon_H11a zenon_H118 zenon_H2a zenon_H229 zenon_H1b7 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H92 zenon_H93 zenon_H94 zenon_H1a zenon_H25e zenon_H260 zenon_H25f zenon_H9 zenon_H1 zenon_Hf2 zenon_H21d zenon_Hd zenon_H21b zenon_H1d zenon_H1e zenon_H24f zenon_H1dc zenon_H255. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.87/1.08 apply (zenon_L420_); trivial. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.87/1.08 apply (zenon_L290_); trivial. % 0.87/1.08 exact (zenon_H1dc zenon_H1dd). % 0.87/1.08 apply (zenon_L230_); trivial. % 0.87/1.08 (* end of lemma zenon_L421_ *) % 0.87/1.08 assert (zenon_L422_ : ((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((hskp14)\/(hskp24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a827)) -> (c2_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.87/1.08 do 0 intro. intros zenon_H238 zenon_H83 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c zenon_H86 zenon_Hf2 zenon_H1 zenon_H25f zenon_H260 zenon_H25e zenon_H1b7 zenon_Ha2. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.08 apply (zenon_L405_); trivial. % 0.87/1.08 apply (zenon_L350_); trivial. % 0.87/1.08 (* end of lemma zenon_L422_ *) % 0.87/1.08 assert (zenon_L423_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((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))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (c3_1 (a831)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.87/1.08 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H4d zenon_H19c zenon_H19a zenon_H94 zenon_H93 zenon_H92 zenon_H16e zenon_H16d zenon_H16f zenon_H198 zenon_H14c. % 0.87/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.87/1.08 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.87/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.08 apply (zenon_L101_); trivial. % 0.87/1.08 apply (zenon_L235_); trivial. % 0.87/1.08 (* end of lemma zenon_L423_ *) % 0.87/1.08 assert (zenon_L424_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((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))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (c3_1 (a831)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.87/1.08 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H4d zenon_H19c zenon_H19a zenon_H16e zenon_H16d zenon_H16f zenon_H198 zenon_H213 zenon_H20c zenon_H20b zenon_H20a zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H24f zenon_H25e zenon_H25f zenon_H260 zenon_H11a zenon_H229 zenon_H122 zenon_H14d zenon_H83. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.87/1.08 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.87/1.08 apply (zenon_L351_); trivial. % 0.87/1.08 apply (zenon_L423_); trivial. % 0.87/1.08 (* end of lemma zenon_L424_ *) % 0.87/1.08 assert (zenon_L425_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a817))) -> (~(c1_1 (a817))) -> (~(c3_1 (a817))) -> False). % 0.87/1.08 do 0 intro. intros zenon_H162 zenon_H1a zenon_H2c5 zenon_H2c6 zenon_H2c7. % 0.87/1.08 generalize (zenon_H162 (a817)). zenon_intro zenon_H2c8. % 0.87/1.08 apply (zenon_imply_s _ _ zenon_H2c8); [ zenon_intro zenon_H19 | zenon_intro zenon_H2c9 ]. % 0.87/1.08 exact (zenon_H19 zenon_H1a). % 0.87/1.08 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2ca ]. % 0.87/1.08 exact (zenon_H2c5 zenon_H2cb). % 0.87/1.08 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2cc ]. % 0.87/1.08 exact (zenon_H2c6 zenon_H2cd). % 0.87/1.08 exact (zenon_H2c7 zenon_H2cc). % 0.87/1.08 (* end of lemma zenon_L425_ *) % 0.87/1.08 assert (zenon_L426_ : (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c3_1 (a817))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c0_1 (a817))) -> (c2_1 (a817)) -> False). % 0.87/1.08 do 0 intro. intros zenon_Hf4 zenon_H1a zenon_H2c7 zenon_H162 zenon_H2c5 zenon_H2ce. % 0.87/1.08 generalize (zenon_Hf4 (a817)). zenon_intro zenon_H2cf. % 0.87/1.08 apply (zenon_imply_s _ _ zenon_H2cf); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d0 ]. % 0.87/1.08 exact (zenon_H19 zenon_H1a). % 0.87/1.08 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2cc | zenon_intro zenon_H2d1 ]. % 0.87/1.08 exact (zenon_H2c7 zenon_H2cc). % 0.87/1.08 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d2 ]. % 0.87/1.08 apply (zenon_L425_); trivial. % 0.87/1.08 exact (zenon_H2d2 zenon_H2ce). % 0.87/1.08 (* end of lemma zenon_L426_ *) % 0.87/1.08 assert (zenon_L427_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (ndr1_0) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (c2_1 (a817)) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> False). % 0.87/1.08 do 0 intro. intros zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a zenon_H2c7 zenon_H2c5 zenon_H2ce zenon_H9 zenon_H1 zenon_Hf2. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.87/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ]. % 0.87/1.08 apply (zenon_L426_); trivial. % 0.87/1.08 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Ha | zenon_intro zenon_H2 ]. % 0.87/1.08 exact (zenon_H9 zenon_Ha). % 0.87/1.08 exact (zenon_H1 zenon_H2). % 0.87/1.08 apply (zenon_L91_); trivial. % 0.87/1.08 (* end of lemma zenon_L427_ *) % 0.87/1.08 assert (zenon_L428_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a817)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> False). % 0.87/1.08 do 0 intro. intros zenon_H1f4 zenon_H83 zenon_H18f zenon_H189 zenon_H59 zenon_H160 zenon_H46 zenon_H48 zenon_H155 zenon_H18c zenon_Hf2 zenon_H1 zenon_H2ce zenon_H2c5 zenon_H2c7 zenon_H177. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.87/1.08 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.87/1.08 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.87/1.08 apply (zenon_L427_); trivial. % 0.87/1.08 apply (zenon_L96_); trivial. % 0.87/1.08 (* end of lemma zenon_L428_ *) % 0.87/1.08 assert (zenon_L429_ : ((ndr1_0)/\((c1_1 (a825))/\((c3_1 (a825))/\(~(c0_1 (a825)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (c2_1 (a817)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834))))))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp7)\/(hskp4))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> False). % 0.87/1.08 do 0 intro. intros zenon_H2d3 zenon_H2d4 zenon_H200 zenon_H1ff zenon_H1d8 zenon_H198 zenon_Hcc zenon_Hd0 zenon_H11d zenon_H14c zenon_H203 zenon_Hf2 zenon_H2ce zenon_H2c5 zenon_H2c7 zenon_H1b9 zenon_H229 zenon_H83 zenon_H18f zenon_H1f3 zenon_H78 zenon_H79 zenon_H21f zenon_H14d zenon_H177 zenon_H1ef zenon_H21d zenon_H189 zenon_H17 zenon_H11a zenon_H5f zenon_H1da zenon_H59 zenon_H160 zenon_H48 zenon_H155 zenon_H1de zenon_H1dc zenon_He5 zenon_Hfa zenon_H18c zenon_H213 zenon_H31 zenon_H4d zenon_Hc1 zenon_Hab zenon_H7a zenon_Ha3 zenon_H237 zenon_H1c7 zenon_H1c9 zenon_H206. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.08 apply (zenon_L186_); trivial. % 0.92/1.08 apply (zenon_L428_); trivial. % 0.92/1.08 apply (zenon_L160_); trivial. % 0.92/1.08 apply (zenon_L357_); trivial. % 0.92/1.08 (* end of lemma zenon_L429_ *) % 0.92/1.08 assert (zenon_L430_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (ndr1_0) -> (~(c2_1 (a854))) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (c1_1 (a854)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H230 zenon_H22f zenon_H22e zenon_H1a zenon_H62 zenon_H4a zenon_H63. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.92/1.08 apply (zenon_L112_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.92/1.08 apply (zenon_L184_); trivial. % 0.92/1.08 apply (zenon_L139_); trivial. % 0.92/1.08 (* end of lemma zenon_L430_ *) % 0.92/1.08 assert (zenon_L431_ : ((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a854))) -> (~(hskp9)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (~(c2_1 (a854))) -> (c1_1 (a854)) -> False). % 0.92/1.08 do 0 intro. intros zenon_He4 zenon_H7a zenon_H61 zenon_H15 zenon_H48 zenon_H46 zenon_H1d zenon_H2a zenon_H1e zenon_He5 zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H230 zenon_H22f zenon_H22e zenon_H62 zenon_H63. % 0.92/1.08 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.92/1.08 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.92/1.08 apply (zenon_L30_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.92/1.08 apply (zenon_L143_); trivial. % 0.92/1.08 apply (zenon_L430_); trivial. % 0.92/1.08 (* end of lemma zenon_L431_ *) % 0.92/1.08 assert (zenon_L432_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp9)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H7e zenon_Hfa zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H22e zenon_H22f zenon_H230 zenon_H1b7 zenon_H15 zenon_He5 zenon_H7a zenon_H2a zenon_H1d zenon_H1e zenon_Hab zenon_H48 zenon_H46 zenon_Hc1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.92/1.08 apply (zenon_L52_); trivial. % 0.92/1.08 apply (zenon_L431_); trivial. % 0.92/1.08 (* end of lemma zenon_L432_ *) % 0.92/1.08 assert (zenon_L433_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Ha4 zenon_H78 zenon_Hfa zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H22e zenon_H22f zenon_H230 zenon_H1b7 zenon_He5 zenon_H7a zenon_Hab zenon_Hc1 zenon_H17 zenon_H15 zenon_H4d zenon_H46 zenon_H48 zenon_H31 zenon_H59 zenon_H5f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.08 apply (zenon_L29_); 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_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp14)\/(hskp24)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1b9 zenon_Hfa zenon_H22e zenon_H22f zenon_H230 zenon_H1b7 zenon_He5 zenon_Hab zenon_Hc1 zenon_Ha3 zenon_H83 zenon_H78 zenon_H79 zenon_H7a zenon_H17 zenon_H15 zenon_H4d zenon_H46 zenon_H48 zenon_H31 zenon_H59 zenon_H5f zenon_Hf zenon_H1 zenon_H3 zenon_H7 zenon_Ha2 zenon_H9e zenon_H9b zenon_H86 zenon_H1a1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.08 apply (zenon_L359_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.08 apply (zenon_L4_); trivial. % 0.92/1.08 apply (zenon_L433_); trivial. % 0.92/1.08 (* end of lemma zenon_L434_ *) % 0.92/1.08 assert (zenon_L435_ : ((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp14)\/(hskp24)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H238 zenon_H1b9 zenon_Hfa zenon_H1b7 zenon_He5 zenon_Hab zenon_Hc1 zenon_Ha3 zenon_H83 zenon_H78 zenon_H79 zenon_H7a zenon_H17 zenon_H15 zenon_H4d zenon_H46 zenon_H48 zenon_H31 zenon_H59 zenon_H5f zenon_Hf zenon_H1 zenon_H3 zenon_H7 zenon_Ha2 zenon_H9e zenon_H9b zenon_H86 zenon_H1a1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.92/1.08 apply (zenon_L434_); trivial. % 0.92/1.08 (* end of lemma zenon_L435_ *) % 0.92/1.08 assert (zenon_L436_ : (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35)))))) -> (ndr1_0) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2d7 zenon_H1a zenon_H2c5 zenon_H2c7 zenon_H2ce. % 0.92/1.08 generalize (zenon_H2d7 (a817)). zenon_intro zenon_H2d8. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2d8); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d9 ]. % 0.92/1.08 exact (zenon_H19 zenon_H1a). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2da ]. % 0.92/1.08 exact (zenon_H2c5 zenon_H2cb). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2cc | zenon_intro zenon_H2d2 ]. % 0.92/1.08 exact (zenon_H2c7 zenon_H2cc). % 0.92/1.08 exact (zenon_H2d2 zenon_H2ce). % 0.92/1.08 (* end of lemma zenon_L436_ *) % 0.92/1.08 assert (zenon_L437_ : ((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(hskp22)) -> (~(hskp1)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H132 zenon_H2db zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_Hce zenon_Hcc zenon_H1bf zenon_H1c0 zenon_Hd0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H1a. zenon_intro zenon_H133. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12a. zenon_intro zenon_H134. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H12b. zenon_intro zenon_H129. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2dc ]. % 0.92/1.08 apply (zenon_L436_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hf4 ]. % 0.92/1.08 apply (zenon_L149_); trivial. % 0.92/1.08 apply (zenon_L75_); trivial. % 0.92/1.08 (* end of lemma zenon_L437_ *) % 0.92/1.08 assert (zenon_L438_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H135 zenon_H2db zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hce zenon_Hd0 zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_He9 zenon_H3 zenon_H127. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H125 | zenon_intro zenon_H132 ]. % 0.92/1.08 apply (zenon_L74_); trivial. % 0.92/1.08 apply (zenon_L437_); trivial. % 0.92/1.08 (* end of lemma zenon_L438_ *) % 0.92/1.08 assert (zenon_L439_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp22)) -> (~(hskp1)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H11a zenon_H118 zenon_H147 zenon_H31 zenon_H2a zenon_H1e zenon_H1d zenon_H4d zenon_H13 zenon_H15 zenon_H17 zenon_H127 zenon_H3 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_Hd0 zenon_Hce zenon_Hcc zenon_H1c0 zenon_H1bf zenon_H2db zenon_H135. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.08 apply (zenon_L438_); trivial. % 0.92/1.08 apply (zenon_L199_); trivial. % 0.92/1.08 (* end of lemma zenon_L439_ *) % 0.92/1.08 assert (zenon_L440_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(hskp5)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H14c zenon_H11d zenon_H253 zenon_H6a zenon_H6b zenon_H7d zenon_H24f zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H135 zenon_H2db zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hd0 zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H3 zenon_H127 zenon_H17 zenon_H15 zenon_H13 zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H31 zenon_H147 zenon_H118 zenon_H11a zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.08 apply (zenon_L439_); trivial. % 0.92/1.08 apply (zenon_L214_); trivial. % 0.92/1.08 (* end of lemma zenon_L440_ *) % 0.92/1.08 assert (zenon_L441_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(hskp5)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> (~(c0_1 (a830))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H77 zenon_H78 zenon_H7a zenon_H14c zenon_H11d zenon_H253 zenon_H24f zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H135 zenon_H2db zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hd0 zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H3 zenon_H127 zenon_H17 zenon_H15 zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H31 zenon_H147 zenon_H11a zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122 zenon_H1be zenon_H14d. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.08 apply (zenon_L440_); trivial. % 0.92/1.08 apply (zenon_L220_); trivial. % 0.92/1.08 apply (zenon_L221_); trivial. % 0.92/1.08 (* end of lemma zenon_L441_ *) % 0.92/1.08 assert (zenon_L442_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a817))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H225 zenon_H1a zenon_H2c5 zenon_H162 zenon_H2c7 zenon_H2ce. % 0.92/1.08 generalize (zenon_H225 (a817)). zenon_intro zenon_H2dd. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2dd); [ zenon_intro zenon_H19 | zenon_intro zenon_H2de ]. % 0.92/1.08 exact (zenon_H19 zenon_H1a). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2d1 ]. % 0.92/1.08 exact (zenon_H2c5 zenon_H2cb). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d2 ]. % 0.92/1.08 apply (zenon_L425_); trivial. % 0.92/1.08 exact (zenon_H2d2 zenon_H2ce). % 0.92/1.08 (* end of lemma zenon_L442_ *) % 0.92/1.08 assert (zenon_L443_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> (~(c0_1 (a817))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a862)) -> (c0_1 (a862)) -> (~(c1_1 (a862))) -> (ndr1_0) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H4d zenon_H11a zenon_H118 zenon_H2c5 zenon_H162 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H107 zenon_H106 zenon_H105 zenon_H1a zenon_H1d zenon_H2a zenon_H1e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.92/1.08 apply (zenon_L442_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.92/1.08 apply (zenon_L191_); trivial. % 0.92/1.08 apply (zenon_L229_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.92/1.08 apply (zenon_L67_); trivial. % 0.92/1.08 apply (zenon_L24_); trivial. % 0.92/1.08 (* end of lemma zenon_L443_ *) % 0.92/1.08 assert (zenon_L444_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H11c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H229 zenon_H2a zenon_H1e zenon_H1d zenon_H118 zenon_H11a zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H4d. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.08 apply (zenon_L443_); trivial. % 0.92/1.08 apply (zenon_L91_); trivial. % 0.92/1.08 (* end of lemma zenon_L444_ *) % 0.92/1.08 assert (zenon_L445_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a839)) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H122 zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H229 zenon_H2a zenon_H118 zenon_H11a zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H4d zenon_H24f zenon_H6a zenon_H6b zenon_H7d zenon_Hcc zenon_Hce zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H21d zenon_Hd zenon_H21b zenon_H1d zenon_H1e zenon_H1dc zenon_H255. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.08 apply (zenon_L291_); trivial. % 0.92/1.08 apply (zenon_L444_); trivial. % 0.92/1.08 (* end of lemma zenon_L445_ *) % 0.92/1.08 assert (zenon_L446_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a839)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H77 zenon_H14d zenon_H147 zenon_H122 zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H229 zenon_H2a zenon_H11a zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H4d zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H21d zenon_Hd zenon_H21b zenon_H1d zenon_H1e zenon_H1dc zenon_H255 zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_H11d zenon_H14c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.08 apply (zenon_L445_); trivial. % 0.92/1.08 apply (zenon_L214_); trivial. % 0.92/1.08 apply (zenon_L220_); trivial. % 0.92/1.08 (* end of lemma zenon_L446_ *) % 0.92/1.08 assert (zenon_L447_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((hskp7)\/((hskp5)\/(hskp13))) -> (~(hskp5)) -> (~(hskp7)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1a1 zenon_H86 zenon_H9b zenon_H9e zenon_Ha2 zenon_H7 zenon_H3 zenon_H1 zenon_Hf zenon_Hd zenon_H14c zenon_H11d zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H255 zenon_H1dc zenon_H21b zenon_H21d zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H24f zenon_H4d zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H11a zenon_H229 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H122 zenon_H147 zenon_H14d zenon_H83 zenon_Ha3. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.08 apply (zenon_L4_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.08 apply (zenon_L8_); trivial. % 0.92/1.08 apply (zenon_L446_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.08 apply (zenon_L4_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.08 apply (zenon_L41_); 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_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18)))))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H29 zenon_H1a zenon_H60 zenon_H1d zenon_H2a zenon_H1e. % 0.92/1.08 generalize (zenon_H29 (a839)). zenon_intro zenon_H2b. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H19 | zenon_intro zenon_H2c ]. % 0.92/1.08 exact (zenon_H19 zenon_H1a). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H1c | zenon_intro zenon_H2d ]. % 0.92/1.08 generalize (zenon_H60 (a839)). zenon_intro zenon_H2df. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H2df); [ zenon_intro zenon_H19 | zenon_intro zenon_H2e0 ]. % 0.92/1.08 exact (zenon_H19 zenon_H1a). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H22 | zenon_intro zenon_H2e1 ]. % 0.92/1.08 exact (zenon_H1c zenon_H22). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H24 | zenon_intro zenon_H2e ]. % 0.92/1.08 exact (zenon_H1d zenon_H24). % 0.92/1.08 exact (zenon_H2e zenon_H2a). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H2e | zenon_intro zenon_H23 ]. % 0.92/1.08 exact (zenon_H2e zenon_H2a). % 0.92/1.08 exact (zenon_H23 zenon_H1e). % 0.92/1.08 (* end of lemma zenon_L448_ *) % 0.92/1.08 assert (zenon_L449_ : ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp23)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18)))))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H28d zenon_He9 zenon_H6a zenon_H6b zenon_H1ff zenon_H11 zenon_H1c0 zenon_H1bf zenon_H24f zenon_H1e zenon_H2a zenon_H1d zenon_H60 zenon_H1a zenon_H15e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H73 | zenon_intro zenon_H28e ]. % 0.92/1.08 apply (zenon_L321_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H29 | zenon_intro zenon_H15f ]. % 0.92/1.08 apply (zenon_L448_); trivial. % 0.92/1.08 exact (zenon_H15e zenon_H15f). % 0.92/1.08 (* end of lemma zenon_L449_ *) % 0.92/1.08 assert (zenon_L450_ : ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (c0_1 (a842)) -> (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (~(c2_1 (a842))) -> (c3_1 (a833)) -> (c1_1 (a833)) -> (c0_1 (a833)) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H28d zenon_H6b zenon_H25 zenon_H6a zenon_Haf zenon_Hae zenon_Had zenon_H1a zenon_H15e. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H73 | zenon_intro zenon_H28e ]. % 0.92/1.08 apply (zenon_L32_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H29 | zenon_intro zenon_H15f ]. % 0.92/1.08 apply (zenon_L47_); trivial. % 0.92/1.08 exact (zenon_H15e zenon_H15f). % 0.92/1.08 (* end of lemma zenon_L450_ *) % 0.92/1.08 assert (zenon_L451_ : ((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp27)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp23)) -> (~(hskp15)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hbe zenon_H7a zenon_H24f zenon_H1bf zenon_H1c0 zenon_H11 zenon_H1ff zenon_He9 zenon_H15e zenon_H6a zenon_H6b zenon_H28d zenon_H1d zenon_H2a zenon_H1e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H1a. zenon_intro zenon_Hbf. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Had. zenon_intro zenon_Hc0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.92/1.08 apply (zenon_L449_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.92/1.08 apply (zenon_L450_); trivial. % 0.92/1.08 apply (zenon_L24_); trivial. % 0.92/1.08 (* end of lemma zenon_L451_ *) % 0.92/1.08 assert (zenon_L452_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (ndr1_0) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> (~(hskp26)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hc1 zenon_H28d zenon_H15e zenon_H1e zenon_H2a zenon_H1d zenon_H1ff zenon_H11 zenon_H1c0 zenon_H1bf zenon_H1a zenon_H6a zenon_H6b zenon_He9 zenon_H24f zenon_Hab zenon_Ha7 zenon_H7a. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hbe ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.92/1.08 apply (zenon_L449_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.92/1.08 apply (zenon_L45_); trivial. % 0.92/1.08 apply (zenon_L24_); trivial. % 0.92/1.08 apply (zenon_L451_); trivial. % 0.92/1.08 (* end of lemma zenon_L452_ *) % 0.92/1.08 assert (zenon_L453_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp22)) -> (~(hskp1)) -> (c1_1 (a842)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp26)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(hskp15)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H5f zenon_H255 zenon_H1dc zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H1be zenon_Hd0 zenon_Hce zenon_Hcc zenon_H7d zenon_H7a zenon_Ha7 zenon_Hab zenon_H24f zenon_He9 zenon_H6b zenon_H6a zenon_H1a zenon_H1bf zenon_H1c0 zenon_H1ff zenon_H1d zenon_H2a zenon_H1e zenon_H15e zenon_H28d zenon_Hc1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.08 apply (zenon_L452_); trivial. % 0.92/1.08 apply (zenon_L338_); trivial. % 0.92/1.08 (* end of lemma zenon_L453_ *) % 0.92/1.08 assert (zenon_L454_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (~(c2_1 (a839))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1be zenon_H162 zenon_H1e zenon_H2a zenon_Hc3 zenon_H1d zenon_H1a zenon_He9. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H250 ]. % 0.92/1.08 apply (zenon_L323_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H25 | zenon_intro zenon_Hea ]. % 0.92/1.08 apply (zenon_L108_); trivial. % 0.92/1.08 exact (zenon_He9 zenon_Hea). % 0.92/1.08 (* end of lemma zenon_L454_ *) % 0.92/1.08 assert (zenon_L455_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (ndr1_0) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a818)) -> (c0_1 (a818)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp27)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a zenon_H246 zenon_H247 zenon_H248 zenon_H24f zenon_He9 zenon_H1e zenon_H2a zenon_H1d zenon_H1c0 zenon_H1bf zenon_H1be zenon_H28d zenon_H15e zenon_Hd4 zenon_Hd3 zenon_H1ff zenon_H11 zenon_H6a zenon_H6b zenon_H253. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.92/1.08 apply (zenon_L208_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.92/1.08 apply (zenon_L454_); trivial. % 0.92/1.08 apply (zenon_L327_); trivial. % 0.92/1.08 apply (zenon_L91_); trivial. % 0.92/1.08 (* end of lemma zenon_L455_ *) % 0.92/1.08 assert (zenon_L456_ : ((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp22)) -> (~(hskp1)) -> (c1_1 (a842)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp15)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_He4 zenon_H5f zenon_H255 zenon_H1dc zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_Hd0 zenon_Hce zenon_Hcc zenon_H7d zenon_H253 zenon_H6b zenon_H6a zenon_H1ff zenon_H15e zenon_H28d zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1d zenon_H2a zenon_H1e zenon_He9 zenon_H24f zenon_H248 zenon_H247 zenon_H246 zenon_H16d zenon_H16e zenon_H16f zenon_H177. % 0.92/1.08 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.92/1.08 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.92/1.08 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.08 apply (zenon_L455_); trivial. % 0.92/1.08 apply (zenon_L338_); trivial. % 0.92/1.08 (* end of lemma zenon_L456_ *) % 0.92/1.08 assert (zenon_L457_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (ndr1_0) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a842)) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c0_1 (a830))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hfa zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_Hc1 zenon_H28d zenon_H15e zenon_H1e zenon_H2a zenon_H1d zenon_H1ff zenon_H1c0 zenon_H1bf zenon_H1a zenon_H6a zenon_H6b zenon_He9 zenon_H24f zenon_Hab zenon_H7a zenon_H7d zenon_Hcc zenon_Hce zenon_Hd0 zenon_H1be zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1b7 zenon_H1dc zenon_H255 zenon_H5f. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.92/1.08 apply (zenon_L453_); trivial. % 0.92/1.08 apply (zenon_L456_); trivial. % 0.92/1.08 (* end of lemma zenon_L457_ *) % 0.92/1.08 assert (zenon_L458_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp22)) -> (~(hskp1)) -> (c1_1 (a842)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(hskp15)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H122 zenon_H229 zenon_H118 zenon_H11a zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H4d zenon_H5f zenon_H255 zenon_H1dc zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H1be zenon_Hd0 zenon_Hce zenon_Hcc zenon_H7d zenon_H7a zenon_Hab zenon_H24f zenon_H6b zenon_H6a zenon_H1a zenon_H1bf zenon_H1c0 zenon_H1ff zenon_H1d zenon_H2a zenon_H1e zenon_H15e zenon_H28d zenon_Hc1 zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_Hfa. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.09 apply (zenon_L457_); trivial. % 0.92/1.09 apply (zenon_L444_); trivial. % 0.92/1.09 (* end of lemma zenon_L458_ *) % 0.92/1.09 assert (zenon_L459_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c0_1 (a830))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H77 zenon_H18f zenon_H18c zenon_H189 zenon_H14c zenon_H11d zenon_Hfa zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_Hc1 zenon_H28d zenon_H1e zenon_H2a zenon_H1d zenon_H1ff zenon_H1c0 zenon_H1bf zenon_H24f zenon_Hab zenon_H7a zenon_Hcc zenon_Hd0 zenon_H1be zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1b7 zenon_H1dc zenon_H255 zenon_H5f zenon_H4d zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H11a zenon_H229 zenon_H122 zenon_H147 zenon_H14d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.09 apply (zenon_L458_); trivial. % 0.92/1.09 apply (zenon_L214_); trivial. % 0.92/1.09 apply (zenon_L220_); trivial. % 0.92/1.09 apply (zenon_L95_); trivial. % 0.92/1.09 (* end of lemma zenon_L459_ *) % 0.92/1.09 assert (zenon_L460_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c0_1 (a830))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a817)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H18f zenon_H18c zenon_H189 zenon_H14c zenon_H11d zenon_Hfa zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_Hc1 zenon_H28d zenon_H1ff zenon_H1c0 zenon_H1bf zenon_H24f zenon_Hab zenon_H7a zenon_Hcc zenon_Hd0 zenon_H1be zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1b7 zenon_H1dc zenon_H255 zenon_H5f zenon_H4d zenon_H11a zenon_H229 zenon_H122 zenon_H147 zenon_H14d zenon_Hf2 zenon_H1 zenon_H2ce zenon_H2c5 zenon_H2c7 zenon_H16d zenon_H16e zenon_H16f zenon_H177. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.09 apply (zenon_L427_); trivial. % 0.92/1.09 apply (zenon_L459_); trivial. % 0.92/1.09 (* end of lemma zenon_L460_ *) % 0.92/1.09 assert (zenon_L461_ : ((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a817)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H238 zenon_H83 zenon_H18c zenon_H189 zenon_Hf2 zenon_H1 zenon_H2ce zenon_H2c5 zenon_H2c7 zenon_H16d zenon_H16e zenon_H16f zenon_H177. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.09 apply (zenon_L427_); trivial. % 0.92/1.09 apply (zenon_L345_); trivial. % 0.92/1.09 (* end of lemma zenon_L461_ *) % 0.92/1.09 assert (zenon_L462_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> (c2_1 (a817)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((hskp7)\/((hskp5)\/(hskp13))) -> (~(hskp5)) -> (~(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H203 zenon_H18f zenon_H189 zenon_H160 zenon_H155 zenon_H18c zenon_H2ce zenon_H2c5 zenon_H2c7 zenon_H177 zenon_H7 zenon_H3 zenon_H1 zenon_H14d zenon_H147 zenon_H135 zenon_Hf2 zenon_H127 zenon_H229 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H4d zenon_H122 zenon_H5f zenon_H59 zenon_H31 zenon_H48 zenon_H46 zenon_H17 zenon_H7a zenon_H79 zenon_H78 zenon_H83 zenon_Ha3. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.09 apply (zenon_L372_); trivial. % 0.92/1.09 apply (zenon_L428_); trivial. % 0.92/1.09 (* end of lemma zenon_L462_ *) % 0.92/1.09 assert (zenon_L463_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a817)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> (ndr1_0) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp14)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H203 zenon_Hf2 zenon_H1 zenon_H2ce zenon_H2c5 zenon_H2c7 zenon_H1b9 zenon_H229 zenon_H83 zenon_H18f zenon_Ha2 zenon_H26c zenon_H26a zenon_Hc1 zenon_H189 zenon_H21d zenon_H1ef zenon_H177 zenon_H14d zenon_H59 zenon_H160 zenon_H46 zenon_H48 zenon_H155 zenon_H1de zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_Hfa zenon_H18c zenon_H1a zenon_H20a zenon_H20b zenon_H20c zenon_H213 zenon_H5f zenon_H31 zenon_H4d zenon_H17 zenon_Hab zenon_H7a zenon_H78 zenon_Ha3 zenon_H237. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.09 apply (zenon_L258_); trivial. % 0.92/1.09 apply (zenon_L428_); trivial. % 0.92/1.09 (* end of lemma zenon_L463_ *) % 0.92/1.09 assert (zenon_L464_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a857))) -> (c0_1 (a857)) -> (c1_1 (a857)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H14e zenon_H1a zenon_H276 zenon_H275 zenon_H27a. % 0.92/1.09 generalize (zenon_H14e (a857)). zenon_intro zenon_H2e2. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H2e2); [ zenon_intro zenon_H19 | zenon_intro zenon_H2e3 ]. % 0.92/1.09 exact (zenon_H19 zenon_H1a). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H281 | zenon_intro zenon_H27d ]. % 0.92/1.09 exact (zenon_H276 zenon_H281). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H280 | zenon_intro zenon_H27f ]. % 0.92/1.09 exact (zenon_H280 zenon_H275). % 0.92/1.09 exact (zenon_H27f zenon_H27a). % 0.92/1.09 (* end of lemma zenon_L464_ *) % 0.92/1.09 assert (zenon_L465_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (~(c2_1 (a857))) -> (c0_1 (a857)) -> (~(c3_1 (a857))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1fc zenon_H1a zenon_H14e zenon_H276 zenon_H275 zenon_H274. % 0.92/1.09 generalize (zenon_H1fc (a857)). zenon_intro zenon_H277. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H277); [ zenon_intro zenon_H19 | zenon_intro zenon_H278 ]. % 0.92/1.09 exact (zenon_H19 zenon_H1a). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H27a | zenon_intro zenon_H279 ]. % 0.92/1.09 apply (zenon_L464_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H281 | zenon_intro zenon_H27e ]. % 0.92/1.09 exact (zenon_H276 zenon_H281). % 0.92/1.09 exact (zenon_H274 zenon_H27e). % 0.92/1.09 (* end of lemma zenon_L465_ *) % 0.92/1.09 assert (zenon_L466_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c0_1 (a817))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c2_1 (a857))) -> (c0_1 (a857)) -> (~(c3_1 (a857))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H229 zenon_H2ce zenon_H2c7 zenon_H162 zenon_H2c5 zenon_H138 zenon_H137 zenon_H136 zenon_H1fc zenon_H1a zenon_H276 zenon_H275 zenon_H274. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.92/1.09 apply (zenon_L442_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.92/1.09 apply (zenon_L79_); trivial. % 0.92/1.09 apply (zenon_L465_); trivial. % 0.92/1.09 (* end of lemma zenon_L466_ *) % 0.92/1.09 assert (zenon_L467_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (ndr1_0) -> (~(c3_1 (a817))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c0_1 (a817))) -> (c2_1 (a817)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H2db zenon_H274 zenon_H275 zenon_H276 zenon_H136 zenon_H137 zenon_H138 zenon_H229 zenon_H1a zenon_H2c7 zenon_H162 zenon_H2c5 zenon_H2ce. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2dc ]. % 0.92/1.09 apply (zenon_L436_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hf4 ]. % 0.92/1.09 apply (zenon_L466_); trivial. % 0.92/1.09 apply (zenon_L426_); trivial. % 0.92/1.09 (* end of lemma zenon_L467_ *) % 0.92/1.09 assert (zenon_L468_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H282 zenon_H177 zenon_H1ef zenon_H15 zenon_H21b zenon_Hd zenon_H21d zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H138 zenon_H137 zenon_H136 zenon_H2db. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.09 apply (zenon_L467_); trivial. % 0.92/1.09 apply (zenon_L173_); trivial. % 0.92/1.09 (* end of lemma zenon_L468_ *) % 0.92/1.09 assert (zenon_L469_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp13)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H77 zenon_H1f3 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H2db zenon_H1da zenon_H5 zenon_H285 zenon_H1de zenon_H200 zenon_H11a zenon_Hfa zenon_H122 zenon_H272 zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c zenon_H21d zenon_Hd zenon_H21b zenon_H15 zenon_H1ef zenon_H177 zenon_H14d zenon_H18c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.09 apply (zenon_L274_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. 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_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_L278_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.09 apply (zenon_L265_); trivial. % 0.92/1.09 apply (zenon_L468_); trivial. % 0.92/1.09 (* end of lemma zenon_L469_ *) % 0.92/1.09 assert (zenon_L470_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((hskp14)\/(hskp24)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp12)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1a1 zenon_H9e zenon_H9b zenon_H83 zenon_H1f3 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H2db zenon_H1da zenon_H285 zenon_H1de zenon_H200 zenon_H11a zenon_Hfa zenon_H122 zenon_H272 zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c zenon_H21d zenon_Hd zenon_H21b zenon_H15 zenon_H1ef zenon_H177 zenon_H14d zenon_H18c zenon_H86 zenon_H1a2 zenon_Ha2 zenon_Hf zenon_H5f zenon_H59 zenon_H1b7 zenon_H147 zenon_H31 zenon_H4d zenon_H17 zenon_H11d zenon_H7a zenon_H78 zenon_Ha3. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.09 apply (zenon_L105_); trivial. % 0.92/1.09 apply (zenon_L469_); trivial. % 0.92/1.09 apply (zenon_L288_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.09 apply (zenon_L41_); trivial. % 0.92/1.09 apply (zenon_L469_); trivial. % 0.92/1.09 apply (zenon_L411_); trivial. % 0.92/1.09 (* end of lemma zenon_L470_ *) % 0.92/1.09 assert (zenon_L471_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a848)) -> (c2_1 (a848)) -> (~(c1_1 (a848))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H122 zenon_H11a zenon_H118 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H17 zenon_H15 zenon_H13 zenon_Heb zenon_Hed zenon_H5f. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.09 apply (zenon_L188_); trivial. % 0.92/1.09 apply (zenon_L275_); trivial. % 0.92/1.09 (* end of lemma zenon_L471_ *) % 0.92/1.09 assert (zenon_L472_ : (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X)))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (~(c2_1 (a857))) -> (c0_1 (a857)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H10f zenon_H1a zenon_H14e zenon_H276 zenon_H275. % 0.92/1.09 generalize (zenon_H10f (a857)). zenon_intro zenon_H2e4. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H2e4); [ zenon_intro zenon_H19 | zenon_intro zenon_H2e5 ]. % 0.92/1.09 exact (zenon_H19 zenon_H1a). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H27a | zenon_intro zenon_H2e6 ]. % 0.92/1.09 apply (zenon_L464_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H281 | zenon_intro zenon_H280 ]. % 0.92/1.09 exact (zenon_H276 zenon_H281). % 0.92/1.09 exact (zenon_H280 zenon_H275). % 0.92/1.09 (* end of lemma zenon_L472_ *) % 0.92/1.09 assert (zenon_L473_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (ndr1_0) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (c3_1 (a865)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H200 zenon_H274 zenon_H275 zenon_H276 zenon_H14e zenon_H1a zenon_H4f zenon_H50 zenon_H51. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1fc | zenon_intro zenon_H201 ]. % 0.92/1.09 apply (zenon_L465_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H10f | zenon_intro zenon_H40 ]. % 0.92/1.09 apply (zenon_L472_); trivial. % 0.92/1.09 apply (zenon_L26_); trivial. % 0.92/1.09 (* end of lemma zenon_L473_ *) % 0.92/1.09 assert (zenon_L474_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c0_1 (a835))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> (ndr1_0) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (c3_1 (a865)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H229 zenon_H1a8 zenon_H1a9 zenon_H16c zenon_H1a7 zenon_H138 zenon_H137 zenon_H136 zenon_H200 zenon_H274 zenon_H275 zenon_H276 zenon_H1a zenon_H4f zenon_H50 zenon_H51. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.92/1.09 apply (zenon_L178_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.92/1.09 apply (zenon_L79_); trivial. % 0.92/1.09 apply (zenon_L473_); trivial. % 0.92/1.09 (* end of lemma zenon_L474_ *) % 0.92/1.09 assert (zenon_L475_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H5c zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H200 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H274 zenon_H275 zenon_H276 zenon_H138 zenon_H137 zenon_H136 zenon_H2db. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.09 apply (zenon_L467_); trivial. % 0.92/1.09 apply (zenon_L474_); trivial. % 0.92/1.09 (* end of lemma zenon_L475_ *) % 0.92/1.09 assert (zenon_L476_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H282 zenon_H59 zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H200 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H138 zenon_H137 zenon_H136 zenon_H2db zenon_H6a zenon_H6b zenon_H7d zenon_H153 zenon_H155. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.09 apply (zenon_L85_); trivial. % 0.92/1.09 apply (zenon_L475_); trivial. % 0.92/1.09 (* end of lemma zenon_L476_ *) % 0.92/1.09 assert (zenon_L477_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a854))) -> (~(c2_1 (a854))) -> (c1_1 (a854)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H282 zenon_H14c zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H61 zenon_H62 zenon_H63 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H7a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.09 apply (zenon_L207_); trivial. % 0.92/1.09 apply (zenon_L269_); trivial. % 0.92/1.09 (* end of lemma zenon_L477_ *) % 0.92/1.09 assert (zenon_L478_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H7e zenon_H285 zenon_H7a zenon_H122 zenon_H272 zenon_H5 zenon_H24f zenon_H6a zenon_H6b zenon_H7d zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.09 apply (zenon_L265_); 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)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp13)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c0_1 (a835))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H77 zenon_H1f3 zenon_H78 zenon_H7a zenon_H59 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H2db zenon_H155 zenon_H5f zenon_Hed zenon_Heb zenon_H15 zenon_H17 zenon_H1da zenon_H5 zenon_H285 zenon_H1de zenon_H200 zenon_H11a zenon_Hfa zenon_H122 zenon_H272 zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H14c zenon_H229 zenon_H1a8 zenon_H1a9 zenon_H1a7 zenon_H177 zenon_H14d zenon_H18c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.09 apply (zenon_L297_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. 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_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_L471_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.09 apply (zenon_L265_); trivial. % 0.92/1.09 apply (zenon_L476_); trivial. % 0.92/1.09 apply (zenon_L296_); trivial. % 0.92/1.09 apply (zenon_L478_); trivial. % 0.92/1.09 (* end of lemma zenon_L479_ *) % 0.92/1.09 assert (zenon_L480_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H282 zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H138 zenon_H137 zenon_H136 zenon_H2db. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.09 apply (zenon_L467_); trivial. % 0.92/1.09 apply (zenon_L91_); trivial. % 0.92/1.09 (* end of lemma zenon_L480_ *) % 0.92/1.09 assert (zenon_L481_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> (~(hskp13)) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> (~(c0_1 (a830))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a817)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (ndr1_0) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H83 zenon_H18f zenon_H18c zenon_H5 zenon_H1da zenon_H14d zenon_H285 zenon_H229 zenon_H2db zenon_H272 zenon_Hcc zenon_Hd0 zenon_H1dc zenon_H255 zenon_H14c zenon_Ha2 zenon_Hfa zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H26c zenon_Hc1 zenon_H28d zenon_H1ff zenon_H1c0 zenon_H1bf zenon_H24f zenon_H26a zenon_H189 zenon_H1be zenon_H5f zenon_H11a zenon_H122 zenon_H1f3 zenon_Hf2 zenon_H1 zenon_H2ce zenon_H2c5 zenon_H2c7 zenon_H1a zenon_H16d zenon_H16e zenon_H16f zenon_H177. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.09 apply (zenon_L427_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.09 apply (zenon_L319_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. 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_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_L330_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.09 apply (zenon_L265_); trivial. % 0.92/1.09 apply (zenon_L480_); trivial. % 0.92/1.09 apply (zenon_L92_); trivial. % 0.92/1.09 apply (zenon_L95_); trivial. % 0.92/1.09 (* end of lemma zenon_L481_ *) % 0.92/1.09 assert (zenon_L482_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H121 zenon_H122 zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H229 zenon_H2a zenon_H1e zenon_H1d zenon_H118 zenon_H11a zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H4d zenon_H253 zenon_H1bf zenon_H1c0 zenon_H6a zenon_H6b zenon_H7d zenon_H24f zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.09 apply (zenon_L264_); trivial. % 0.92/1.09 apply (zenon_L444_); trivial. % 0.92/1.09 (* end of lemma zenon_L482_ *) % 0.92/1.09 assert (zenon_L483_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a839)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H77 zenon_H14d zenon_H147 zenon_H122 zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H229 zenon_H2a zenon_H11a zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H4d zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H21d zenon_Hd zenon_H21b zenon_H1d zenon_H1e zenon_H1dc zenon_H255 zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H14c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.09 apply (zenon_L445_); trivial. % 0.92/1.09 apply (zenon_L482_); trivial. % 0.92/1.09 apply (zenon_L284_); trivial. % 0.92/1.09 (* end of lemma zenon_L483_ *) % 0.92/1.09 assert (zenon_L484_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (ndr1_0) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (c2_1 (a817)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> (~(c0_1 (a830))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Ha3 zenon_H147 zenon_H4d zenon_H21d zenon_Hd zenon_H21b zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a zenon_H2c7 zenon_H2c5 zenon_H2ce zenon_H1 zenon_Hf2 zenon_H1f3 zenon_H122 zenon_H11a zenon_H5f zenon_H1be zenon_H189 zenon_H26a zenon_H24f zenon_H1bf zenon_H1c0 zenon_H1ff zenon_H28d zenon_Hc1 zenon_H26c zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_Hfa zenon_Ha2 zenon_H14c zenon_H255 zenon_H1dc zenon_Hd0 zenon_Hcc zenon_H272 zenon_H2db zenon_H229 zenon_H285 zenon_H14d zenon_H1da zenon_H18c zenon_H18f zenon_H83. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.09 apply (zenon_L481_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.09 apply (zenon_L427_); 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_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a817)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H21d zenon_Hd zenon_H21b zenon_H1dc zenon_H255 zenon_H4d zenon_H14c zenon_Hf2 zenon_H1 zenon_H2ce zenon_H2c5 zenon_H2c7 zenon_H16d zenon_H16e zenon_H16f zenon_H177. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.09 apply (zenon_L427_); trivial. % 0.92/1.09 apply (zenon_L415_); trivial. % 0.92/1.09 (* end of lemma zenon_L485_ *) % 0.92/1.09 assert (zenon_L486_ : ((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c2_1 (a860))) -> (~(c1_1 (a860))) -> (~(c0_1 (a860))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(hskp0)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H58 zenon_H255 zenon_Hfe zenon_Hfd zenon_Hfc zenon_H1b7 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H28d zenon_H15e zenon_H6b zenon_H6a zenon_He9 zenon_H24f zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H1dc. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.92/1.09 apply (zenon_L66_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.92/1.09 apply (zenon_L337_); 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_ : ((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c0_1 (a830))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c2_1 (a860))) -> (~(c1_1 (a860))) -> (~(c0_1 (a860))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_He4 zenon_H5f zenon_H255 zenon_H1dc zenon_H1b7 zenon_H1be zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_Hfe zenon_Hfd zenon_Hfc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H28d zenon_H15e zenon_H1ff zenon_H1c0 zenon_H1bf zenon_H6a zenon_H6b zenon_He9 zenon_H24f zenon_H253. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.09 apply (zenon_L328_); trivial. % 0.92/1.09 apply (zenon_L486_); trivial. % 0.92/1.09 (* end of lemma zenon_L487_ *) % 0.92/1.09 assert (zenon_L488_ : ((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c0_1 (a830))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c2_1 (a860))) -> (~(c1_1 (a860))) -> (~(c0_1 (a860))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9d zenon_Hfa zenon_H5f zenon_H255 zenon_H1dc zenon_H1b7 zenon_H1be zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_Hfe zenon_Hfd zenon_Hfc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H28d zenon_H15e zenon_H1ff zenon_H1c0 zenon_H1bf zenon_He9 zenon_H24f zenon_H253 zenon_H6a zenon_H6b zenon_H7d zenon_H26c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H8a. zenon_intro zenon_Ha0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H88. zenon_intro zenon_H89. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.92/1.09 apply (zenon_L248_); 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)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> (~(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c0_1 (a830))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> (~(hskp20)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp15)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> (c1_1 (a842)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H121 zenon_H122 zenon_H272 zenon_H5 zenon_H270 zenon_H5f zenon_H255 zenon_H1dc zenon_H1b7 zenon_H1be zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H26a zenon_H118 zenon_H24f zenon_H6b zenon_H6a zenon_H1bf zenon_H1c0 zenon_H1ff zenon_H15e zenon_H28d zenon_Hc1 zenon_H26c zenon_H7d zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_Hfa zenon_Ha2. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H84 | zenon_intro zenon_H9d ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.09 apply (zenon_L322_); trivial. % 0.92/1.09 apply (zenon_L486_); trivial. % 0.92/1.09 apply (zenon_L488_); trivial. % 0.92/1.09 apply (zenon_L262_); trivial. % 0.92/1.09 (* end of lemma zenon_L489_ *) % 0.92/1.09 assert (zenon_L490_ : (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15)))))) -> (ndr1_0) -> (~(c2_1 (a857))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H73 zenon_H1a zenon_H276 zenon_H274 zenon_H275. % 0.92/1.09 generalize (zenon_H73 (a857)). zenon_intro zenon_H2e7. % 0.92/1.09 apply (zenon_imply_s _ _ zenon_H2e7); [ zenon_intro zenon_H19 | zenon_intro zenon_H2e8 ]. % 0.92/1.09 exact (zenon_H19 zenon_H1a). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H281 | zenon_intro zenon_H2e9 ]. % 0.92/1.09 exact (zenon_H276 zenon_H281). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H27e | zenon_intro zenon_H280 ]. % 0.92/1.09 exact (zenon_H274 zenon_H27e). % 0.92/1.09 exact (zenon_H280 zenon_H275). % 0.92/1.09 (* end of lemma zenon_L490_ *) % 0.92/1.09 assert (zenon_L491_ : ((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (c0_1 (a857)) -> (~(c3_1 (a857))) -> (~(c2_1 (a857))) -> (~(hskp15)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hbe zenon_H28d zenon_H275 zenon_H274 zenon_H276 zenon_H15e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H1a. zenon_intro zenon_Hbf. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Had. zenon_intro zenon_Hc0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H73 | zenon_intro zenon_H28e ]. % 0.92/1.09 apply (zenon_L490_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H29 | zenon_intro zenon_H15f ]. % 0.92/1.09 apply (zenon_L47_); trivial. % 0.92/1.09 exact (zenon_H15e zenon_H15f). % 0.92/1.09 (* end of lemma zenon_L491_ *) % 0.92/1.09 assert (zenon_L492_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a857)) -> (~(c3_1 (a857))) -> (~(c2_1 (a857))) -> (~(hskp24)) -> (~(hskp20)) -> ((hskp28)\/((hskp24)\/(hskp20))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hc1 zenon_H28d zenon_H15e zenon_H275 zenon_H274 zenon_H276 zenon_H84 zenon_H118 zenon_H26a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hbe ]. % 0.92/1.09 apply (zenon_L244_); trivial. % 0.92/1.09 apply (zenon_L491_); trivial. % 0.92/1.09 (* end of lemma zenon_L492_ *) % 0.92/1.09 assert (zenon_L493_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c0_1 (a817))) -> (~(hskp20)) -> (~(c1_1 (a862))) -> (c3_1 (a862)) -> (c0_1 (a862)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c2_1 (a857))) -> (c0_1 (a857)) -> (~(c3_1 (a857))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H229 zenon_H2ce zenon_H2c7 zenon_H162 zenon_H2c5 zenon_H118 zenon_H105 zenon_H107 zenon_H106 zenon_H11a zenon_H1fc zenon_H1a zenon_H276 zenon_H275 zenon_H274. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.92/1.09 apply (zenon_L442_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.92/1.09 apply (zenon_L191_); trivial. % 0.92/1.09 apply (zenon_L465_); trivial. % 0.92/1.09 (* end of lemma zenon_L493_ *) % 0.92/1.09 assert (zenon_L494_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c0_1 (a862)) -> (c3_1 (a862)) -> (~(c1_1 (a862))) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (ndr1_0) -> (~(c3_1 (a817))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c0_1 (a817))) -> (c2_1 (a817)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H2db zenon_H274 zenon_H275 zenon_H276 zenon_H11a zenon_H106 zenon_H107 zenon_H105 zenon_H118 zenon_H229 zenon_H1a zenon_H2c7 zenon_H162 zenon_H2c5 zenon_H2ce. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2dc ]. % 0.92/1.09 apply (zenon_L436_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hf4 ]. % 0.92/1.09 apply (zenon_L493_); trivial. % 0.92/1.09 apply (zenon_L426_); trivial. % 0.92/1.09 (* end of lemma zenon_L494_ *) % 0.92/1.09 assert (zenon_L495_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H11c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H274 zenon_H275 zenon_H276 zenon_H118 zenon_H11a zenon_H2db. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.09 apply (zenon_L494_); trivial. % 0.92/1.09 apply (zenon_L91_); trivial. % 0.92/1.09 (* end of lemma zenon_L495_ *) % 0.92/1.09 assert (zenon_L496_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a857)) -> (~(c3_1 (a857))) -> (~(c2_1 (a857))) -> (~(hskp20)) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c0_1 (a830))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H122 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H11a zenon_H2db zenon_Hc1 zenon_H28d zenon_H15e zenon_H275 zenon_H274 zenon_H276 zenon_H118 zenon_H26a zenon_H26c zenon_H7d zenon_H6b zenon_H6a zenon_H253 zenon_H24f zenon_H1bf zenon_H1c0 zenon_H1ff zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_Hcc zenon_Hce zenon_Hd0 zenon_H1be zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1b7 zenon_H1dc zenon_H255 zenon_H5f zenon_Hfa zenon_Ha2. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H84 | zenon_intro zenon_H9d ]. % 0.92/1.09 apply (zenon_L492_); trivial. % 0.92/1.09 apply (zenon_L340_); 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_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H11c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H274 zenon_H275 zenon_H276 zenon_H118 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H2db. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2dc ]. % 0.92/1.09 apply (zenon_L436_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hf4 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.92/1.09 apply (zenon_L228_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.92/1.09 apply (zenon_L191_); trivial. % 0.92/1.09 apply (zenon_L465_); trivial. % 0.92/1.09 apply (zenon_L426_); trivial. % 0.92/1.09 apply (zenon_L91_); trivial. % 0.92/1.09 (* end of lemma zenon_L497_ *) % 0.92/1.09 assert (zenon_L498_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a857)) -> (~(c3_1 (a857))) -> (~(c2_1 (a857))) -> (~(hskp20)) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c0_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H121 zenon_H122 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H2db zenon_Hc1 zenon_H28d zenon_H15e zenon_H275 zenon_H274 zenon_H276 zenon_H118 zenon_H26a zenon_H26c zenon_H7d zenon_H6b zenon_H6a zenon_H253 zenon_H24f zenon_H1bf zenon_H1c0 zenon_H1ff zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1be zenon_H1b7 zenon_H1dc zenon_H255 zenon_H5f zenon_Hfa zenon_Ha2. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H84 | zenon_intro zenon_H9d ]. % 0.92/1.09 apply (zenon_L492_); trivial. % 0.92/1.09 apply (zenon_L488_); trivial. % 0.92/1.09 apply (zenon_L497_); trivial. % 0.92/1.09 (* end of lemma zenon_L498_ *) % 0.92/1.09 assert (zenon_L499_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c0_1 (a830))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c2_1 (a860))) -> (~(c1_1 (a860))) -> (~(c0_1 (a860))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp26)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(hskp15)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H5f zenon_H255 zenon_H1dc zenon_H1b7 zenon_H1be zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_Hfe zenon_Hfd zenon_Hfc zenon_H7a zenon_Ha7 zenon_Hab zenon_H24f zenon_He9 zenon_H6b zenon_H6a zenon_H1a zenon_H1bf zenon_H1c0 zenon_H1ff zenon_H1d zenon_H2a zenon_H1e zenon_H15e zenon_H28d zenon_Hc1. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.09 apply (zenon_L452_); trivial. % 0.92/1.09 apply (zenon_L486_); trivial. % 0.92/1.09 (* end of lemma zenon_L499_ *) % 0.92/1.09 assert (zenon_L500_ : ((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(c2_1 (a860))) -> (~(c1_1 (a860))) -> (~(c0_1 (a860))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp15)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_He4 zenon_H5f zenon_H255 zenon_H1dc zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_Hfe zenon_Hfd zenon_Hfc zenon_H253 zenon_H6b zenon_H6a zenon_H1ff zenon_H15e zenon_H28d zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1d zenon_H2a zenon_H1e zenon_He9 zenon_H24f zenon_H248 zenon_H247 zenon_H246 zenon_H16d zenon_H16e zenon_H16f zenon_H177. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hd3. zenon_intro zenon_He7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_Hdf. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.09 apply (zenon_L455_); trivial. % 0.92/1.09 apply (zenon_L486_); trivial. % 0.92/1.09 (* end of lemma zenon_L500_ *) % 0.92/1.09 assert (zenon_L501_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (c2_1 (a817)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> (~(c0_1 (a830))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((hskp28)\/((hskp24)\/(hskp20))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1f4 zenon_H237 zenon_Ha3 zenon_Hcc zenon_Hd0 zenon_H21d zenon_H1dc zenon_H255 zenon_H4d zenon_H14c zenon_H177 zenon_H2c7 zenon_H2c5 zenon_H2ce zenon_H1 zenon_Hf2 zenon_H1f3 zenon_H122 zenon_H11a zenon_H5f zenon_H1be zenon_H189 zenon_H26a zenon_H24f zenon_H1bf zenon_H1c0 zenon_H1ff zenon_H28d zenon_Hc1 zenon_H26c zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_Hfa zenon_Ha2 zenon_H25e zenon_H25f zenon_H260 zenon_H229 zenon_H14d zenon_H1da zenon_H18c zenon_H18f zenon_H83 zenon_H285 zenon_H2db zenon_H272 zenon_H1b7 zenon_H7a zenon_Hab zenon_H1b9. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.09 apply (zenon_L427_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.09 apply (zenon_L319_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. 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_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_L330_); trivial. % 0.92/1.09 apply (zenon_L234_); trivial. % 0.92/1.09 apply (zenon_L92_); trivial. % 0.92/1.09 apply (zenon_L95_); trivial. % 0.92/1.09 apply (zenon_L485_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.09 apply (zenon_L427_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.09 apply (zenon_L341_); trivial. % 0.92/1.09 apply (zenon_L262_); trivial. % 0.92/1.09 apply (zenon_L489_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.09 apply (zenon_L496_); trivial. % 0.92/1.09 apply (zenon_L498_); trivial. % 0.92/1.09 apply (zenon_L234_); trivial. % 0.92/1.09 apply (zenon_L95_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.09 apply (zenon_L427_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.09 apply (zenon_L458_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.92/1.09 apply (zenon_L499_); trivial. % 0.92/1.09 apply (zenon_L500_); trivial. % 0.92/1.09 apply (zenon_L230_); trivial. % 0.92/1.09 apply (zenon_L234_); trivial. % 0.92/1.09 apply (zenon_L95_); trivial. % 0.92/1.09 apply (zenon_L461_); trivial. % 0.92/1.09 (* end of lemma zenon_L501_ *) % 0.92/1.09 assert (zenon_L502_ : ((ndr1_0)/\((c1_1 (a827))/\((c2_1 (a827))/\(~(c0_1 (a827)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp26)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> (c2_1 (a817)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((hskp7)\/((hskp5)\/(hskp13))) -> (~(hskp5)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp7)\/(hskp4))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H2ea zenon_H2d4 zenon_H200 zenon_H1ff zenon_Hc1 zenon_Hab zenon_H1f3 zenon_H198 zenon_H1d8 zenon_H1da zenon_Hfa zenon_He5 zenon_Hcc zenon_Hd0 zenon_H1dc zenon_H1de zenon_H11d zenon_H14c zenon_H1ef zenon_H203 zenon_H18f zenon_H189 zenon_H160 zenon_H155 zenon_H18c zenon_H2ce zenon_H2c5 zenon_H2c7 zenon_H177 zenon_H7 zenon_H3 zenon_H14d zenon_H147 zenon_H135 zenon_Hf2 zenon_H127 zenon_H229 zenon_H11a zenon_H4d zenon_H122 zenon_H5f zenon_H59 zenon_H31 zenon_H48 zenon_H17 zenon_H7a zenon_H79 zenon_H78 zenon_H83 zenon_Ha3 zenon_H1c7 zenon_H1c9 zenon_H206. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1a. zenon_intro zenon_H2eb. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25f. zenon_intro zenon_H2ec. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.09 apply (zenon_L462_); trivial. % 0.92/1.09 apply (zenon_L160_); trivial. % 0.92/1.09 apply (zenon_L161_); trivial. % 0.92/1.09 (* end of lemma zenon_L502_ *) % 0.92/1.09 assert (zenon_L503_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> (~(c0_1 (a830))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H83 zenon_H78 zenon_H7a zenon_H14c zenon_H11d zenon_H253 zenon_H24f zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H135 zenon_H2db zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hd0 zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H127 zenon_H17 zenon_H15 zenon_H4d zenon_H31 zenon_H147 zenon_H11a zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122 zenon_H1be zenon_H14d zenon_H86 zenon_H9b zenon_H9e zenon_Ha2 zenon_H1 zenon_H3 zenon_H7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.10 apply (zenon_L4_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.10 apply (zenon_L41_); trivial. % 0.92/1.10 apply (zenon_L441_); trivial. % 0.92/1.10 (* end of lemma zenon_L503_ *) % 0.92/1.10 assert (zenon_L504_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c1_1 (a820))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H7e zenon_H14c zenon_H255 zenon_H1dc zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H299 zenon_H297 zenon_H298 zenon_H1bf zenon_H1c0 zenon_H1b7 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H7a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_L207_); trivial. % 0.92/1.10 apply (zenon_L394_); trivial. % 0.92/1.10 (* end of lemma zenon_L504_ *) % 0.92/1.10 assert (zenon_L505_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> (~(c1_1 (a820))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a818))/\((c1_1 (a818))/\(c2_1 (a818)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a833))/\((c1_1 (a833))/\(c3_1 (a833)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (ndr1_0) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp26)\/(hskp28))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c1_1 (a842)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c0_1 (a830))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H14c zenon_H299 zenon_H297 zenon_H298 zenon_Hfa zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_Hc1 zenon_H28d zenon_H15e zenon_H1e zenon_H2a zenon_H1d zenon_H1ff zenon_H1c0 zenon_H1bf zenon_H1a zenon_H6a zenon_H6b zenon_H24f zenon_Hab zenon_H7a zenon_H7d zenon_Hcc zenon_Hd0 zenon_H1be zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1b7 zenon_H1dc zenon_H255 zenon_H5f zenon_H4d zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H11a zenon_H118 zenon_H229 zenon_H122. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_L458_); trivial. % 0.92/1.10 apply (zenon_L394_); trivial. % 0.92/1.10 (* end of lemma zenon_L505_ *) % 0.92/1.10 assert (zenon_L506_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Ha3 zenon_H83 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H21d zenon_H21b zenon_H1dc zenon_H255 zenon_H4d zenon_H14c zenon_Hb zenon_Hd zenon_Hf zenon_H1 zenon_H3 zenon_H7. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.10 apply (zenon_L4_); trivial. % 0.92/1.10 apply (zenon_L416_); trivial. % 0.92/1.10 (* end of lemma zenon_L506_ *) % 0.92/1.10 assert (zenon_L507_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> (~(c0_1 (a827))) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1b7 zenon_H25f zenon_H260 zenon_H25e zenon_H94 zenon_H93 zenon_H92 zenon_Hf4 zenon_Hfb zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.92/1.10 apply (zenon_L403_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.92/1.10 apply (zenon_L418_); trivial. % 0.92/1.10 apply (zenon_L216_); trivial. % 0.92/1.10 (* end of lemma zenon_L507_ *) % 0.92/1.10 assert (zenon_L508_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(hskp22)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> (~(c0_1 (a827))) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H2db zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_Hce zenon_Hcc zenon_Hd0 zenon_H1b7 zenon_H25f zenon_H260 zenon_H25e zenon_H94 zenon_H93 zenon_H92 zenon_Hfb zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2dc ]. % 0.92/1.10 apply (zenon_L436_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hf4 ]. % 0.92/1.10 apply (zenon_L149_); trivial. % 0.92/1.10 apply (zenon_L507_); trivial. % 0.92/1.10 (* end of lemma zenon_L508_ *) % 0.92/1.10 assert (zenon_L509_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c0_1 (a830))) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> (~(c0_1 (a827))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(hskp22)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp0)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H255 zenon_H1be zenon_H92 zenon_H93 zenon_H94 zenon_H25e zenon_H260 zenon_H25f zenon_H1b7 zenon_Hd0 zenon_Hcc zenon_Hce zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H2db zenon_Hd zenon_H21b zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1e zenon_H1d zenon_H1a zenon_He9 zenon_H21d zenon_H1dc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.92/1.10 apply (zenon_L508_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L290_); trivial. % 0.92/1.10 exact (zenon_H1dc zenon_H1dd). % 0.92/1.10 (* end of lemma zenon_L509_ *) % 0.92/1.10 assert (zenon_L510_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c0_1 (a830))) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a839)) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H14c zenon_H255 zenon_H1dc zenon_H24f zenon_H1e zenon_H1d zenon_H21b zenon_Hd zenon_H21d zenon_H1a zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_Hd0 zenon_Hcc zenon_H1c0 zenon_H1bf zenon_H1b7 zenon_H1be zenon_H94 zenon_H93 zenon_H92 zenon_H25f zenon_H260 zenon_H25e zenon_H2db zenon_H229 zenon_H2a zenon_H118 zenon_H11a zenon_H4d zenon_H122. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.10 apply (zenon_L509_); trivial. % 0.92/1.10 apply (zenon_L230_); trivial. % 0.92/1.10 apply (zenon_L414_); trivial. % 0.92/1.10 (* end of lemma zenon_L510_ *) % 0.92/1.10 assert (zenon_L511_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H11c zenon_H4d zenon_H136 zenon_H137 zenon_H138 zenon_H25e zenon_H25f zenon_H260 zenon_H229 zenon_H1d zenon_H2a zenon_H1e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.92/1.10 apply (zenon_L228_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.92/1.10 apply (zenon_L79_); trivial. % 0.92/1.10 apply (zenon_L229_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.92/1.10 apply (zenon_L67_); trivial. % 0.92/1.10 apply (zenon_L24_); trivial. % 0.92/1.10 (* end of lemma zenon_L511_ *) % 0.92/1.10 assert (zenon_L512_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> (c1_1 (a839)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H121 zenon_H122 zenon_H4d zenon_H25e zenon_H25f zenon_H260 zenon_H136 zenon_H137 zenon_H138 zenon_H2a zenon_H229 zenon_H21d zenon_Hd zenon_H21b zenon_H1bf zenon_H1c0 zenon_H1d zenon_H1e zenon_H24f zenon_H1dc zenon_H255. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.10 apply (zenon_L413_); trivial. % 0.92/1.10 apply (zenon_L511_); trivial. % 0.92/1.10 (* end of lemma zenon_L512_ *) % 0.92/1.10 assert (zenon_L513_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c0_1 (a827))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> (~(c0_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Ha4 zenon_H14d zenon_H122 zenon_H4d zenon_H11a zenon_H229 zenon_H2db zenon_H25e zenon_H260 zenon_H25f zenon_H92 zenon_H93 zenon_H94 zenon_H1be zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hd0 zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H21d zenon_Hd zenon_H21b zenon_H24f zenon_H1dc zenon_H255 zenon_H14c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.10 apply (zenon_L510_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.10 apply (zenon_L509_); trivial. % 0.92/1.10 apply (zenon_L511_); trivial. % 0.92/1.10 apply (zenon_L512_); trivial. % 0.92/1.10 (* end of lemma zenon_L513_ *) % 0.92/1.10 assert (zenon_L514_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c0_1 (a827))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H14d zenon_H122 zenon_H4d zenon_H11a zenon_H229 zenon_H2db zenon_H25e zenon_H260 zenon_H25f zenon_H1be zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hd0 zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H21d zenon_Hd zenon_H21b zenon_H24f zenon_H1dc zenon_H255 zenon_H14c zenon_H1 zenon_H3 zenon_H7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.10 apply (zenon_L4_); trivial. % 0.92/1.10 apply (zenon_L513_); trivial. % 0.92/1.10 (* end of lemma zenon_L514_ *) % 0.92/1.10 assert (zenon_L515_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(hskp7)) -> (~(hskp14)) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1b7 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H1 zenon_H9 zenon_H92 zenon_H93 zenon_H94 zenon_Hf2 zenon_H1fc zenon_H1a zenon_H1bf zenon_H1c0. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.92/1.10 apply (zenon_L112_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.92/1.10 apply (zenon_L419_); trivial. % 0.92/1.10 apply (zenon_L148_); trivial. % 0.92/1.10 (* end of lemma zenon_L515_ *) % 0.92/1.10 assert (zenon_L516_ : ((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (~(hskp14)) -> (~(hskp7)) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp0)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H121 zenon_H255 zenon_H1c0 zenon_H1bf zenon_Hf2 zenon_H94 zenon_H93 zenon_H92 zenon_H9 zenon_H1 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1b7 zenon_H1dc. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H1a. zenon_intro zenon_H123. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_Hfc. zenon_intro zenon_H124. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfd. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.92/1.10 apply (zenon_L66_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L515_); trivial. % 0.92/1.10 exact (zenon_H1dc zenon_H1dd). % 0.92/1.10 (* end of lemma zenon_L516_ *) % 0.92/1.10 assert (zenon_L517_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c0_1 (a827))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> (~(c0_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c0_1 (a835))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H14c zenon_H2db zenon_H25e zenon_H260 zenon_H25f zenon_H92 zenon_H93 zenon_H94 zenon_H1be zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hd0 zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H1a zenon_H9 zenon_H1 zenon_Hf2 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H1dc zenon_H255. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.92/1.10 apply (zenon_L508_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L515_); trivial. % 0.92/1.10 exact (zenon_H1dc zenon_H1dd). % 0.92/1.10 apply (zenon_L516_); trivial. % 0.92/1.10 (* end of lemma zenon_L517_ *) % 0.92/1.10 assert (zenon_L518_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c0_1 (a830))) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H24f zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H4d zenon_H255 zenon_H1dc zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_Hf2 zenon_H1 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_Hd0 zenon_Hcc zenon_H1c0 zenon_H1bf zenon_H1b7 zenon_H1be zenon_H94 zenon_H93 zenon_H92 zenon_H25f zenon_H260 zenon_H25e zenon_H2db zenon_H14c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.10 apply (zenon_L517_); trivial. % 0.92/1.10 apply (zenon_L235_); trivial. % 0.92/1.10 (* end of lemma zenon_L518_ *) % 0.92/1.10 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c0_1 (a830))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H83 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H24f zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H4d zenon_H255 zenon_H1dc zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_Hf2 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_Hd0 zenon_Hcc zenon_H1c0 zenon_H1bf zenon_H1b7 zenon_H1be zenon_H25f zenon_H260 zenon_H25e zenon_H2db zenon_H14c zenon_H1 zenon_H3 zenon_H7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.10 apply (zenon_L4_); trivial. % 0.92/1.10 apply (zenon_L518_); trivial. % 0.92/1.10 (* end of lemma zenon_L519_ *) % 0.92/1.10 assert (zenon_L520_ : ((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> (~(c0_1 (a830))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> (~(c1_1 (a820))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1ba zenon_H1a1 zenon_Ha3 zenon_H83 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H24f zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H4d zenon_Hf2 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H1be zenon_H25f zenon_H260 zenon_H25e zenon_H2db zenon_H1 zenon_H3 zenon_H7 zenon_H296 zenon_H297 zenon_H298 zenon_H299 zenon_Hd0 zenon_Hcc zenon_H1b7 zenon_H1c0 zenon_H1bf zenon_H1dc zenon_H255 zenon_H14c zenon_H2ae. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.10 apply (zenon_L396_); trivial. % 0.92/1.10 apply (zenon_L519_); trivial. % 0.92/1.10 (* end of lemma zenon_L520_ *) % 0.92/1.10 assert (zenon_L521_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((hskp14)\/(hskp24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a827)) -> (c2_1 (a827)) -> (~(c0_1 (a827))) -> (~(c1_1 (a834))) -> (c0_1 (a834)) -> (c2_1 (a834)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H4d zenon_H14c zenon_H86 zenon_Hf2 zenon_H1 zenon_H25f zenon_H260 zenon_H25e zenon_H22e zenon_H22f zenon_H230 zenon_H1b7 zenon_Ha2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.10 apply (zenon_L405_); trivial. % 0.92/1.10 apply (zenon_L235_); trivial. % 0.92/1.10 (* end of lemma zenon_L521_ *) % 0.92/1.10 assert (zenon_L522_ : ((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((hskp14)\/(hskp24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H238 zenon_Ha3 zenon_H83 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H24f zenon_Hcc zenon_Hd0 zenon_H1c0 zenon_H1bf zenon_H1be zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1dc zenon_H255 zenon_H4d zenon_H14c zenon_H86 zenon_Hf2 zenon_H25f zenon_H260 zenon_H25e zenon_H1b7 zenon_Ha2 zenon_H1 zenon_H3 zenon_H7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.10 apply (zenon_L4_); trivial. % 0.92/1.10 apply (zenon_L521_); trivial. % 0.92/1.10 (* end of lemma zenon_L522_ *) % 0.92/1.10 assert (zenon_L523_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c1_1 (a820))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp21)) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H14c zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H299 zenon_H297 zenon_H298 zenon_H1b7 zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H270 zenon_H5 zenon_H272 zenon_H122. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_L263_); trivial. % 0.92/1.10 apply (zenon_L394_); trivial. % 0.92/1.10 (* end of lemma zenon_L523_ *) % 0.92/1.10 assert (zenon_L524_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c1_1 (a820))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H149 zenon_H14c zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H299 zenon_H297 zenon_H298 zenon_H1b7 zenon_H255 zenon_H1dc zenon_H246 zenon_H247 zenon_H248 zenon_H20a zenon_H20b zenon_H20c zenon_H253 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H147 zenon_H2a zenon_H1e zenon_H1d zenon_H4d zenon_H122. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.10 apply (zenon_L282_); trivial. % 0.92/1.10 apply (zenon_L394_); trivial. % 0.92/1.10 (* end of lemma zenon_L524_ *) % 0.92/1.10 assert (zenon_L525_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a835))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c0_1 (a830))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H19e zenon_H83 zenon_H14d zenon_H122 zenon_H229 zenon_H11a zenon_H24f zenon_H253 zenon_H20c zenon_H20b zenon_H20a zenon_H248 zenon_H247 zenon_H246 zenon_H255 zenon_H1dc zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_Hf2 zenon_H1 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_Hd0 zenon_Hcc zenon_H1c0 zenon_H1bf zenon_H1b7 zenon_H1be zenon_H25f zenon_H260 zenon_H25e zenon_H2db zenon_H14c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.10 apply (zenon_L517_); trivial. % 0.92/1.10 apply (zenon_L350_); trivial. % 0.92/1.10 (* end of lemma zenon_L525_ *) % 0.92/1.10 assert (zenon_L526_ : (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H25 zenon_H1a zenon_H2ed zenon_H2ee zenon_H2ef. % 0.92/1.10 generalize (zenon_H25 (a816)). zenon_intro zenon_H2f0. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H2f0); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 exact (zenon_H19 zenon_H1a). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H2f2 ]. % 0.92/1.10 exact (zenon_H2ed zenon_H2f3). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H2f4 ]. % 0.92/1.10 exact (zenon_H2f5 zenon_H2ee). % 0.92/1.10 exact (zenon_H2f4 zenon_H2ef). % 0.92/1.10 (* end of lemma zenon_L526_ *) % 0.92/1.10 assert (zenon_L527_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (c0_1 (a816)) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26)))))) -> (c3_1 (a816)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H29 zenon_H1a zenon_H2ee zenon_H33 zenon_H2ef. % 0.92/1.10 generalize (zenon_H29 (a816)). zenon_intro zenon_H2f6. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H2f6); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f7 ]. % 0.92/1.10 exact (zenon_H19 zenon_H1a). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H2f8 ]. % 0.92/1.10 exact (zenon_H2f5 zenon_H2ee). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H2f4 ]. % 0.92/1.10 generalize (zenon_H33 (a816)). zenon_intro zenon_H2fa. % 0.92/1.10 apply (zenon_imply_s _ _ zenon_H2fa); [ zenon_intro zenon_H19 | zenon_intro zenon_H2fb ]. % 0.92/1.10 exact (zenon_H19 zenon_H1a). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H2fc | zenon_intro zenon_H2f2 ]. % 0.92/1.10 exact (zenon_H2f9 zenon_H2fc). % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H2f4 ]. % 0.92/1.10 exact (zenon_H2f5 zenon_H2ee). % 0.92/1.10 exact (zenon_H2f4 zenon_H2ef). % 0.92/1.10 exact (zenon_H2f4 zenon_H2ef). % 0.92/1.10 (* end of lemma zenon_L527_ *) % 0.92/1.10 assert (zenon_L528_ : ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(c2_1 (a816))) -> (c3_1 (a816)) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26)))))) -> (c0_1 (a816)) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H31 zenon_H2ed zenon_H2ef zenon_H33 zenon_H2ee zenon_H1a zenon_H2f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 0.92/1.10 apply (zenon_L526_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H29 | zenon_intro zenon_H30 ]. % 0.92/1.10 apply (zenon_L527_); trivial. % 0.92/1.10 exact (zenon_H2f zenon_H30). % 0.92/1.10 (* end of lemma zenon_L528_ *) % 0.92/1.10 assert (zenon_L529_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c3_1 (a816)) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26)))))) -> (c0_1 (a816)) -> (c3_1 (a865)) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H48 zenon_H2ef zenon_H33 zenon_H2ee zenon_H51 zenon_H50 zenon_H4f zenon_H1a zenon_H46. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H29 | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_L527_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.92/1.10 apply (zenon_L26_); trivial. % 0.92/1.10 exact (zenon_H46 zenon_H47). % 0.92/1.10 (* end of lemma zenon_L529_ *) % 0.92/1.10 assert (zenon_L530_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H5c zenon_H4d zenon_H46 zenon_H2ee zenon_H2ef zenon_H48 zenon_H1d zenon_H2a zenon_H1e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.92/1.10 apply (zenon_L27_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.92/1.10 apply (zenon_L529_); trivial. % 0.92/1.10 apply (zenon_L24_); trivial. % 0.92/1.10 (* end of lemma zenon_L530_ *) % 0.92/1.10 assert (zenon_L531_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Ha4 zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H4d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.92/1.10 apply (zenon_L18_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.92/1.10 apply (zenon_L528_); trivial. % 0.92/1.10 apply (zenon_L24_); trivial. % 0.92/1.10 apply (zenon_L530_); trivial. % 0.92/1.10 (* end of lemma zenon_L531_ *) % 0.92/1.10 assert (zenon_L532_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Ha3 zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H4d zenon_H1 zenon_H3 zenon_H7. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.10 apply (zenon_L4_); trivial. % 0.92/1.10 apply (zenon_L531_); trivial. % 0.92/1.10 (* end of lemma zenon_L532_ *) % 0.92/1.10 assert (zenon_L533_ : ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (c3_1 (a826)) -> (c2_1 (a826)) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54)))))) -> (c0_1 (a826)) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H36 zenon_H41 zenon_H10e zenon_H35 zenon_H1a zenon_H2f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 0.92/1.10 apply (zenon_L526_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H29 | zenon_intro zenon_H30 ]. % 0.92/1.10 apply (zenon_L124_); trivial. % 0.92/1.10 exact (zenon_H2f zenon_H30). % 0.92/1.10 (* end of lemma zenon_L533_ *) % 0.92/1.10 assert (zenon_L534_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp29)) -> (ndr1_0) -> (c0_1 (a826)) -> (c2_1 (a826)) -> (c3_1 (a826)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(hskp20)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H11a zenon_H2f zenon_H1a zenon_H35 zenon_H41 zenon_H36 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H118. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H33 | zenon_intro zenon_H11b ]. % 0.92/1.10 apply (zenon_L528_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10e | zenon_intro zenon_H119 ]. % 0.92/1.10 apply (zenon_L533_); trivial. % 0.92/1.10 exact (zenon_H118 zenon_H119). % 0.92/1.10 (* end of lemma zenon_L534_ *) % 0.92/1.10 assert (zenon_L535_ : ((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a862)) -> (c0_1 (a862)) -> (~(c1_1 (a862))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H58 zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H107 zenon_H106 zenon_H105 zenon_H147 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H118 zenon_H11a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.10 apply (zenon_L534_); trivial. % 0.92/1.10 apply (zenon_L197_); trivial. % 0.92/1.10 (* end of lemma zenon_L535_ *) % 0.92/1.10 assert (zenon_L536_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H11c zenon_H5f zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H147 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H118 zenon_H11a zenon_H13 zenon_H15 zenon_H17. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.10 apply (zenon_L12_); trivial. % 0.92/1.10 apply (zenon_L535_); trivial. % 0.92/1.10 (* end of lemma zenon_L536_ *) % 0.92/1.10 assert (zenon_L537_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H122 zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H147 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H118 zenon_H11a zenon_H17 zenon_H15 zenon_H13 zenon_Heb zenon_Hed zenon_H5f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.10 apply (zenon_L188_); 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_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H14d zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H5f zenon_Hed zenon_Heb zenon_H13 zenon_H15 zenon_H17 zenon_H11a zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H147 zenon_H200 zenon_H1c0 zenon_H1bf zenon_H1b7 zenon_H59 zenon_H122. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.10 apply (zenon_L537_); trivial. % 0.92/1.10 apply (zenon_L200_); trivial. % 0.92/1.10 (* end of lemma zenon_L538_ *) % 0.92/1.10 assert (zenon_L539_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H7e zenon_H7a zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1d zenon_H2a zenon_H1e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.92/1.10 apply (zenon_L30_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.92/1.10 apply (zenon_L526_); trivial. % 0.92/1.10 apply (zenon_L24_); trivial. % 0.92/1.10 (* end of lemma zenon_L539_ *) % 0.92/1.10 assert (zenon_L540_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Ha4 zenon_H78 zenon_H7a zenon_H122 zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H147 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H17 zenon_H15 zenon_Heb zenon_Hed zenon_H5f zenon_H4d zenon_H14d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.10 apply (zenon_L538_); 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_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1fc zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1a zenon_He9. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H250 ]. % 0.92/1.10 apply (zenon_L148_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H25 | zenon_intro zenon_Hea ]. % 0.92/1.10 apply (zenon_L526_); trivial. % 0.92/1.10 exact (zenon_He9 zenon_Hea). % 0.92/1.10 (* end of lemma zenon_L541_ *) % 0.92/1.10 assert (zenon_L542_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> (~(hskp27)) -> (ndr1_0) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> (~(hskp23)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1ff zenon_H11 zenon_H1a zenon_H1bf zenon_H1c0 zenon_H2ed zenon_H2ee zenon_H2ef zenon_He9 zenon_H24f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H1fc | zenon_intro zenon_H12 ]. % 0.92/1.10 apply (zenon_L541_); trivial. % 0.92/1.10 exact (zenon_H11 zenon_H12). % 0.92/1.10 (* end of lemma zenon_L542_ *) % 0.92/1.10 assert (zenon_L543_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H5f zenon_Hed zenon_Heb zenon_H24f zenon_He9 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1a zenon_H1ff. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.10 apply (zenon_L542_); trivial. % 0.92/1.10 apply (zenon_L187_); trivial. % 0.92/1.10 (* end of lemma zenon_L543_ *) % 0.92/1.10 assert (zenon_L544_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1f4 zenon_H14d zenon_H5f zenon_Hed zenon_Heb zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1ff zenon_H11a zenon_H19a zenon_H25c zenon_H122. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.10 apply (zenon_L543_); trivial. % 0.92/1.10 apply (zenon_L342_); trivial. % 0.92/1.10 apply (zenon_L226_); trivial. % 0.92/1.10 (* end of lemma zenon_L544_ *) % 0.92/1.10 assert (zenon_L545_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1ef zenon_H1cd zenon_H1cc zenon_H1cb zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1a zenon_H15. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H10f | zenon_intro zenon_H1f0 ]. % 0.92/1.10 apply (zenon_L122_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H25 | zenon_intro zenon_H16 ]. % 0.92/1.10 apply (zenon_L526_); trivial. % 0.92/1.10 exact (zenon_H15 zenon_H16). % 0.92/1.10 (* end of lemma zenon_L545_ *) % 0.92/1.10 assert (zenon_L546_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp29)) -> (c0_1 (a816)) -> (c3_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a848)) -> (c2_1 (a848)) -> (~(c1_1 (a848))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H11a zenon_H2f zenon_H2ee zenon_H2ef zenon_H2ed zenon_H31 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H1a zenon_H118. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H33 | zenon_intro zenon_H11b ]. % 0.92/1.10 apply (zenon_L528_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10e | zenon_intro zenon_H119 ]. % 0.92/1.10 apply (zenon_L133_); trivial. % 0.92/1.10 exact (zenon_H118 zenon_H119). % 0.92/1.10 (* end of lemma zenon_L546_ *) % 0.92/1.10 assert (zenon_L547_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp8)) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c3_1 (a848)) -> (c2_1 (a848)) -> (~(c1_1 (a848))) -> (~(hskp20)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H5c zenon_H11a zenon_H46 zenon_H2ee zenon_H2ef zenon_H48 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H118. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H33 | zenon_intro zenon_H11b ]. % 0.92/1.10 apply (zenon_L529_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10e | zenon_intro zenon_H119 ]. % 0.92/1.10 apply (zenon_L133_); trivial. % 0.92/1.10 exact (zenon_H118 zenon_H119). % 0.92/1.10 (* end of lemma zenon_L547_ *) % 0.92/1.10 assert (zenon_L548_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (ndr1_0) -> (~(c1_1 (a848))) -> (c2_1 (a848)) -> (c3_1 (a848)) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H118 zenon_H11a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 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_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp13)) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1f3 zenon_H14d zenon_H25c zenon_H19a zenon_H11a zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H48 zenon_H46 zenon_H59 zenon_H1da zenon_H5 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H18c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.10 apply (zenon_L319_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. 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_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.10 apply (zenon_L548_); trivial. % 0.92/1.10 apply (zenon_L226_); trivial. % 0.92/1.10 (* end of lemma zenon_L549_ *) % 0.92/1.10 assert (zenon_L550_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1f4 zenon_Ha3 zenon_H4d zenon_H18c zenon_H177 zenon_H1da zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H19a zenon_H25c zenon_H14d zenon_H1f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.10 apply (zenon_L549_); trivial. % 0.92/1.10 apply (zenon_L531_); trivial. % 0.92/1.10 (* end of lemma zenon_L550_ *) % 0.92/1.10 assert (zenon_L551_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(hskp23)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H5c zenon_H24f zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1bf zenon_H1c0 zenon_H200 zenon_H2ef zenon_H2ee zenon_H2ed zenon_He9. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H250 ]. % 0.92/1.10 apply (zenon_L152_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H25 | zenon_intro zenon_Hea ]. % 0.92/1.10 apply (zenon_L526_); trivial. % 0.92/1.10 exact (zenon_He9 zenon_Hea). % 0.92/1.10 (* end of lemma zenon_L551_ *) % 0.92/1.10 assert (zenon_L552_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a848)) -> (c2_1 (a848)) -> (~(c1_1 (a848))) -> (ndr1_0) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H122 zenon_H11a zenon_H118 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H1a zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H200 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1c0 zenon_H1bf zenon_H24f zenon_H59. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.10 apply (zenon_L546_); trivial. % 0.92/1.10 apply (zenon_L551_); trivial. % 0.92/1.10 apply (zenon_L275_); trivial. % 0.92/1.10 (* end of lemma zenon_L552_ *) % 0.92/1.10 assert (zenon_L553_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp13)) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1f3 zenon_H14d zenon_H25c zenon_H19a zenon_H59 zenon_H24f zenon_H1bf zenon_H1c0 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H200 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H122 zenon_H1da zenon_H5 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H18c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.10 apply (zenon_L319_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. 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_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.10 apply (zenon_L552_); trivial. % 0.92/1.10 apply (zenon_L226_); trivial. % 0.92/1.10 (* end of lemma zenon_L553_ *) % 0.92/1.10 assert (zenon_L554_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(hskp29)) -> (ndr1_0) -> (c0_1 (a826)) -> (c2_1 (a826)) -> (c3_1 (a826)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(hskp16)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d8 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H2f zenon_H1a zenon_H35 zenon_H41 zenon_H36 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H1d6. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H10f | zenon_intro zenon_H1d9 ]. % 0.92/1.10 apply (zenon_L122_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H10e | zenon_intro zenon_H1d7 ]. % 0.92/1.10 apply (zenon_L533_); trivial. % 0.92/1.10 exact (zenon_H1d6 zenon_H1d7). % 0.92/1.10 (* end of lemma zenon_L554_ *) % 0.92/1.10 assert (zenon_L555_ : ((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp23)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H58 zenon_H59 zenon_H24f zenon_He9 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1d6 zenon_H1d8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.10 apply (zenon_L554_); trivial. % 0.92/1.10 apply (zenon_L551_); trivial. % 0.92/1.10 (* end of lemma zenon_L555_ *) % 0.92/1.10 assert (zenon_L556_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H5f zenon_H59 zenon_H200 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H31 zenon_H1d6 zenon_H1d8 zenon_H24f zenon_He9 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1a zenon_H1ff. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.10 apply (zenon_L542_); trivial. % 0.92/1.10 apply (zenon_L555_); trivial. % 0.92/1.10 (* end of lemma zenon_L556_ *) % 0.92/1.10 assert (zenon_L557_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (c3_1 (a862)) -> (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c1_1 (a862))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d8 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H107 zenon_H144 zenon_H105 zenon_H1a zenon_H1d6. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H10f | zenon_intro zenon_H1d9 ]. % 0.92/1.10 apply (zenon_L122_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H10e | zenon_intro zenon_H1d7 ]. % 0.92/1.10 apply (zenon_L190_); trivial. % 0.92/1.10 exact (zenon_H1d6 zenon_H1d7). % 0.92/1.10 (* end of lemma zenon_L557_ *) % 0.92/1.10 assert (zenon_L558_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H11c zenon_H4d zenon_H1d8 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1d6 zenon_H147 zenon_H1d zenon_H2a zenon_H1e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H10f | zenon_intro zenon_H148 ]. % 0.92/1.10 apply (zenon_L122_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H29 ]. % 0.92/1.10 apply (zenon_L557_); trivial. % 0.92/1.10 apply (zenon_L16_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.92/1.10 apply (zenon_L67_); trivial. % 0.92/1.10 apply (zenon_L24_); trivial. % 0.92/1.10 (* end of lemma zenon_L558_ *) % 0.92/1.10 assert (zenon_L559_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H149 zenon_H4d zenon_H2ef zenon_H2ee zenon_H1cb zenon_H1cc zenon_H1cd zenon_H147 zenon_H1d zenon_H2a zenon_H1e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H10f | zenon_intro zenon_H148 ]. % 0.92/1.10 apply (zenon_L122_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H29 ]. % 0.92/1.10 apply (zenon_L79_); trivial. % 0.92/1.10 apply (zenon_L16_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H10f | zenon_intro zenon_H148 ]. % 0.92/1.10 apply (zenon_L122_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H29 ]. % 0.92/1.10 apply (zenon_L79_); trivial. % 0.92/1.10 apply (zenon_L527_); trivial. % 0.92/1.10 apply (zenon_L24_); trivial. % 0.92/1.10 (* end of lemma zenon_L559_ *) % 0.92/1.10 assert (zenon_L560_ : ((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1e9 zenon_H14d zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H147 zenon_H59 zenon_H24f zenon_H1bf zenon_H1c0 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H200 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H122. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. 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_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.10 apply (zenon_L552_); trivial. % 0.92/1.10 apply (zenon_L559_); trivial. % 0.92/1.10 (* end of lemma zenon_L560_ *) % 0.92/1.10 assert (zenon_L561_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Ha4 zenon_H1f3 zenon_H14d zenon_H11a zenon_H5f zenon_H59 zenon_H200 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H31 zenon_H1d8 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1ff zenon_H147 zenon_H4d zenon_H122. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.10 apply (zenon_L556_); trivial. % 0.92/1.10 apply (zenon_L558_); trivial. % 0.92/1.10 apply (zenon_L560_); trivial. % 0.92/1.10 (* end of lemma zenon_L561_ *) % 0.92/1.10 assert (zenon_L562_ : ((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H202 zenon_H203 zenon_Ha3 zenon_H5f zenon_H1d8 zenon_H1ff zenon_H147 zenon_H4d zenon_H18c zenon_H177 zenon_H1da zenon_H122 zenon_H11a zenon_H31 zenon_H200 zenon_H24f zenon_H59 zenon_H19a zenon_H25c zenon_H14d zenon_H1f3 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H2ed zenon_H2ee zenon_H2ef zenon_H1ef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.10 apply (zenon_L545_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.10 apply (zenon_L553_); trivial. % 0.92/1.10 apply (zenon_L561_); trivial. % 0.92/1.10 (* end of lemma zenon_L562_ *) % 0.92/1.10 assert (zenon_L563_ : ((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H207 zenon_H206 zenon_H5f zenon_H1d8 zenon_H1ff zenon_H147 zenon_H122 zenon_H200 zenon_H24f zenon_H1ef zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f3 zenon_H14d zenon_H25c zenon_H19a zenon_H11a zenon_H31 zenon_H48 zenon_H59 zenon_H1da zenon_H177 zenon_H18c zenon_H4d zenon_Ha3 zenon_H203. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a. zenon_intro zenon_H208. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1cd. zenon_intro zenon_H209. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.10 apply (zenon_L545_); trivial. % 0.92/1.10 apply (zenon_L550_); trivial. % 0.92/1.10 apply (zenon_L562_); trivial. % 0.92/1.10 (* end of lemma zenon_L563_ *) % 0.92/1.10 assert (zenon_L564_ : ((~(hskp7))\/((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H2d4 zenon_H1d8 zenon_H1ef zenon_H1f3 zenon_H1da zenon_H177 zenon_H18c zenon_Ha3 zenon_H59 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H4d zenon_H3 zenon_H7 zenon_H78 zenon_H7a zenon_H122 zenon_H1b7 zenon_H200 zenon_H147 zenon_H11a zenon_H17 zenon_Heb zenon_Hed zenon_H5f zenon_H14d zenon_H25c zenon_H19a zenon_H1ff zenon_H24f zenon_H203 zenon_H206. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.10 apply (zenon_L532_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.10 apply (zenon_L4_); trivial. % 0.92/1.10 apply (zenon_L540_); trivial. % 0.92/1.10 apply (zenon_L544_); 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_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c3_1 (a826)) -> (c2_1 (a826)) -> (forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54)))))) -> (c0_1 (a826)) -> (c3_1 (a865)) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H48 zenon_H36 zenon_H41 zenon_H10e zenon_H35 zenon_H51 zenon_H50 zenon_H4f zenon_H1a zenon_H46. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H29 | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_L124_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.92/1.10 apply (zenon_L26_); trivial. % 0.92/1.10 exact (zenon_H46 zenon_H47). % 0.92/1.10 (* end of lemma zenon_L565_ *) % 0.92/1.10 assert (zenon_L566_ : ((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H58 zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H118 zenon_H11a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.10 apply (zenon_L534_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H33 | zenon_intro zenon_H11b ]. % 0.92/1.10 apply (zenon_L529_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10e | zenon_intro zenon_H119 ]. % 0.92/1.10 apply (zenon_L565_); trivial. % 0.92/1.10 exact (zenon_H118 zenon_H119). % 0.92/1.10 (* end of lemma zenon_L566_ *) % 0.92/1.10 assert (zenon_L567_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H5f zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H118 zenon_H11a zenon_H13 zenon_H15 zenon_H17. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.10 apply (zenon_L12_); trivial. % 0.92/1.10 apply (zenon_L566_); trivial. % 0.92/1.10 (* end of lemma zenon_L567_ *) % 0.92/1.10 assert (zenon_L568_ : ((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H176 zenon_H14d zenon_H177 zenon_H1ef zenon_H21b zenon_Hd zenon_H21d zenon_H17 zenon_H15 zenon_H13 zenon_H11a zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H48 zenon_H46 zenon_H59 zenon_H5f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L567_); trivial. % 0.92/1.11 apply (zenon_L272_); trivial. % 0.92/1.11 (* end of lemma zenon_L568_ *) % 0.92/1.11 assert (zenon_L569_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H7e zenon_H21f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H15. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H60 | zenon_intro zenon_H1f0 ]. % 0.92/1.11 apply (zenon_L30_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H25 | zenon_intro zenon_H16 ]. % 0.92/1.11 apply (zenon_L526_); trivial. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 (* end of lemma zenon_L569_ *) % 0.92/1.11 assert (zenon_L570_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> (~(hskp13)) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H77 zenon_H18f zenon_H1f3 zenon_H189 zenon_H5 zenon_H1da zenon_H18c zenon_H14d zenon_H177 zenon_H1ef zenon_H21b zenon_Hd zenon_H21d zenon_H17 zenon_H15 zenon_H11a zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H5f zenon_H155 zenon_H48 zenon_H46 zenon_H160 zenon_H59 zenon_H21f zenon_H78. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.11 apply (zenon_L89_); trivial. % 0.92/1.11 apply (zenon_L568_); trivial. % 0.92/1.11 apply (zenon_L569_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H1a. zenon_intro zenon_H18d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H17d. zenon_intro zenon_H18e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.11 apply (zenon_L129_); trivial. % 0.92/1.11 apply (zenon_L568_); trivial. % 0.92/1.11 apply (zenon_L569_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. 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_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L548_); trivial. % 0.92/1.11 apply (zenon_L174_); trivial. % 0.92/1.11 apply (zenon_L568_); trivial. % 0.92/1.11 apply (zenon_L569_); trivial. % 0.92/1.11 (* end of lemma zenon_L570_ *) % 0.92/1.11 assert (zenon_L571_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1a zenon_H270 zenon_H5 zenon_H272. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H33 | zenon_intro zenon_H273 ]. % 0.92/1.11 apply (zenon_L528_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H271 | zenon_intro zenon_H6 ]. % 0.92/1.11 exact (zenon_H270 zenon_H271). % 0.92/1.11 exact (zenon_H5 zenon_H6). % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H33 | zenon_intro zenon_H273 ]. % 0.92/1.11 apply (zenon_L529_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H271 | zenon_intro zenon_H6 ]. % 0.92/1.11 exact (zenon_H270 zenon_H271). % 0.92/1.11 exact (zenon_H5 zenon_H6). % 0.92/1.11 (* end of lemma zenon_L571_ *) % 0.92/1.11 assert (zenon_L572_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1ef zenon_H275 zenon_H276 zenon_H14e zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1a zenon_H15. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H10f | zenon_intro zenon_H1f0 ]. % 0.92/1.11 apply (zenon_L472_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H25 | zenon_intro zenon_H16 ]. % 0.92/1.11 apply (zenon_L526_); trivial. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 (* end of lemma zenon_L572_ *) % 0.92/1.11 assert (zenon_L573_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c0_1 (a835))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H229 zenon_H1a8 zenon_H1a9 zenon_H16c zenon_H1a7 zenon_H138 zenon_H137 zenon_H136 zenon_H1ef zenon_H275 zenon_H276 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1a zenon_H15. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.92/1.11 apply (zenon_L178_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.92/1.11 apply (zenon_L79_); trivial. % 0.92/1.11 apply (zenon_L572_); trivial. % 0.92/1.11 (* end of lemma zenon_L573_ *) % 0.92/1.11 assert (zenon_L574_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a855))) -> (~(c1_1 (a855))) -> (~(c0_1 (a855))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H282 zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H136 zenon_H137 zenon_H138 zenon_H1ef zenon_H15 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H229 zenon_H165 zenon_H164 zenon_H163. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.11 apply (zenon_L90_); trivial. % 0.92/1.11 apply (zenon_L573_); trivial. % 0.92/1.11 (* end of lemma zenon_L574_ *) % 0.92/1.11 assert (zenon_L575_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a855))) -> (~(c1_1 (a855))) -> (~(c0_1 (a855))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H149 zenon_H285 zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H1ef zenon_H15 zenon_H229 zenon_H165 zenon_H164 zenon_H163 zenon_H272 zenon_H5 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H48 zenon_H46 zenon_H59. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.11 apply (zenon_L571_); trivial. % 0.92/1.11 apply (zenon_L574_); trivial. % 0.92/1.11 (* end of lemma zenon_L575_ *) % 0.92/1.11 assert (zenon_L576_ : ((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H176 zenon_H14d zenon_H285 zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H1ef zenon_H229 zenon_H272 zenon_H5 zenon_H17 zenon_H15 zenon_H13 zenon_H11a zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H48 zenon_H46 zenon_H59 zenon_H5f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L567_); trivial. % 0.92/1.11 apply (zenon_L575_); trivial. % 0.92/1.11 (* end of lemma zenon_L576_ *) % 0.92/1.11 assert (zenon_L577_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp16)) -> (~(hskp13)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c0_1 (a835))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H78 zenon_H21f zenon_H1da zenon_H1d6 zenon_H5 zenon_H5f zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H15 zenon_H17 zenon_H272 zenon_H229 zenon_H1ef zenon_H1a8 zenon_H1a9 zenon_H1a7 zenon_H177 zenon_H285 zenon_H14d zenon_H18c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.11 apply (zenon_L129_); trivial. % 0.92/1.11 apply (zenon_L576_); trivial. % 0.92/1.11 apply (zenon_L569_); trivial. % 0.92/1.11 (* end of lemma zenon_L577_ *) % 0.92/1.11 assert (zenon_L578_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c1_1 (a844))) -> (~(c3_1 (a844))) -> (c2_1 (a844)) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H282 zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H136 zenon_H137 zenon_H138 zenon_H1ef zenon_H15 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H229 zenon_H17b zenon_H17c zenon_H17d zenon_H6a zenon_H6b zenon_H7d zenon_H153 zenon_H189. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.11 apply (zenon_L94_); trivial. % 0.92/1.11 apply (zenon_L573_); trivial. % 0.92/1.11 (* end of lemma zenon_L578_ *) % 0.92/1.11 assert (zenon_L579_ : ((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a848))) -> (c2_1 (a848)) -> (c3_1 (a848)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H176 zenon_H14d zenon_H285 zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H1ef zenon_H229 zenon_H272 zenon_H5 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H59 zenon_H17 zenon_H15 zenon_H13 zenon_H48 zenon_H46 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H11a zenon_H5f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L169_); trivial. % 0.92/1.11 apply (zenon_L575_); trivial. % 0.92/1.11 (* end of lemma zenon_L579_ *) % 0.92/1.11 assert (zenon_L580_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H77 zenon_H18f zenon_H1f3 zenon_H189 zenon_H1da zenon_H18c zenon_H14d zenon_H285 zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H1ef zenon_H229 zenon_H272 zenon_H5 zenon_H17 zenon_H15 zenon_H11a zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H5f zenon_H155 zenon_H48 zenon_H46 zenon_H160 zenon_H59 zenon_H21f zenon_H78. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.11 apply (zenon_L89_); trivial. % 0.92/1.11 apply (zenon_L576_); trivial. % 0.92/1.11 apply (zenon_L569_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H1a. zenon_intro zenon_H18d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H17d. zenon_intro zenon_H18e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.11 apply (zenon_L577_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. 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_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L567_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.11 apply (zenon_L571_); trivial. % 0.92/1.11 apply (zenon_L578_); trivial. % 0.92/1.11 apply (zenon_L579_); trivial. % 0.92/1.11 apply (zenon_L569_); trivial. % 0.92/1.11 (* end of lemma zenon_L580_ *) % 0.92/1.11 assert (zenon_L581_ : (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X)))))) -> (ndr1_0) -> (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> (~(c2_1 (a816))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H10f zenon_H1a zenon_H29 zenon_H2ee zenon_H2ef zenon_H2ed. % 0.92/1.11 generalize (zenon_H10f (a816)). zenon_intro zenon_H2fd. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H2fd); [ zenon_intro zenon_H19 | zenon_intro zenon_H2fe ]. % 0.92/1.11 exact (zenon_H19 zenon_H1a). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H2fc | zenon_intro zenon_H2ff ]. % 0.92/1.11 generalize (zenon_H29 (a816)). zenon_intro zenon_H2f6. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H2f6); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f7 ]. % 0.92/1.11 exact (zenon_H19 zenon_H1a). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H2f8 ]. % 0.92/1.11 exact (zenon_H2f5 zenon_H2ee). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H2f4 ]. % 0.92/1.11 exact (zenon_H2f9 zenon_H2fc). % 0.92/1.11 exact (zenon_H2f4 zenon_H2ef). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H2f5 ]. % 0.92/1.11 exact (zenon_H2ed zenon_H2f3). % 0.92/1.11 exact (zenon_H2f5 zenon_H2ee). % 0.92/1.11 (* end of lemma zenon_L581_ *) % 0.92/1.11 assert (zenon_L582_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(hskp8)) -> (c0_1 (a826)) -> (c3_1 (a826)) -> (c2_1 (a826)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(hskp29)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(c2_1 (a816))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H4d zenon_H16c zenon_H46 zenon_H35 zenon_H36 zenon_H41 zenon_H48 zenon_H1b7 zenon_H20c zenon_H20b zenon_H20a zenon_H230 zenon_H22f zenon_H22e zenon_H147 zenon_H2f zenon_H31 zenon_H138 zenon_H137 zenon_H136 zenon_H1ef zenon_H2ed zenon_H2ef zenon_H2ee zenon_H7d zenon_H6b zenon_H6a zenon_H1a zenon_H15. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.92/1.11 apply (zenon_L171_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.92/1.11 apply (zenon_L23_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.92/1.11 apply (zenon_L301_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.92/1.11 apply (zenon_L184_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H10f | zenon_intro zenon_H148 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 0.92/1.11 apply (zenon_L526_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H29 | zenon_intro zenon_H30 ]. % 0.92/1.11 apply (zenon_L581_); trivial. % 0.92/1.11 exact (zenon_H2f zenon_H30). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H29 ]. % 0.92/1.11 apply (zenon_L79_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H10f | zenon_intro zenon_H1f0 ]. % 0.92/1.11 apply (zenon_L581_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H25 | zenon_intro zenon_H16 ]. % 0.92/1.11 apply (zenon_L136_); trivial. % 0.92/1.11 exact (zenon_H15 zenon_H16). % 0.92/1.11 (* end of lemma zenon_L582_ *) % 0.92/1.11 assert (zenon_L583_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (c3_1 (a865)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H29 zenon_H1a zenon_H225 zenon_H4f zenon_H50 zenon_H51. % 0.92/1.11 generalize (zenon_H29 (a865)). zenon_intro zenon_H157. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H157); [ zenon_intro zenon_H19 | zenon_intro zenon_H158 ]. % 0.92/1.11 exact (zenon_H19 zenon_H1a). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ]. % 0.92/1.11 generalize (zenon_H225 (a865)). zenon_intro zenon_H300. % 0.92/1.11 apply (zenon_imply_s _ _ zenon_H300); [ zenon_intro zenon_H19 | zenon_intro zenon_H301 ]. % 0.92/1.11 exact (zenon_H19 zenon_H1a). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H15d | zenon_intro zenon_H302 ]. % 0.92/1.11 exact (zenon_H15a zenon_H15d). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H55 | zenon_intro zenon_H57 ]. % 0.92/1.11 exact (zenon_H55 zenon_H4f). % 0.92/1.11 exact (zenon_H57 zenon_H50). % 0.92/1.11 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H55 | zenon_intro zenon_H56 ]. % 0.92/1.11 exact (zenon_H55 zenon_H4f). % 0.92/1.11 exact (zenon_H56 zenon_H51). % 0.92/1.11 (* end of lemma zenon_L583_ *) % 0.92/1.11 assert (zenon_L584_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (c3_1 (a865)) -> (c2_1 (a865)) -> (c1_1 (a865)) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H48 zenon_H225 zenon_H51 zenon_H50 zenon_H4f zenon_H1a zenon_H46. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H29 | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L583_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.92/1.11 apply (zenon_L26_); trivial. % 0.92/1.11 exact (zenon_H46 zenon_H47). % 0.92/1.11 (* end of lemma zenon_L584_ *) % 0.92/1.11 assert (zenon_L585_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H5c zenon_H229 zenon_H46 zenon_H48 zenon_H138 zenon_H137 zenon_H136 zenon_H200 zenon_H274 zenon_H275 zenon_H276. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.92/1.11 apply (zenon_L584_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.92/1.11 apply (zenon_L79_); trivial. % 0.92/1.11 apply (zenon_L473_); trivial. % 0.92/1.11 (* end of lemma zenon_L585_ *) % 0.92/1.11 assert (zenon_L586_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H77 zenon_H78 zenon_H21f zenon_H189 zenon_H230 zenon_H22f zenon_H22e zenon_H5f zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H15 zenon_H17 zenon_H5 zenon_H272 zenon_H177 zenon_H1ef zenon_H1b7 zenon_H147 zenon_H20c zenon_H20b zenon_H20a zenon_H4d zenon_H200 zenon_H229 zenon_H285 zenon_H14d zenon_H18c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.11 apply (zenon_L185_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L567_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.11 apply (zenon_L571_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.11 apply (zenon_L12_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.11 apply (zenon_L90_); trivial. % 0.92/1.11 apply (zenon_L582_); trivial. % 0.92/1.11 apply (zenon_L585_); trivial. % 0.92/1.11 apply (zenon_L569_); trivial. % 0.92/1.11 (* end of lemma zenon_L586_ *) % 0.92/1.11 assert (zenon_L587_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((hskp12)\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a834))/\((c2_1 (a834))/\(~(c1_1 (a834))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H203 zenon_H19a zenon_H25c zenon_H1b9 zenon_H285 zenon_H229 zenon_H272 zenon_H1a2 zenon_Ha3 zenon_H4d zenon_Hf zenon_H78 zenon_H21f zenon_H59 zenon_H160 zenon_H46 zenon_H48 zenon_H155 zenon_H5f zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H17 zenon_H21d zenon_H1ef zenon_H177 zenon_H14d zenon_H18c zenon_H1da zenon_H189 zenon_H1f3 zenon_H18f zenon_H83 zenon_H86 zenon_H9b zenon_H9e zenon_Ha2 zenon_H1a1 zenon_H200 zenon_H20a zenon_H20b zenon_H20c zenon_H147 zenon_H1b7 zenon_H237. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.11 apply (zenon_L8_); trivial. % 0.92/1.11 apply (zenon_L570_); trivial. % 0.92/1.11 apply (zenon_L531_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.11 apply (zenon_L41_); trivial. % 0.92/1.11 apply (zenon_L570_); trivial. % 0.92/1.11 apply (zenon_L531_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.11 apply (zenon_L105_); trivial. % 0.92/1.11 apply (zenon_L580_); trivial. % 0.92/1.11 apply (zenon_L531_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.11 apply (zenon_L41_); trivial. % 0.92/1.11 apply (zenon_L580_); trivial. % 0.92/1.11 apply (zenon_L531_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.11 apply (zenon_L105_); trivial. % 0.92/1.11 apply (zenon_L586_); trivial. % 0.92/1.11 apply (zenon_L531_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.11 apply (zenon_L41_); trivial. % 0.92/1.11 apply (zenon_L586_); trivial. % 0.92/1.11 apply (zenon_L531_); trivial. % 0.92/1.11 apply (zenon_L550_); trivial. % 0.92/1.11 (* end of lemma zenon_L587_ *) % 0.92/1.11 assert (zenon_L588_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1be zenon_Hfb zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1a zenon_He9. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H250 ]. % 0.92/1.11 apply (zenon_L216_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H25 | zenon_intro zenon_Hea ]. % 0.92/1.11 apply (zenon_L526_); trivial. % 0.92/1.11 exact (zenon_He9 zenon_Hea). % 0.92/1.11 (* end of lemma zenon_L588_ *) % 0.92/1.11 assert (zenon_L589_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(c0_1 (a830))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp0)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H255 zenon_H1be zenon_He9 zenon_H1a zenon_H2ed zenon_H2ee zenon_H2ef zenon_H1bf zenon_H1c0 zenon_H24f zenon_H1dc. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.92/1.11 apply (zenon_L588_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L541_); trivial. % 0.92/1.11 exact (zenon_H1dc zenon_H1dd). % 0.92/1.11 (* end of lemma zenon_L589_ *) % 0.92/1.11 assert (zenon_L590_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H147 zenon_H31 zenon_H118 zenon_H11a zenon_H13 zenon_H15 zenon_H17 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H1dc zenon_H255. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.11 apply (zenon_L589_); trivial. % 0.92/1.11 apply (zenon_L536_); trivial. % 0.92/1.11 (* end of lemma zenon_L590_ *) % 0.92/1.11 assert (zenon_L591_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> (~(hskp21)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H122 zenon_H272 zenon_H5 zenon_H270 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H1dc zenon_H255. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.11 apply (zenon_L589_); trivial. % 0.92/1.11 apply (zenon_L262_); trivial. % 0.92/1.11 (* end of lemma zenon_L591_ *) % 0.92/1.11 assert (zenon_L592_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp9)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> (~(hskp2)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H282 zenon_H25c zenon_H15 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H1ef zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H229 zenon_H138 zenon_H137 zenon_H136 zenon_H19a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H16c | zenon_intro zenon_H25d ]. % 0.92/1.11 apply (zenon_L573_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H144 | zenon_intro zenon_H19b ]. % 0.92/1.11 apply (zenon_L79_); trivial. % 0.92/1.11 exact (zenon_H19a zenon_H19b). % 0.92/1.11 (* end of lemma zenon_L592_ *) % 0.92/1.11 assert (zenon_L593_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c2_1 (a835)) -> (c3_1 (a835)) -> (~(c0_1 (a835))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H78 zenon_H21f zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H147 zenon_H31 zenon_H11a zenon_H15 zenon_H17 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H1dc zenon_H255 zenon_H272 zenon_H5 zenon_H229 zenon_H1ef zenon_H1a8 zenon_H1a9 zenon_H1a7 zenon_H19a zenon_H25c zenon_H285 zenon_H14d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L590_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.11 apply (zenon_L591_); trivial. % 0.92/1.11 apply (zenon_L592_); trivial. % 0.92/1.11 apply (zenon_L569_); trivial. % 0.92/1.11 (* end of lemma zenon_L593_ *) % 0.92/1.11 assert (zenon_L594_ : ((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((~(c0_1 X86))\/((~(c2_1 X86))\/(~(c3_1 X86))))))\/((hskp23)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1ba zenon_Ha3 zenon_H7a zenon_Heb zenon_Hed zenon_H4d zenon_H14d zenon_H285 zenon_H25c zenon_H19a zenon_H1ef zenon_H229 zenon_H272 zenon_H255 zenon_H1dc zenon_H1be zenon_H1bf zenon_H1c0 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H17 zenon_H15 zenon_H11a zenon_H31 zenon_H147 zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122 zenon_H21f zenon_H78. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_L593_); trivial. % 0.92/1.11 apply (zenon_L540_); trivial. % 0.92/1.11 (* end of lemma zenon_L594_ *) % 0.92/1.11 assert (zenon_L595_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((hskp14)\/(hskp24)) -> (~(hskp6)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c3_1 X30)\/(~(c1_1 X30))))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c2_1 Z))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a878))/\((~(c0_1 (a878)))/\(~(c3_1 (a878))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H19e zenon_H83 zenon_H78 zenon_H21f zenon_H189 zenon_H230 zenon_H22f zenon_H22e zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H147 zenon_H31 zenon_H11a zenon_H15 zenon_H17 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1dc zenon_H255 zenon_H177 zenon_H1ef zenon_H20c zenon_H20b zenon_H20a zenon_H4d zenon_H19a zenon_H19c zenon_H14d zenon_H18c zenon_H86 zenon_H9b zenon_H9e zenon_Ha2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.11 apply (zenon_L41_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.11 apply (zenon_L185_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L590_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.11 apply (zenon_L589_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H19d ]. % 0.92/1.11 apply (zenon_L304_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H91 | zenon_intro zenon_H19b ]. % 0.92/1.11 apply (zenon_L38_); trivial. % 0.92/1.11 exact (zenon_H19a zenon_H19b). % 0.92/1.11 apply (zenon_L569_); trivial. % 0.92/1.11 (* end of lemma zenon_L595_ *) % 0.92/1.11 assert (zenon_L596_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H282 zenon_H229 zenon_H260 zenon_H25f zenon_H25e zenon_H138 zenon_H137 zenon_H136 zenon_H1ef zenon_H2ef zenon_H2ee zenon_H2ed zenon_H15. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.92/1.11 apply (zenon_L228_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.92/1.11 apply (zenon_L79_); trivial. % 0.92/1.11 apply (zenon_L572_); trivial. % 0.92/1.11 (* end of lemma zenon_L596_ *) % 0.92/1.11 assert (zenon_L597_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H78 zenon_H21f zenon_H5f zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H15 zenon_H17 zenon_H5 zenon_H272 zenon_H25e zenon_H25f zenon_H260 zenon_H1ef zenon_H229 zenon_H285 zenon_H14d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L567_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.11 apply (zenon_L571_); trivial. % 0.92/1.11 apply (zenon_L596_); trivial. % 0.92/1.11 apply (zenon_L569_); trivial. % 0.92/1.11 (* end of lemma zenon_L597_ *) % 0.92/1.11 assert (zenon_L598_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Ha3 zenon_H4d zenon_H14d zenon_H285 zenon_H229 zenon_H1ef zenon_H260 zenon_H25f zenon_H25e zenon_H272 zenon_H17 zenon_H15 zenon_H11a zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H48 zenon_H46 zenon_H59 zenon_H5f zenon_H21f zenon_H78. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_L597_); trivial. % 0.92/1.11 apply (zenon_L531_); trivial. % 0.92/1.11 (* end of lemma zenon_L598_ *) % 0.92/1.11 assert (zenon_L599_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H203 zenon_H18c zenon_H177 zenon_H1da zenon_H19a zenon_H25c zenon_H1f3 zenon_H78 zenon_H21f zenon_H5f zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H17 zenon_H272 zenon_H25e zenon_H25f zenon_H260 zenon_H1ef zenon_H229 zenon_H285 zenon_H14d zenon_H4d zenon_Ha3. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.11 apply (zenon_L598_); trivial. % 0.92/1.11 apply (zenon_L550_); trivial. % 0.92/1.11 (* end of lemma zenon_L599_ *) % 0.92/1.11 assert (zenon_L600_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(hskp9)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H11c zenon_H229 zenon_H260 zenon_H25f zenon_H25e zenon_H118 zenon_H11a zenon_H1ef zenon_H275 zenon_H276 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H15. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.92/1.11 apply (zenon_L228_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.92/1.11 apply (zenon_L191_); trivial. % 0.92/1.11 apply (zenon_L572_); trivial. % 0.92/1.11 (* end of lemma zenon_L600_ *) % 0.92/1.11 assert (zenon_L601_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H282 zenon_H122 zenon_H229 zenon_H15 zenon_H1ef zenon_H118 zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1dc zenon_H255. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.11 apply (zenon_L589_); trivial. % 0.92/1.11 apply (zenon_L600_); trivial. % 0.92/1.11 (* end of lemma zenon_L601_ *) % 0.92/1.11 assert (zenon_L602_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H149 zenon_H285 zenon_H229 zenon_H15 zenon_H1ef zenon_H260 zenon_H25f zenon_H25e zenon_H255 zenon_H1dc zenon_H1be zenon_H1bf zenon_H1c0 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H5 zenon_H272 zenon_H122. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.11 apply (zenon_L591_); trivial. % 0.92/1.11 apply (zenon_L596_); trivial. % 0.92/1.11 (* end of lemma zenon_L602_ *) % 0.92/1.11 assert (zenon_L603_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H122 zenon_H4d zenon_H25e zenon_H25f zenon_H260 zenon_H11a zenon_H118 zenon_H1d zenon_H1e zenon_H2a zenon_H229 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H1dc zenon_H255. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.11 apply (zenon_L589_); trivial. % 0.92/1.11 apply (zenon_L230_); trivial. % 0.92/1.11 (* end of lemma zenon_L603_ *) % 0.92/1.11 assert (zenon_L604_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H149 zenon_H122 zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H147 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1dc zenon_H255. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.11 apply (zenon_L589_); trivial. % 0.92/1.11 apply (zenon_L80_); trivial. % 0.92/1.11 (* end of lemma zenon_L604_ *) % 0.92/1.11 assert (zenon_L605_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Ha3 zenon_H147 zenon_H4d zenon_H285 zenon_H229 zenon_H15 zenon_H1ef zenon_H11a zenon_H260 zenon_H25f zenon_H25e zenon_H255 zenon_H1dc zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H272 zenon_H122 zenon_H14d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.11 apply (zenon_L591_); trivial. % 0.92/1.11 apply (zenon_L601_); trivial. % 0.92/1.11 apply (zenon_L602_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L603_); trivial. % 0.92/1.11 apply (zenon_L604_); trivial. % 0.92/1.11 (* end of lemma zenon_L605_ *) % 0.92/1.11 assert (zenon_L606_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c1_1 (a852)) -> (~(c3_1 (a852))) -> (~(c2_1 (a852))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H24f zenon_H2a4 zenon_H2a3 zenon_H2a2 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1a zenon_He9. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H250 ]. % 0.92/1.11 apply (zenon_L362_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H25 | zenon_intro zenon_Hea ]. % 0.92/1.11 apply (zenon_L526_); trivial. % 0.92/1.11 exact (zenon_He9 zenon_Hea). % 0.92/1.11 (* end of lemma zenon_L606_ *) % 0.92/1.11 assert (zenon_L607_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (ndr1_0) -> (~(c2_1 (a852))) -> (~(c3_1 (a852))) -> (c1_1 (a852)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H147 zenon_H31 zenon_H118 zenon_H11a zenon_H13 zenon_H15 zenon_H17 zenon_H1a zenon_H2a2 zenon_H2a3 zenon_H2a4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.11 apply (zenon_L606_); trivial. % 0.92/1.11 apply (zenon_L536_); trivial. % 0.92/1.11 (* end of lemma zenon_L607_ *) % 0.92/1.11 assert (zenon_L608_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(c2_1 (a852))) -> (~(c3_1 (a852))) -> (c1_1 (a852)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H149 zenon_H122 zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H147 zenon_H2a2 zenon_H2a3 zenon_H2a4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.11 apply (zenon_L606_); trivial. % 0.92/1.11 apply (zenon_L80_); trivial. % 0.92/1.11 (* end of lemma zenon_L608_ *) % 0.92/1.11 assert (zenon_L609_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (c1_1 (a852)) -> (~(c3_1 (a852))) -> (~(c2_1 (a852))) -> (ndr1_0) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H14d zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2a4 zenon_H2a3 zenon_H2a2 zenon_H1a zenon_H17 zenon_H15 zenon_H13 zenon_H11a zenon_H31 zenon_H147 zenon_H200 zenon_H1c0 zenon_H1bf zenon_H1b7 zenon_H59 zenon_H5f zenon_H122. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L607_); trivial. % 0.92/1.11 apply (zenon_L608_); trivial. % 0.92/1.11 (* end of lemma zenon_L609_ *) % 0.92/1.11 assert (zenon_L610_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H2ab zenon_H78 zenon_H21f zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H147 zenon_H31 zenon_H11a zenon_H15 zenon_H17 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H2a zenon_H1e zenon_H1d zenon_H4d zenon_H14d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_L609_); trivial. % 0.92/1.11 apply (zenon_L569_); trivial. % 0.92/1.11 (* end of lemma zenon_L610_ *) % 0.92/1.11 assert (zenon_L611_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> (~(c1_1 (a820))) -> (~(c3_1 (a820))) -> (c0_1 (a820)) -> (~(hskp12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Ha4 zenon_H2ae zenon_H78 zenon_H21f zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H147 zenon_H31 zenon_H11a zenon_H15 zenon_H17 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H4d zenon_H14d zenon_H299 zenon_H298 zenon_H297 zenon_Hb zenon_H296. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.92/1.11 apply (zenon_L361_); trivial. % 0.92/1.11 apply (zenon_L610_); trivial. % 0.92/1.11 (* end of lemma zenon_L611_ *) % 0.92/1.11 assert (zenon_L612_ : ((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))))))\/(hskp2))) -> (~(hskp23)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.92/1.11 do 0 intro. intros zenon_H19c zenon_He9 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H1be zenon_H1bf zenon_H1c0 zenon_H24f zenon_H94 zenon_H93 zenon_H92 zenon_H1a zenon_H19a. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_Hfb | zenon_intro zenon_H19d ]. % 0.92/1.11 apply (zenon_L588_); trivial. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H91 | zenon_intro zenon_H19b ]. % 0.92/1.11 apply (zenon_L38_); trivial. % 0.92/1.11 exact (zenon_H19a zenon_H19b). % 0.92/1.11 (* end of lemma zenon_L612_ *) % 0.92/1.11 assert (zenon_L613_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (ndr1_0) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H147 zenon_H31 zenon_H118 zenon_H11a zenon_H13 zenon_H15 zenon_H17 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1a zenon_H92 zenon_H93 zenon_H94 zenon_H19a zenon_H19c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.11 apply (zenon_L612_); trivial. % 0.92/1.11 apply (zenon_L536_); trivial. % 0.92/1.11 (* end of lemma zenon_L613_ *) % 0.92/1.11 assert (zenon_L614_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(c3_1 (a838))) -> (c0_1 (a838)) -> (c2_1 (a838)) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_Ha4 zenon_H78 zenon_H21f zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H147 zenon_H31 zenon_H11a zenon_H15 zenon_H17 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H92 zenon_H93 zenon_H94 zenon_H19a zenon_H19c zenon_H4d zenon_H14d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L613_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.11 apply (zenon_L612_); trivial. % 0.92/1.11 apply (zenon_L80_); trivial. % 0.92/1.11 apply (zenon_L569_); trivial. % 0.92/1.11 (* end of lemma zenon_L614_ *) % 0.92/1.11 assert (zenon_L615_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H78 zenon_H21f zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H147 zenon_H31 zenon_H11a zenon_H15 zenon_H17 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H19a zenon_H19c zenon_H4d zenon_H14d zenon_H1 zenon_H3 zenon_H7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.11 apply (zenon_L4_); trivial. % 0.92/1.11 apply (zenon_L614_); trivial. % 0.92/1.11 (* end of lemma zenon_L615_ *) % 0.92/1.11 assert (zenon_L616_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a848)) -> (c2_1 (a848)) -> (~(c1_1 (a848))) -> (ndr1_0) -> (~(c2_1 (a852))) -> (~(c3_1 (a852))) -> (c1_1 (a852)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H122 zenon_H11a zenon_H118 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H1a zenon_H2a2 zenon_H2a3 zenon_H2a4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.11 apply (zenon_L606_); trivial. % 0.92/1.11 apply (zenon_L275_); trivial. % 0.92/1.11 (* end of lemma zenon_L616_ *) % 0.92/1.11 assert (zenon_L617_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a848))) -> (c2_1 (a848)) -> (c3_1 (a848)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H2ab zenon_H14d zenon_H25c zenon_H19a zenon_H16f zenon_H16e zenon_H16d zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H11a zenon_H122. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.11 apply (zenon_L616_); trivial. % 0.92/1.11 apply (zenon_L226_); trivial. % 0.92/1.11 (* end of lemma zenon_L617_ *) % 0.92/1.11 assert (zenon_L618_ : ((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> (~(c1_1 (a820))) -> (~(c3_1 (a820))) -> (c0_1 (a820)) -> (~(hskp12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1e9 zenon_H2ae zenon_H14d zenon_H25c zenon_H19a zenon_H16f zenon_H16e zenon_H16d zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H122 zenon_H299 zenon_H298 zenon_H297 zenon_Hb zenon_H296. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. 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_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.92/1.11 apply (zenon_L361_); trivial. % 0.92/1.11 apply (zenon_L617_); trivial. % 0.92/1.11 (* end of lemma zenon_L618_ *) % 0.92/1.11 assert (zenon_L619_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> (~(c1_1 (a820))) -> (~(c3_1 (a820))) -> (c0_1 (a820)) -> (~(hskp12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp13)) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H1f3 zenon_H2ae zenon_H14d zenon_H25c zenon_H19a zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H122 zenon_H299 zenon_H298 zenon_H297 zenon_Hb zenon_H296 zenon_H1da zenon_H5 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H18c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.11 apply (zenon_L319_); trivial. % 0.92/1.11 apply (zenon_L618_); trivial. % 0.92/1.11 (* end of lemma zenon_L619_ *) % 0.92/1.11 assert (zenon_L620_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.11 do 0 intro. intros zenon_H2ab zenon_H14d zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H147 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H16d zenon_H16e zenon_H16f zenon_H11a zenon_H19a zenon_H25c zenon_H122. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.12 apply (zenon_L606_); trivial. % 0.92/1.12 apply (zenon_L342_); trivial. % 0.92/1.12 apply (zenon_L608_); trivial. % 0.92/1.12 (* end of lemma zenon_L620_ *) % 0.92/1.12 assert (zenon_L621_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((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))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H19e zenon_H14d zenon_H19c zenon_H19a zenon_H1be zenon_H1bf zenon_H1c0 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H16d zenon_H16e zenon_H16f zenon_H11a zenon_H25c zenon_H122. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.12 apply (zenon_L612_); trivial. % 0.92/1.12 apply (zenon_L342_); trivial. % 0.92/1.12 apply (zenon_L226_); trivial. % 0.92/1.12 (* end of lemma zenon_L621_ *) % 0.92/1.12 assert (zenon_L622_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((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))))))\/(hskp2))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> (~(c1_1 (a820))) -> (~(c3_1 (a820))) -> (c0_1 (a820)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1f4 zenon_H1a1 zenon_H19c zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1f3 zenon_H2ae zenon_H14d zenon_H25c zenon_H19a zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H122 zenon_H299 zenon_H298 zenon_H297 zenon_H296 zenon_H1da zenon_H177 zenon_H18c zenon_H147 zenon_H4d zenon_Ha3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_L619_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.92/1.12 apply (zenon_L361_); trivial. % 0.92/1.12 apply (zenon_L620_); trivial. % 0.92/1.12 apply (zenon_L621_); trivial. % 0.92/1.12 (* end of lemma zenon_L622_ *) % 0.92/1.12 assert (zenon_L623_ : ((~(hskp7))\/((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a820)) -> (~(c3_1 (a820))) -> (~(c1_1 (a820))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2d4 zenon_H1d8 zenon_H1ff zenon_H1ef zenon_Ha3 zenon_H59 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H4d zenon_H3 zenon_H7 zenon_H1a1 zenon_H19a zenon_H19c zenon_H296 zenon_H297 zenon_H298 zenon_H299 zenon_H14d zenon_H24f zenon_H17 zenon_H11a zenon_H147 zenon_H200 zenon_H1b7 zenon_H5f zenon_H122 zenon_H21f zenon_H78 zenon_H2ae zenon_H18c zenon_H177 zenon_H1da zenon_H25c zenon_H1f3 zenon_H203 zenon_H206. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.12 apply (zenon_L532_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_L4_); trivial. % 0.92/1.12 apply (zenon_L611_); trivial. % 0.92/1.12 apply (zenon_L615_); trivial. % 0.92/1.12 apply (zenon_L622_); trivial. % 0.92/1.12 apply (zenon_L563_); trivial. % 0.92/1.12 (* end of lemma zenon_L623_ *) % 0.92/1.12 assert (zenon_L624_ : ((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H176 zenon_H14d zenon_H177 zenon_H1ef zenon_H21b zenon_Hd zenon_H21d zenon_H255 zenon_H1dc zenon_H1be zenon_H1bf zenon_H1c0 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H17 zenon_H15 zenon_H13 zenon_H11a zenon_H31 zenon_H147 zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_L590_); trivial. % 0.92/1.12 apply (zenon_L272_); trivial. % 0.92/1.12 (* end of lemma zenon_L624_ *) % 0.92/1.12 assert (zenon_L625_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp16)) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H78 zenon_H21f zenon_H1da zenon_H1d6 zenon_H5 zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H147 zenon_H31 zenon_H11a zenon_H15 zenon_H17 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1dc zenon_H255 zenon_H21d zenon_Hd zenon_H21b zenon_H1ef zenon_H177 zenon_H14d zenon_H18c. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.12 apply (zenon_L129_); trivial. % 0.92/1.12 apply (zenon_L624_); trivial. % 0.92/1.12 apply (zenon_L569_); trivial. % 0.92/1.12 (* end of lemma zenon_L625_ *) % 0.92/1.12 assert (zenon_L626_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c1_1 (a848))) -> (c2_1 (a848)) -> (c3_1 (a848)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2ab zenon_H14d zenon_H25c zenon_H19a zenon_H1ef zenon_H15 zenon_H21b zenon_Hd zenon_H21d zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H11a zenon_H122. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_L616_); trivial. % 0.92/1.12 apply (zenon_L279_); trivial. % 0.92/1.12 (* end of lemma zenon_L626_ *) % 0.92/1.12 assert (zenon_L627_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H19e zenon_H78 zenon_H21f zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H147 zenon_H31 zenon_H11a zenon_H15 zenon_H17 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H19a zenon_H19c zenon_H21d zenon_Hd zenon_H21b zenon_H1ef zenon_H25c zenon_H14d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_L613_); trivial. % 0.92/1.12 apply (zenon_L279_); trivial. % 0.92/1.12 apply (zenon_L569_); trivial. % 0.92/1.12 (* end of lemma zenon_L627_ *) % 0.92/1.12 assert (zenon_L628_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((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))))))\/(hskp2))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H19c zenon_H4d zenon_H14d zenon_H285 zenon_H25c zenon_H19a zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H1ef zenon_H229 zenon_H272 zenon_H255 zenon_H1dc zenon_H1be zenon_H1bf zenon_H1c0 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H17 zenon_H15 zenon_H11a zenon_H31 zenon_H147 zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122 zenon_H21f zenon_H78. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_L593_); trivial. % 0.92/1.12 apply (zenon_L614_); trivial. % 0.92/1.12 (* end of lemma zenon_L628_ *) % 0.92/1.12 assert (zenon_L629_ : ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))) -> (~(c0_1 (a825))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (ndr1_0) -> (~(c2_1 (a852))) -> (~(c3_1 (a852))) -> (c1_1 (a852)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1b7 zenon_H20c zenon_H20b zenon_H4a zenon_H20a zenon_H230 zenon_H22f zenon_H22e zenon_H1a zenon_H2a2 zenon_H2a3 zenon_H2a4. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1b8 ]. % 0.92/1.12 apply (zenon_L301_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H17a | zenon_intro zenon_Hc2 ]. % 0.92/1.12 apply (zenon_L184_); trivial. % 0.92/1.12 apply (zenon_L362_); trivial. % 0.92/1.12 (* end of lemma zenon_L629_ *) % 0.92/1.12 assert (zenon_L630_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp9)) -> (~(c2_1 (a856))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a856))) -> (c3_1 (a856)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c3_1 (a862)) -> (c0_1 (a862)) -> (~(c1_1 (a862))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (ndr1_0) -> (~(c2_1 (a852))) -> (~(c3_1 (a852))) -> (c1_1 (a852)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H4d zenon_H15 zenon_H137 zenon_H16c zenon_H136 zenon_H138 zenon_H1ef zenon_H107 zenon_H106 zenon_H105 zenon_H1b7 zenon_H20c zenon_H20b zenon_H20a zenon_H230 zenon_H22f zenon_H22e zenon_H1a zenon_H2a2 zenon_H2a3 zenon_H2a4. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.92/1.12 apply (zenon_L171_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.92/1.12 apply (zenon_L67_); trivial. % 0.92/1.12 apply (zenon_L629_); trivial. % 0.92/1.12 (* end of lemma zenon_L630_ *) % 0.92/1.12 assert (zenon_L631_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c1_1 (a852)) -> (~(c3_1 (a852))) -> (~(c2_1 (a852))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a855))) -> (~(c1_1 (a855))) -> (~(c0_1 (a855))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H11c zenon_H177 zenon_H1ef zenon_H15 zenon_H138 zenon_H137 zenon_H136 zenon_H1b7 zenon_H2a4 zenon_H2a3 zenon_H2a2 zenon_H230 zenon_H22f zenon_H22e zenon_H20c zenon_H20b zenon_H20a zenon_H4d zenon_H165 zenon_H164 zenon_H163. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_L90_); trivial. % 0.92/1.12 apply (zenon_L630_); trivial. % 0.92/1.12 (* end of lemma zenon_L631_ *) % 0.92/1.12 assert (zenon_L632_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a855))) -> (~(c1_1 (a855))) -> (~(c0_1 (a855))) -> (~(c2_1 (a852))) -> (~(c3_1 (a852))) -> (c1_1 (a852)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H149 zenon_H122 zenon_H177 zenon_H1ef zenon_H15 zenon_H1b7 zenon_H230 zenon_H22f zenon_H22e zenon_H20c zenon_H20b zenon_H20a zenon_H4d zenon_H165 zenon_H164 zenon_H163 zenon_H2a2 zenon_H2a3 zenon_H2a4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.12 apply (zenon_L606_); trivial. % 0.92/1.12 apply (zenon_L631_); trivial. % 0.92/1.12 (* end of lemma zenon_L632_ *) % 0.92/1.12 assert (zenon_L633_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2ab zenon_H78 zenon_H21f zenon_H189 zenon_H7d zenon_H6b zenon_H6a zenon_H230 zenon_H22f zenon_H22e zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H147 zenon_H31 zenon_H11a zenon_H15 zenon_H17 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1dc zenon_H255 zenon_H4d zenon_H20a zenon_H20b zenon_H20c zenon_H1ef zenon_H177 zenon_H14d zenon_H18c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.12 apply (zenon_L185_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_L590_); trivial. % 0.92/1.12 apply (zenon_L632_); trivial. % 0.92/1.12 apply (zenon_L569_); trivial. % 0.92/1.12 (* end of lemma zenon_L633_ *) % 0.92/1.12 assert (zenon_L634_ : ((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(hskp23)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H132 zenon_H2db zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_He9 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H1bf zenon_H1c0 zenon_H24f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H1a. zenon_intro zenon_H133. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12a. zenon_intro zenon_H134. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H12b. zenon_intro zenon_H129. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2dc ]. % 0.92/1.12 apply (zenon_L436_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hf4 ]. % 0.92/1.12 apply (zenon_L541_); trivial. % 0.92/1.12 apply (zenon_L75_); trivial. % 0.92/1.12 (* end of lemma zenon_L634_ *) % 0.92/1.12 assert (zenon_L635_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H135 zenon_H2db zenon_H1bf zenon_H1c0 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_He9 zenon_H3 zenon_H127. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H125 | zenon_intro zenon_H132 ]. % 0.92/1.12 apply (zenon_L74_); trivial. % 0.92/1.12 apply (zenon_L634_); trivial. % 0.92/1.12 (* end of lemma zenon_L635_ *) % 0.92/1.12 assert (zenon_L636_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H149 zenon_H122 zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H147 zenon_H127 zenon_H3 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H2db zenon_H135. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.12 apply (zenon_L635_); trivial. % 0.92/1.12 apply (zenon_L80_); trivial. % 0.92/1.12 (* end of lemma zenon_L636_ *) % 0.92/1.12 assert (zenon_L637_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (ndr1_0) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H24f zenon_He9 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H2db. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2dc ]. % 0.92/1.12 apply (zenon_L436_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hf4 ]. % 0.92/1.12 apply (zenon_L541_); trivial. % 0.92/1.12 apply (zenon_L426_); trivial. % 0.92/1.12 apply (zenon_L91_); trivial. % 0.92/1.12 (* end of lemma zenon_L637_ *) % 0.92/1.12 assert (zenon_L638_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a848)) -> (c2_1 (a848)) -> (~(c1_1 (a848))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (ndr1_0) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H122 zenon_H11a zenon_H118 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H2db zenon_H1bf zenon_H1c0 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H1a zenon_H16d zenon_H16e zenon_H16f zenon_H177. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.12 apply (zenon_L637_); trivial. % 0.92/1.12 apply (zenon_L275_); trivial. % 0.92/1.12 (* end of lemma zenon_L638_ *) % 0.92/1.12 assert (zenon_L639_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> (~(hskp21)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H122 zenon_H272 zenon_H5 zenon_H270 zenon_H127 zenon_H3 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H2db zenon_H135. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.12 apply (zenon_L635_); trivial. % 0.92/1.12 apply (zenon_L262_); trivial. % 0.92/1.12 (* end of lemma zenon_L639_ *) % 0.92/1.12 assert (zenon_L640_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H122 zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H229 zenon_H2a zenon_H1e zenon_H1d zenon_H118 zenon_H11a zenon_H4d zenon_H127 zenon_H3 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H2db zenon_H135. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.12 apply (zenon_L635_); trivial. % 0.92/1.12 apply (zenon_L444_); trivial. % 0.92/1.12 (* end of lemma zenon_L640_ *) % 0.92/1.12 assert (zenon_L641_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c0_1 (a817))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> (ndr1_0) -> (~(c2_1 (a839))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H229 zenon_H2ce zenon_H2c7 zenon_H162 zenon_H2c5 zenon_H138 zenon_H137 zenon_H136 zenon_H1a zenon_H1d zenon_H1b zenon_H1e zenon_H2a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.92/1.12 apply (zenon_L442_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.92/1.12 apply (zenon_L79_); trivial. % 0.92/1.12 apply (zenon_L229_); trivial. % 0.92/1.12 (* end of lemma zenon_L641_ *) % 0.92/1.12 assert (zenon_L642_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> (~(c0_1 (a817))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a862)) -> (c0_1 (a862)) -> (~(c1_1 (a862))) -> (ndr1_0) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H4d zenon_H136 zenon_H137 zenon_H138 zenon_H2c5 zenon_H162 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H107 zenon_H106 zenon_H105 zenon_H1a zenon_H1d zenon_H2a zenon_H1e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H1b | zenon_intro zenon_H4e ]. % 0.92/1.12 apply (zenon_L641_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H33 | zenon_intro zenon_H4a ]. % 0.92/1.12 apply (zenon_L67_); trivial. % 0.92/1.12 apply (zenon_L24_); trivial. % 0.92/1.12 (* end of lemma zenon_L642_ *) % 0.92/1.12 assert (zenon_L643_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H11c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H229 zenon_H2a zenon_H1e zenon_H1d zenon_H138 zenon_H137 zenon_H136 zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H4d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_L642_); trivial. % 0.92/1.12 apply (zenon_L91_); trivial. % 0.92/1.12 (* end of lemma zenon_L643_ *) % 0.92/1.12 assert (zenon_L644_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H149 zenon_H122 zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H229 zenon_H2a zenon_H1e zenon_H1d zenon_H4d zenon_H127 zenon_H3 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H2db zenon_H135. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.12 apply (zenon_L635_); trivial. % 0.92/1.12 apply (zenon_L643_); trivial. % 0.92/1.12 (* end of lemma zenon_L644_ *) % 0.92/1.12 assert (zenon_L645_ : ((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((hskp7)\/((hskp5)\/(hskp13))) -> (~(hskp5)) -> (~(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H202 zenon_H203 zenon_H18c zenon_H177 zenon_H1da zenon_H272 zenon_H229 zenon_H285 zenon_H1f3 zenon_H7 zenon_H3 zenon_H1 zenon_H14d zenon_H4d zenon_H135 zenon_H2db zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H127 zenon_H17 zenon_H11a zenon_H31 zenon_H147 zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122 zenon_H21f zenon_H78 zenon_Ha3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_L4_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.12 apply (zenon_L635_); trivial. % 0.92/1.12 apply (zenon_L536_); trivial. % 0.92/1.12 apply (zenon_L636_); trivial. % 0.92/1.12 apply (zenon_L569_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.12 apply (zenon_L319_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_L638_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.12 apply (zenon_L639_); trivial. % 0.92/1.12 apply (zenon_L480_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_L640_); trivial. % 0.92/1.12 apply (zenon_L644_); trivial. % 0.92/1.12 (* end of lemma zenon_L645_ *) % 0.92/1.12 assert (zenon_L646_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (ndr1_0) -> (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (~(hskp21)) -> (~(hskp13)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H272 zenon_H2ef zenon_H2ee zenon_H1a zenon_H29 zenon_H270 zenon_H5. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H33 | zenon_intro zenon_H273 ]. % 0.92/1.12 apply (zenon_L527_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H271 | zenon_intro zenon_H6 ]. % 0.92/1.12 exact (zenon_H270 zenon_H271). % 0.92/1.12 exact (zenon_H5 zenon_H6). % 0.92/1.12 (* end of lemma zenon_L646_ *) % 0.92/1.12 assert (zenon_L647_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp13)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H147 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H138 zenon_H137 zenon_H136 zenon_H272 zenon_H2ef zenon_H2ee zenon_H1a zenon_H270 zenon_H5. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H10f | zenon_intro zenon_H148 ]. % 0.92/1.12 apply (zenon_L122_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H29 ]. % 0.92/1.12 apply (zenon_L79_); trivial. % 0.92/1.12 apply (zenon_L646_); trivial. % 0.92/1.12 (* end of lemma zenon_L647_ *) % 0.92/1.12 assert (zenon_L648_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(hskp29)) -> (~(hskp19)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H155 zenon_H274 zenon_H275 zenon_H276 zenon_H1a zenon_H1fc zenon_H2f zenon_H153. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14e | zenon_intro zenon_H156 ]. % 0.92/1.12 apply (zenon_L465_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H30 | zenon_intro zenon_H154 ]. % 0.92/1.12 exact (zenon_H2f zenon_H30). % 0.92/1.12 exact (zenon_H153 zenon_H154). % 0.92/1.12 (* end of lemma zenon_L648_ *) % 0.92/1.12 assert (zenon_L649_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (c1_1 (a865)) -> (c2_1 (a865)) -> (c3_1 (a865)) -> False). % 0.92/1.12 do 0 intro. intros zenon_H147 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H138 zenon_H137 zenon_H136 zenon_H1a zenon_H225 zenon_H4f zenon_H50 zenon_H51. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H10f | zenon_intro zenon_H148 ]. % 0.92/1.12 apply (zenon_L122_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H29 ]. % 0.92/1.12 apply (zenon_L79_); trivial. % 0.92/1.12 apply (zenon_L583_); trivial. % 0.92/1.12 (* end of lemma zenon_L649_ *) % 0.92/1.12 assert (zenon_L650_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H5c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H274 zenon_H275 zenon_H276 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H136 zenon_H137 zenon_H138 zenon_H147 zenon_H2db. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2dc ]. % 0.92/1.12 apply (zenon_L436_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hf4 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H225 | zenon_intro zenon_H22a ]. % 0.92/1.12 apply (zenon_L649_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H144 | zenon_intro zenon_H14e ]. % 0.92/1.12 apply (zenon_L79_); trivial. % 0.92/1.12 apply (zenon_L465_); trivial. % 0.92/1.12 apply (zenon_L426_); trivial. % 0.92/1.12 apply (zenon_L91_); trivial. % 0.92/1.12 (* end of lemma zenon_L650_ *) % 0.92/1.12 assert (zenon_L651_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H282 zenon_H59 zenon_H229 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H136 zenon_H137 zenon_H138 zenon_H147 zenon_H2db zenon_H153 zenon_H155 zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H16d zenon_H16e zenon_H16f zenon_H177. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2dc ]. % 0.92/1.12 apply (zenon_L436_); trivial. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hf4 ]. % 0.92/1.12 apply (zenon_L648_); trivial. % 0.92/1.12 apply (zenon_L426_); trivial. % 0.92/1.12 apply (zenon_L91_); trivial. % 0.92/1.12 apply (zenon_L650_); trivial. % 0.92/1.12 (* end of lemma zenon_L651_ *) % 0.92/1.12 assert (zenon_L652_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a816)) -> (c0_1 (a816)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H149 zenon_H285 zenon_H59 zenon_H229 zenon_H2db zenon_H153 zenon_H155 zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H272 zenon_H5 zenon_H2ef zenon_H2ee zenon_H147. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.12 apply (zenon_L647_); trivial. % 0.92/1.12 apply (zenon_L651_); trivial. % 0.92/1.12 (* end of lemma zenon_L652_ *) % 0.92/1.12 assert (zenon_L653_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp13)) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1f3 zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H147 zenon_H272 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H155 zenon_H2db zenon_H229 zenon_H285 zenon_H14d zenon_H1da zenon_H5 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H18c. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.12 apply (zenon_L319_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_L548_); trivial. % 0.92/1.12 apply (zenon_L652_); trivial. % 0.92/1.12 apply (zenon_L92_); trivial. % 0.92/1.12 (* end of lemma zenon_L653_ *) % 0.92/1.12 assert (zenon_L654_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp13)) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1f3 zenon_H122 zenon_H11a zenon_H2db zenon_H1bf zenon_H1c0 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H147 zenon_H272 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H155 zenon_H229 zenon_H59 zenon_H285 zenon_H14d zenon_H1da zenon_H5 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H18c. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.12 apply (zenon_L319_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_L638_); trivial. % 0.92/1.12 apply (zenon_L652_); trivial. % 0.92/1.12 apply (zenon_L92_); trivial. % 0.92/1.12 (* end of lemma zenon_L654_ *) % 0.92/1.12 assert (zenon_L655_ : ((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H202 zenon_H203 zenon_Ha3 zenon_H5f zenon_H200 zenon_H31 zenon_H1d8 zenon_H1ff zenon_H4d zenon_H18c zenon_H177 zenon_H1da zenon_H14d zenon_H285 zenon_H59 zenon_H229 zenon_H155 zenon_H272 zenon_H147 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H24f zenon_H2db zenon_H11a zenon_H122 zenon_H1f3 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H2ed zenon_H2ee zenon_H2ef zenon_H1ef. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.12 apply (zenon_L545_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_L654_); trivial. % 0.92/1.12 apply (zenon_L561_); trivial. % 0.92/1.12 (* end of lemma zenon_L655_ *) % 0.92/1.12 assert (zenon_L656_ : ((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H207 zenon_H206 zenon_H5f zenon_H200 zenon_H1d8 zenon_H1ff zenon_H24f zenon_H122 zenon_H1ef zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f3 zenon_H59 zenon_H48 zenon_H31 zenon_H11a zenon_H147 zenon_H272 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H155 zenon_H2db zenon_H229 zenon_H285 zenon_H14d zenon_H1da zenon_H177 zenon_H18c zenon_H4d zenon_Ha3 zenon_H203. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a. zenon_intro zenon_H208. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1cd. zenon_intro zenon_H209. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.12 apply (zenon_L545_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_L653_); trivial. % 0.92/1.12 apply (zenon_L531_); trivial. % 0.92/1.12 apply (zenon_L655_); trivial. % 0.92/1.12 (* end of lemma zenon_L656_ *) % 0.92/1.12 assert (zenon_L657_ : ((~(hskp7))\/((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp27)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H2d4 zenon_H1d8 zenon_H1ff zenon_H1ef zenon_H155 zenon_Ha3 zenon_H59 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H4d zenon_H3 zenon_H7 zenon_H78 zenon_H21f zenon_H122 zenon_H5f zenon_H1b7 zenon_H200 zenon_H147 zenon_H11a zenon_H17 zenon_H127 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H24f zenon_H2db zenon_H135 zenon_H14d zenon_H1f3 zenon_H285 zenon_H229 zenon_H272 zenon_H1da zenon_H177 zenon_H18c zenon_H203 zenon_H206. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.12 apply (zenon_L532_); trivial. % 0.92/1.12 apply (zenon_L645_); trivial. % 0.92/1.12 apply (zenon_L656_); trivial. % 0.92/1.12 (* end of lemma zenon_L657_ *) % 0.92/1.12 assert (zenon_L658_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H282 zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H1ef zenon_H15 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H138 zenon_H137 zenon_H136 zenon_H2db. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_L467_); trivial. % 0.92/1.12 apply (zenon_L573_); trivial. % 0.92/1.12 (* end of lemma zenon_L658_ *) % 0.92/1.12 assert (zenon_L659_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (c2_1 (a835)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H149 zenon_H285 zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H1a8 zenon_H1ef zenon_H15 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H2db zenon_H272 zenon_H5 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H48 zenon_H46 zenon_H59. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.12 apply (zenon_L571_); trivial. % 0.92/1.12 apply (zenon_L658_); trivial. % 0.92/1.12 (* end of lemma zenon_L659_ *) % 0.92/1.12 assert (zenon_L660_ : ((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1ba zenon_Ha3 zenon_H4d zenon_H14d zenon_H285 zenon_H177 zenon_H1ef zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H2db zenon_H272 zenon_H17 zenon_H15 zenon_H11a zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H48 zenon_H46 zenon_H59 zenon_H5f zenon_H21f zenon_H78. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_L567_); trivial. % 0.92/1.12 apply (zenon_L659_); trivial. % 0.92/1.12 apply (zenon_L569_); trivial. % 0.92/1.12 apply (zenon_L531_); trivial. % 0.92/1.12 (* end of lemma zenon_L660_ *) % 0.92/1.12 assert (zenon_L661_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H77 zenon_H78 zenon_H21f zenon_H5f zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H15 zenon_H17 zenon_H5 zenon_H272 zenon_H177 zenon_H1ef zenon_H1b7 zenon_H147 zenon_H230 zenon_H22f zenon_H22e zenon_H20c zenon_H20b zenon_H20a zenon_H4d zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H2db zenon_H200 zenon_H285 zenon_H14d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_L567_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.12 apply (zenon_L571_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.12 apply (zenon_L12_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_L467_); trivial. % 0.92/1.12 apply (zenon_L582_); trivial. % 0.92/1.12 apply (zenon_L585_); trivial. % 0.92/1.12 apply (zenon_L569_); trivial. % 0.92/1.12 (* end of lemma zenon_L661_ *) % 0.92/1.12 assert (zenon_L662_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_Ha4 zenon_H78 zenon_H7a zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H200 zenon_H147 zenon_H31 zenon_H11a zenon_H15 zenon_H17 zenon_H24f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1c0 zenon_H1bf zenon_H1be zenon_H1dc zenon_H255 zenon_H4d zenon_H14d. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_L590_); trivial. % 0.92/1.12 apply (zenon_L604_); trivial. % 0.92/1.12 apply (zenon_L539_); trivial. % 0.92/1.12 (* end of lemma zenon_L662_ *) % 0.92/1.12 assert (zenon_L663_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a862))) -> (c0_1 (a862)) -> (c3_1 (a862)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (ndr1_0) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a857))) -> (c0_1 (a857)) -> (~(c2_1 (a857))) -> (c3_1 (a856)) -> (~(c2_1 (a856))) -> (~(c1_1 (a856))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H177 zenon_H1ef zenon_H15 zenon_H105 zenon_H106 zenon_H107 zenon_H1b7 zenon_H1c0 zenon_H1bf zenon_H1be zenon_Hfb zenon_H230 zenon_H22f zenon_H22e zenon_H20c zenon_H20b zenon_H20a zenon_H4d zenon_H1a zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H229 zenon_H274 zenon_H275 zenon_H276 zenon_H138 zenon_H137 zenon_H136 zenon_H2db. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_L467_); trivial. % 0.92/1.12 apply (zenon_L303_); trivial. % 0.92/1.12 (* end of lemma zenon_L663_ *) % 0.92/1.12 assert (zenon_L664_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a862))) -> (c0_1 (a862)) -> (c3_1 (a862)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (c2_1 (a834)) -> (c0_1 (a834)) -> (~(c1_1 (a834))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (ndr1_0) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> (~(c1_1 (a856))) -> (~(c2_1 (a856))) -> (c3_1 (a856)) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a857))) -> (c0_1 (a857)) -> (~(c3_1 (a857))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H177 zenon_H1ef zenon_H15 zenon_H105 zenon_H106 zenon_H107 zenon_H1b7 zenon_H1c0 zenon_H1bf zenon_H230 zenon_H22f zenon_H22e zenon_H20c zenon_H20b zenon_H20a zenon_H4d zenon_H1a zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H136 zenon_H137 zenon_H138 zenon_H1fc zenon_H276 zenon_H275 zenon_H274 zenon_H229. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.12 apply (zenon_L466_); trivial. % 0.92/1.12 apply (zenon_L306_); trivial. % 0.92/1.12 (* end of lemma zenon_L664_ *) % 0.92/1.12 assert (zenon_L665_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H149 zenon_H122 zenon_H4d zenon_H1d zenon_H1e zenon_H2a zenon_H147 zenon_H2db zenon_H1bf zenon_H1c0 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H16d zenon_H16e zenon_H16f zenon_H177. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.12 apply (zenon_L637_); trivial. % 0.92/1.12 apply (zenon_L80_); trivial. % 0.92/1.12 (* end of lemma zenon_L665_ *) % 0.92/1.12 assert (zenon_L666_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1f4 zenon_Ha3 zenon_H147 zenon_H4d zenon_H18c zenon_H177 zenon_H1da zenon_H122 zenon_H11a zenon_H2db zenon_H1bf zenon_H1c0 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H24f zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H272 zenon_H229 zenon_H285 zenon_H14d zenon_H1f3. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.12 apply (zenon_L319_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_L638_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.12 apply (zenon_L637_); trivial. % 0.92/1.12 apply (zenon_L262_); trivial. % 0.92/1.12 apply (zenon_L480_); trivial. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.12 apply (zenon_L637_); trivial. % 0.92/1.12 apply (zenon_L444_); trivial. % 0.92/1.12 apply (zenon_L665_); trivial. % 0.92/1.12 (* end of lemma zenon_L666_ *) % 0.92/1.12 assert (zenon_L667_ : ((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1e9 zenon_H14d zenon_H229 zenon_H7d zenon_H6b zenon_H6a zenon_H260 zenon_H25f zenon_H25e zenon_H11a zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H48 zenon_H46 zenon_H59. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.12 apply (zenon_L548_); trivial. % 0.92/1.12 apply (zenon_L234_); trivial. % 0.92/1.12 (* end of lemma zenon_L667_ *) % 0.92/1.12 assert (zenon_L668_ : ((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp13)) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H77 zenon_H1f3 zenon_H14d zenon_H229 zenon_H260 zenon_H25f zenon_H25e zenon_H11a zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H48 zenon_H46 zenon_H59 zenon_H1da zenon_H5 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H18c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.12 apply (zenon_L319_); trivial. % 0.92/1.12 apply (zenon_L667_); trivial. % 0.92/1.12 (* end of lemma zenon_L668_ *) % 0.92/1.12 assert (zenon_L669_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a827)) -> (c1_1 (a827)) -> (~(c0_1 (a827))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c2_1 (a816))) -> (c0_1 (a816)) -> (c3_1 (a816)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp13)) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a817)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (ndr1_0) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H83 zenon_H1f3 zenon_H14d zenon_H229 zenon_H260 zenon_H25f zenon_H25e zenon_H11a zenon_H2ed zenon_H2ee zenon_H2ef zenon_H31 zenon_H48 zenon_H46 zenon_H59 zenon_H1da zenon_H5 zenon_H18c zenon_Hf2 zenon_H1 zenon_H2ce zenon_H2c5 zenon_H2c7 zenon_H1a zenon_H16d zenon_H16e zenon_H16f zenon_H177. % 0.92/1.12 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.12 apply (zenon_L427_); trivial. % 0.92/1.12 apply (zenon_L668_); trivial. % 0.92/1.12 (* end of lemma zenon_L669_ *) % 0.92/1.12 assert (zenon_L670_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (c2_1 (a817)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(c0_1 (a827))) -> (c1_1 (a827)) -> (c2_1 (a827)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.92/1.12 do 0 intro. intros zenon_H1f4 zenon_Ha3 zenon_H4d zenon_H177 zenon_H2c7 zenon_H2c5 zenon_H2ce zenon_H1 zenon_Hf2 zenon_H18c zenon_H1da zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H25e zenon_H25f zenon_H260 zenon_H229 zenon_H14d zenon_H1f3 zenon_H83. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.12 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.12 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.12 apply (zenon_L669_); trivial. % 0.92/1.12 apply (zenon_L531_); trivial. % 0.92/1.12 (* end of lemma zenon_L670_ *) % 0.92/1.12 assert (zenon_L671_ : (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Hd2 zenon_H1a zenon_H303 zenon_H304 zenon_H305. % 0.92/1.13 generalize (zenon_Hd2 (a815)). zenon_intro zenon_H306. % 0.92/1.13 apply (zenon_imply_s _ _ zenon_H306); [ zenon_intro zenon_H19 | zenon_intro zenon_H307 ]. % 0.92/1.13 exact (zenon_H19 zenon_H1a). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H309 | zenon_intro zenon_H308 ]. % 0.92/1.13 exact (zenon_H303 zenon_H309). % 0.92/1.13 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H30b | zenon_intro zenon_H30a ]. % 0.92/1.13 exact (zenon_H30b zenon_H304). % 0.92/1.13 exact (zenon_H30a zenon_H305). % 0.92/1.13 (* end of lemma zenon_L671_ *) % 0.92/1.13 assert (zenon_L672_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c1_1 (a815)) -> (c0_1 (a815)) -> (~(c3_1 (a815))) -> (~(hskp9)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H5c zenon_He5 zenon_H46 zenon_H48 zenon_H305 zenon_H304 zenon_H303 zenon_H15. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.92/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He8 ]. % 0.92/1.13 apply (zenon_L86_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H16 ]. % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 exact (zenon_H15 zenon_H16). % 0.92/1.13 (* end of lemma zenon_L672_ *) % 0.92/1.13 assert (zenon_L673_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21)))))) -> (c1_1 (a815)) -> (c0_1 (a815)) -> (~(c3_1 (a815))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.92/1.13 do 0 intro. intros zenon_He5 zenon_H1e zenon_H2a zenon_H1d zenon_H25 zenon_H305 zenon_H304 zenon_H303 zenon_H1a zenon_H15. % 0.92/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He8 ]. % 0.92/1.13 apply (zenon_L108_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H16 ]. % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 exact (zenon_H15 zenon_H16). % 0.92/1.13 (* end of lemma zenon_L673_ *) % 0.92/1.13 assert (zenon_L674_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp9)) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H7e zenon_H7a zenon_H15 zenon_H303 zenon_H304 zenon_H305 zenon_He5 zenon_H1d zenon_H2a zenon_H1e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.92/1.13 apply (zenon_L30_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.92/1.13 apply (zenon_L673_); trivial. % 0.92/1.13 apply (zenon_L24_); trivial. % 0.92/1.13 (* end of lemma zenon_L674_ *) % 0.92/1.13 assert (zenon_L675_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Ha3 zenon_H78 zenon_H7a zenon_H17 zenon_H15 zenon_H4d zenon_H46 zenon_H48 zenon_H31 zenon_H303 zenon_H304 zenon_H305 zenon_He5 zenon_H59 zenon_H5f zenon_H1 zenon_H3 zenon_H7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.13 apply (zenon_L12_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.13 apply (zenon_L25_); trivial. % 0.92/1.13 apply (zenon_L672_); trivial. % 0.92/1.13 apply (zenon_L674_); trivial. % 0.92/1.13 (* end of lemma zenon_L675_ *) % 0.92/1.13 assert (zenon_L676_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> (~(hskp9)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H7e zenon_H14c zenon_H11d zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hd0 zenon_Hcc zenon_H303 zenon_H304 zenon_H305 zenon_H15 zenon_He5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He8 ]. % 0.92/1.13 apply (zenon_L56_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H16 ]. % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 exact (zenon_H15 zenon_H16). % 0.92/1.13 apply (zenon_L132_); trivial. % 0.92/1.13 (* end of lemma zenon_L676_ *) % 0.92/1.13 assert (zenon_L677_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (c1_1 (a815)) -> (c0_1 (a815)) -> (~(c3_1 (a815))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H203 zenon_H18f zenon_H189 zenon_H59 zenon_H160 zenon_H155 zenon_H177 zenon_H18c zenon_H1f3 zenon_H198 zenon_H5f zenon_H1d8 zenon_H46 zenon_H48 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H17 zenon_He5 zenon_H305 zenon_H304 zenon_H303 zenon_Hcc zenon_Hd0 zenon_H11d zenon_H14c zenon_H78 zenon_H1ef zenon_H83. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.13 apply (zenon_L128_); trivial. % 0.92/1.13 apply (zenon_L676_); trivial. % 0.92/1.13 apply (zenon_L135_); trivial. % 0.92/1.13 apply (zenon_L138_); trivial. % 0.92/1.13 apply (zenon_L146_); trivial. % 0.92/1.13 (* end of lemma zenon_L677_ *) % 0.92/1.13 assert (zenon_L678_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H5f zenon_H200 zenon_H1d6 zenon_H1d8 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hce zenon_Hd0 zenon_H13 zenon_H15 zenon_H17. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.13 apply (zenon_L12_); trivial. % 0.92/1.13 apply (zenon_L151_); trivial. % 0.92/1.13 (* end of lemma zenon_L678_ *) % 0.92/1.13 assert (zenon_L679_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((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))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (~(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H14c zenon_H19c zenon_H19a zenon_H94 zenon_H93 zenon_H92 zenon_H17 zenon_H15 zenon_H13 zenon_Hd0 zenon_Hcc zenon_H1c0 zenon_H1bf zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1d8 zenon_H1d6 zenon_H200 zenon_H5f. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_L678_); trivial. % 0.92/1.13 apply (zenon_L100_); trivial. % 0.92/1.13 (* end of lemma zenon_L679_ *) % 0.92/1.13 assert (zenon_L680_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H19e zenon_H83 zenon_H1ef zenon_H78 zenon_H11d zenon_H303 zenon_H304 zenon_H305 zenon_He5 zenon_H5f zenon_H200 zenon_H1d8 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hd0 zenon_H15 zenon_H17 zenon_H19a zenon_H19c zenon_H14c zenon_H198 zenon_H1f3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.13 apply (zenon_L679_); trivial. % 0.92/1.13 apply (zenon_L676_); trivial. % 0.92/1.13 apply (zenon_L135_); trivial. % 0.92/1.13 apply (zenon_L138_); trivial. % 0.92/1.13 (* end of lemma zenon_L680_ *) % 0.92/1.13 assert (zenon_L681_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1a1 zenon_H78 zenon_H303 zenon_H304 zenon_H305 zenon_He5 zenon_H5f zenon_H200 zenon_H1d8 zenon_H1bf zenon_H1c0 zenon_H17 zenon_H19a zenon_H19c zenon_H198 zenon_H1f3 zenon_Hf zenon_Hd zenon_H1ef zenon_H15 zenon_Hcc zenon_Hd0 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H11d zenon_H14c zenon_H83. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L8_); trivial. % 0.92/1.13 apply (zenon_L138_); trivial. % 0.92/1.13 apply (zenon_L680_); trivial. % 0.92/1.13 (* end of lemma zenon_L681_ *) % 0.92/1.13 assert (zenon_L682_ : ((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> (~(hskp9)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H176 zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H303 zenon_H304 zenon_H305 zenon_H15 zenon_He5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.13 apply (zenon_L90_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He8 ]. % 0.92/1.13 apply (zenon_L181_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H16 ]. % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 exact (zenon_H15 zenon_H16). % 0.92/1.13 (* end of lemma zenon_L682_ *) % 0.92/1.13 assert (zenon_L683_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a835))) -> (c3_1 (a835)) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> (~(hskp9)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (~(hskp13)) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H83 zenon_Hd0 zenon_H1ef zenon_H18c zenon_H177 zenon_H1a7 zenon_H1a9 zenon_H303 zenon_H304 zenon_H305 zenon_H15 zenon_He5 zenon_H5 zenon_H1da zenon_H198 zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hcc zenon_H11d zenon_H14c zenon_H1f3. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.13 apply (zenon_L129_); trivial. % 0.92/1.13 apply (zenon_L682_); trivial. % 0.92/1.13 apply (zenon_L135_); trivial. % 0.92/1.13 apply (zenon_L138_); trivial. % 0.92/1.13 (* end of lemma zenon_L683_ *) % 0.92/1.13 assert (zenon_L684_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> (~(hskp14)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (c1_1 (a815)) -> (c0_1 (a815)) -> (~(c3_1 (a815))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1f3 zenon_H9 zenon_H198 zenon_H14c zenon_H11d zenon_H17 zenon_H15 zenon_Hd0 zenon_Hcc zenon_H1c0 zenon_H1bf zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1d8 zenon_H200 zenon_H5f zenon_He5 zenon_H305 zenon_H304 zenon_H303 zenon_H1e zenon_H2a zenon_H1d zenon_H7a zenon_H78. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_L678_); trivial. % 0.92/1.13 apply (zenon_L132_); trivial. % 0.92/1.13 apply (zenon_L674_); trivial. % 0.92/1.13 apply (zenon_L135_); trivial. % 0.92/1.13 (* end of lemma zenon_L684_ *) % 0.92/1.13 assert (zenon_L685_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (c1_1 (a815)) -> (c0_1 (a815)) -> (~(c3_1 (a815))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.92/1.13 do 0 intro. intros zenon_He5 zenon_H20c zenon_H20b zenon_H20a zenon_H305 zenon_H304 zenon_H303 zenon_H1a zenon_H15. % 0.92/1.13 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hc3 | zenon_intro zenon_He8 ]. % 0.92/1.13 apply (zenon_L162_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H16 ]. % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 exact (zenon_H15 zenon_H16). % 0.92/1.13 (* end of lemma zenon_L685_ *) % 0.92/1.13 assert (zenon_L686_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> (ndr1_0) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H203 zenon_H83 zenon_H18f zenon_H189 zenon_H59 zenon_H160 zenon_H46 zenon_H48 zenon_H155 zenon_H177 zenon_H18c zenon_H11d zenon_Hcc zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1d8 zenon_H198 zenon_H14c zenon_H1f3 zenon_H1a zenon_H20a zenon_H20b zenon_H20c zenon_H303 zenon_H304 zenon_H305 zenon_He5. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L685_); trivial. % 0.92/1.13 apply (zenon_L146_); trivial. % 0.92/1.13 (* end of lemma zenon_L686_ *) % 0.92/1.13 assert (zenon_L687_ : ((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (c1_1 (a815)) -> (c0_1 (a815)) -> (~(c3_1 (a815))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H207 zenon_H206 zenon_Hd0 zenon_H200 zenon_He5 zenon_H305 zenon_H304 zenon_H303 zenon_H20c zenon_H20b zenon_H20a zenon_H1f3 zenon_H14c zenon_H198 zenon_H1d8 zenon_Hcc zenon_H11d zenon_H18c zenon_H177 zenon_H155 zenon_H48 zenon_H160 zenon_H59 zenon_H189 zenon_H18f zenon_H83 zenon_H203. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a. zenon_intro zenon_H208. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1cd. zenon_intro zenon_H209. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_L686_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L685_); trivial. % 0.92/1.13 apply (zenon_L155_); trivial. % 0.92/1.13 (* end of lemma zenon_L687_ *) % 0.92/1.13 assert (zenon_L688_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp29)) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (ndr1_0) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H2f zenon_H2a zenon_H1e zenon_H1d zenon_H31 zenon_H1a zenon_H303 zenon_H304 zenon_H305. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.92/1.13 apply (zenon_L208_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_L110_); trivial. % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 (* end of lemma zenon_L688_ *) % 0.92/1.13 assert (zenon_L689_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Ha4 zenon_H59 zenon_H46 zenon_H48 zenon_H246 zenon_H247 zenon_H248 zenon_H31 zenon_H303 zenon_H304 zenon_H305 zenon_H253. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.13 apply (zenon_L688_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.92/1.13 apply (zenon_L208_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H29 | zenon_intro zenon_H49 ]. % 0.92/1.13 apply (zenon_L109_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H40 | zenon_intro zenon_H47 ]. % 0.92/1.13 apply (zenon_L26_); trivial. % 0.92/1.13 exact (zenon_H46 zenon_H47). % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 (* end of lemma zenon_L689_ *) % 0.92/1.13 assert (zenon_L690_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Ha3 zenon_H59 zenon_H46 zenon_H48 zenon_H246 zenon_H247 zenon_H248 zenon_H31 zenon_H303 zenon_H304 zenon_H305 zenon_H253 zenon_H1 zenon_H3 zenon_H7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_L689_); trivial. % 0.92/1.13 (* end of lemma zenon_L690_ *) % 0.92/1.13 assert (zenon_L691_ : ((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp18)) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H11c zenon_H5f zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H11a zenon_H118 zenon_H147 zenon_H246 zenon_H247 zenon_H248 zenon_H31 zenon_H1e zenon_H2a zenon_H1d zenon_H303 zenon_H304 zenon_H305 zenon_H253 zenon_H13 zenon_H15 zenon_H17. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.92/1.13 apply (zenon_L12_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H1a. zenon_intro zenon_H5a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H35. zenon_intro zenon_H5b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H41. zenon_intro zenon_H36. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.13 apply (zenon_L688_); trivial. % 0.92/1.13 apply (zenon_L197_); trivial. % 0.92/1.13 (* end of lemma zenon_L691_ *) % 0.92/1.13 assert (zenon_L692_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H7e zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1e zenon_H2a zenon_H1d zenon_H7a zenon_H303 zenon_H304 zenon_H305. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.92/1.13 apply (zenon_L208_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H60 | zenon_intro zenon_H82 ]. % 0.92/1.13 apply (zenon_L30_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H25 | zenon_intro zenon_H4a ]. % 0.92/1.13 apply (zenon_L108_); trivial. % 0.92/1.13 apply (zenon_L24_); trivial. % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 (* end of lemma zenon_L692_ *) % 0.92/1.13 assert (zenon_L693_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (ndr1_0) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H1a zenon_H246 zenon_H247 zenon_H248 zenon_H24f zenon_He9 zenon_H1e zenon_H2a zenon_H1d zenon_H1c0 zenon_H1bf zenon_H1be zenon_H303 zenon_H304 zenon_H305 zenon_H253. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H162 | zenon_intro zenon_H16c ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.92/1.13 apply (zenon_L208_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_L454_); trivial. % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 apply (zenon_L91_); trivial. % 0.92/1.13 (* end of lemma zenon_L693_ *) % 0.92/1.13 assert (zenon_L694_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1f4 zenon_Ha3 zenon_H14d zenon_H177 zenon_H246 zenon_H247 zenon_H248 zenon_H24f zenon_H1c0 zenon_H1bf zenon_H1be zenon_H303 zenon_H304 zenon_H305 zenon_H253 zenon_H11a zenon_H19a zenon_H25c zenon_H122 zenon_H1 zenon_H3 zenon_H7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.13 apply (zenon_L693_); trivial. % 0.92/1.13 apply (zenon_L342_); trivial. % 0.92/1.13 apply (zenon_L226_); trivial. % 0.92/1.13 (* end of lemma zenon_L694_ *) % 0.92/1.13 assert (zenon_L695_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp9)) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> False). % 0.92/1.13 do 0 intro. intros zenon_Ha4 zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H15 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1ef zenon_H303 zenon_H304 zenon_H305. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.92/1.13 apply (zenon_L208_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H10f | zenon_intro zenon_H1f0 ]. % 0.92/1.13 apply (zenon_L122_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H25 | zenon_intro zenon_H16 ]. % 0.92/1.13 apply (zenon_L108_); trivial. % 0.92/1.13 exact (zenon_H15 zenon_H16). % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 (* end of lemma zenon_L695_ *) % 0.92/1.13 assert (zenon_L696_ : ((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(hskp2)) -> ((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))))))\/(hskp2))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a835))/\((c3_1 (a835))/\(~(c0_1 (a835))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H207 zenon_H206 zenon_H1a1 zenon_H200 zenon_H19a zenon_H19c zenon_Hf zenon_H1da zenon_H246 zenon_H247 zenon_H248 zenon_H253 zenon_Ha3 zenon_H1b9 zenon_H83 zenon_H1ef zenon_H78 zenon_H14c zenon_H11d zenon_Hd0 zenon_Hcc zenon_H303 zenon_H304 zenon_H305 zenon_He5 zenon_H17 zenon_H48 zenon_H1d8 zenon_H5f zenon_H198 zenon_H1f3 zenon_H18c zenon_H177 zenon_H155 zenon_H160 zenon_H59 zenon_H189 zenon_H18f zenon_H203. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a. zenon_intro zenon_H208. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1cd. zenon_intro zenon_H209. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_L677_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_L681_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L683_); trivial. % 0.92/1.13 apply (zenon_L695_); trivial. % 0.92/1.13 apply (zenon_L155_); trivial. % 0.92/1.13 (* end of lemma zenon_L696_ *) % 0.92/1.13 assert (zenon_L697_ : ((ndr1_0)/\((c1_1 (a825))/\((c3_1 (a825))/\(~(c0_1 (a825)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H2d3 zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H303 zenon_H304 zenon_H305. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.92/1.13 apply (zenon_L208_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_L162_); trivial. % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 (* end of lemma zenon_L697_ *) % 0.92/1.13 assert (zenon_L698_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H2ab zenon_H14c zenon_H11d zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hcc zenon_Hd0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_L363_); trivial. % 0.92/1.13 apply (zenon_L132_); trivial. % 0.92/1.13 (* end of lemma zenon_L698_ *) % 0.92/1.13 assert (zenon_L699_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a820))) -> (~(c3_1 (a820))) -> (c0_1 (a820)) -> (~(hskp12)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H2ae zenon_H14c zenon_H11d zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hcc zenon_Hd0 zenon_H1a zenon_H299 zenon_H298 zenon_H297 zenon_Hb zenon_H296. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.92/1.13 apply (zenon_L361_); trivial. % 0.92/1.13 apply (zenon_L698_); trivial. % 0.92/1.13 (* end of lemma zenon_L699_ *) % 0.92/1.13 assert (zenon_L700_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp23)) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a852))) -> (~(c3_1 (a852))) -> (c1_1 (a852)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (ndr1_0) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_He9 zenon_H1d zenon_H2a zenon_H1e zenon_H2a2 zenon_H2a3 zenon_H2a4 zenon_H24f zenon_H1a zenon_H303 zenon_H304 zenon_H305. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.92/1.13 apply (zenon_L208_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H250 ]. % 0.92/1.13 apply (zenon_L362_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H25 | zenon_intro zenon_Hea ]. % 0.92/1.13 apply (zenon_L108_); trivial. % 0.92/1.13 exact (zenon_He9 zenon_Hea). % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 (* end of lemma zenon_L700_ *) % 0.92/1.13 assert (zenon_L701_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (c1_1 (a852)) -> (~(c3_1 (a852))) -> (~(c2_1 (a852))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H149 zenon_H122 zenon_H4d zenon_H147 zenon_H246 zenon_H247 zenon_H248 zenon_H24f zenon_H1e zenon_H2a zenon_H1d zenon_H2a4 zenon_H2a3 zenon_H2a2 zenon_H303 zenon_H304 zenon_H305 zenon_H253. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.13 apply (zenon_L700_); trivial. % 0.92/1.13 apply (zenon_L80_); trivial. % 0.92/1.13 (* end of lemma zenon_L701_ *) % 0.92/1.13 assert (zenon_L702_ : ((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H2ab zenon_H78 zenon_H7a zenon_He5 zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H11a zenon_H147 zenon_H31 zenon_H15 zenon_H17 zenon_H246 zenon_H247 zenon_H248 zenon_H24f zenon_H1e zenon_H2a zenon_H1d zenon_H303 zenon_H304 zenon_H305 zenon_H253 zenon_H4d zenon_H14d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1a. zenon_intro zenon_H2ac. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2a4. zenon_intro zenon_H2ad. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.13 apply (zenon_L700_); trivial. % 0.92/1.13 apply (zenon_L691_); trivial. % 0.92/1.13 apply (zenon_L701_); trivial. % 0.92/1.13 apply (zenon_L674_); trivial. % 0.92/1.13 (* end of lemma zenon_L702_ *) % 0.92/1.13 assert (zenon_L703_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(hskp9)) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp5)) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H78 zenon_H7a zenon_H122 zenon_H5f zenon_H59 zenon_H1b7 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H11a zenon_H147 zenon_H246 zenon_H247 zenon_H248 zenon_H31 zenon_H1e zenon_H2a zenon_H1d zenon_H303 zenon_H304 zenon_H305 zenon_H253 zenon_H15 zenon_H17 zenon_H127 zenon_H3 zenon_H9 zenon_H1 zenon_Hf2 zenon_H135 zenon_H4d zenon_H14d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.13 apply (zenon_L77_); trivial. % 0.92/1.13 apply (zenon_L691_); trivial. % 0.92/1.13 apply (zenon_L81_); trivial. % 0.92/1.13 apply (zenon_L692_); trivial. % 0.92/1.13 (* end of lemma zenon_L703_ *) % 0.92/1.13 assert (zenon_L704_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((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))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (ndr1_0) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c1_1 (a815)) -> (c0_1 (a815)) -> (~(c3_1 (a815))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H14c zenon_H19c zenon_H19a zenon_H94 zenon_H93 zenon_H92 zenon_H1a zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H17 zenon_H15 zenon_H13 zenon_H253 zenon_H305 zenon_H304 zenon_H303 zenon_H1d zenon_H2a zenon_H1e zenon_H31 zenon_H248 zenon_H247 zenon_H246 zenon_H147 zenon_H118 zenon_H11a zenon_H200 zenon_H1b7 zenon_H59 zenon_H5f zenon_H122. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.13 apply (zenon_L397_); trivial. % 0.92/1.13 apply (zenon_L691_); trivial. % 0.92/1.13 apply (zenon_L100_); trivial. % 0.92/1.13 (* end of lemma zenon_L704_ *) % 0.92/1.13 assert (zenon_L705_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((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))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a838)) -> (c0_1 (a838)) -> (~(c3_1 (a838))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (c1_1 (a842)) -> (c0_1 (a842)) -> (~(c2_1 (a842))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a839))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H149 zenon_H14c zenon_H19c zenon_H19a zenon_H94 zenon_H93 zenon_H92 zenon_H1be zenon_H1bf zenon_H1c0 zenon_Hd0 zenon_Hcc zenon_H7d zenon_H6b zenon_H6a zenon_H24f zenon_H147 zenon_H2a zenon_H1e zenon_H1d zenon_H4d zenon_H122. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.13 apply (zenon_L397_); trivial. % 0.92/1.13 apply (zenon_L80_); trivial. % 0.92/1.13 apply (zenon_L100_); trivial. % 0.92/1.13 (* end of lemma zenon_L705_ *) % 0.92/1.13 assert (zenon_L706_ : ((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((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))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c1_1 (a815)) -> (c0_1 (a815)) -> (~(c3_1 (a815))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c0_1 X47)\/((~(c2_1 X47))\/(~(c3_1 X47))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H19e zenon_Ha3 zenon_H83 zenon_He5 zenon_H14c zenon_H19c zenon_H19a zenon_H1be zenon_Hd0 zenon_Hcc zenon_H24f zenon_H14d zenon_H4d zenon_H135 zenon_Hf2 zenon_H127 zenon_H17 zenon_H15 zenon_H253 zenon_H305 zenon_H304 zenon_H303 zenon_H31 zenon_H248 zenon_H247 zenon_H246 zenon_H147 zenon_H11a zenon_H200 zenon_H1c0 zenon_H1bf zenon_H1b7 zenon_H59 zenon_H5f zenon_H122 zenon_H7a zenon_H78 zenon_H1 zenon_H3 zenon_H7. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L703_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_L704_); trivial. % 0.92/1.13 apply (zenon_L705_); trivial. % 0.92/1.13 apply (zenon_L674_); trivial. % 0.92/1.13 (* end of lemma zenon_L706_ *) % 0.92/1.13 assert (zenon_L707_ : ((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H7e zenon_H14c zenon_H11d zenon_H1cd zenon_H1cc zenon_H1cb zenon_H246 zenon_H247 zenon_H248 zenon_Hd0 zenon_Hcc zenon_H303 zenon_H304 zenon_H305 zenon_H253. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.92/1.13 apply (zenon_L208_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_L56_); trivial. % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 apply (zenon_L132_); trivial. % 0.92/1.13 (* end of lemma zenon_L707_ *) % 0.92/1.13 assert (zenon_L708_ : ((ndr1_0)/\((c0_1 (a828))/\((~(c1_1 (a828)))/\(~(c2_1 (a828)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a852))/\((~(c2_1 (a852)))/\(~(c3_1 (a852))))))) -> (~(c1_1 (a820))) -> (~(c3_1 (a820))) -> (c0_1 (a820)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c3_1 X65)\/(~(c0_1 X65))))))\/((hskp12)\/(hskp17))) -> ((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))))))\/(hskp2))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a838))/\((c2_1 (a838))/\(~(c3_1 (a838))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H207 zenon_H206 zenon_H2ae zenon_H299 zenon_H298 zenon_H297 zenon_H296 zenon_H19c zenon_H19a zenon_H200 zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H1a1 zenon_H83 zenon_H1ef zenon_H78 zenon_H14c zenon_H11d zenon_Hd0 zenon_Hcc zenon_H303 zenon_H304 zenon_H305 zenon_He5 zenon_H17 zenon_H48 zenon_H1d8 zenon_H5f zenon_H198 zenon_H1f3 zenon_H18c zenon_H177 zenon_H155 zenon_H160 zenon_H59 zenon_H189 zenon_H18f zenon_H203. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a. zenon_intro zenon_H208. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1cd. zenon_intro zenon_H209. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_L677_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L699_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.13 apply (zenon_L679_); trivial. % 0.92/1.13 apply (zenon_L707_); trivial. % 0.92/1.13 apply (zenon_L135_); trivial. % 0.92/1.13 apply (zenon_L138_); trivial. % 0.92/1.13 apply (zenon_L155_); trivial. % 0.92/1.13 (* end of lemma zenon_L708_ *) % 0.92/1.13 assert (zenon_L709_ : ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp7)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(~(c1_1 X18))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> (~(hskp7)) -> (~(hskp5)) -> ((hskp7)\/((hskp5)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (c2_1 (a817)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H206 zenon_H1c9 zenon_H1c7 zenon_Ha3 zenon_H78 zenon_H7a zenon_H17 zenon_H4d zenon_H48 zenon_H31 zenon_H303 zenon_H304 zenon_H305 zenon_He5 zenon_H59 zenon_H5f zenon_H1 zenon_H3 zenon_H7 zenon_H177 zenon_H2c7 zenon_H2c5 zenon_H2ce zenon_Hf2 zenon_H18c zenon_H155 zenon_H160 zenon_H189 zenon_H18f zenon_H83 zenon_H203. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L675_); trivial. % 0.92/1.13 apply (zenon_L428_); trivial. % 0.92/1.13 apply (zenon_L160_); trivial. % 0.92/1.13 (* end of lemma zenon_L709_ *) % 0.92/1.13 assert (zenon_L710_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(hskp5)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp21)) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H14c zenon_H11d zenon_H1cd zenon_H1cc zenon_H1cb zenon_H135 zenon_H2db zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hd0 zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H3 zenon_H127 zenon_H270 zenon_H5 zenon_H272 zenon_H122. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.13 apply (zenon_L438_); trivial. % 0.92/1.13 apply (zenon_L262_); trivial. % 0.92/1.13 apply (zenon_L132_); trivial. % 0.92/1.13 (* end of lemma zenon_L710_ *) % 0.92/1.13 assert (zenon_L711_ : ((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp5))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> (~(c0_1 (a830))) -> (~(hskp5)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H282 zenon_H30c zenon_H1c0 zenon_H1bf zenon_H1be zenon_H3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H1bd | zenon_intro zenon_H30d ]. % 0.92/1.13 apply (zenon_L119_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H73 | zenon_intro zenon_H4 ]. % 0.92/1.13 apply (zenon_L490_); trivial. % 0.92/1.13 exact (zenon_H3 zenon_H4). % 0.92/1.13 (* end of lemma zenon_L711_ *) % 0.92/1.13 assert (zenon_L712_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp5))) -> (~(c0_1 (a830))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> (~(hskp13)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H285 zenon_H30c zenon_H1be zenon_H122 zenon_H272 zenon_H5 zenon_H127 zenon_H3 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_Hd0 zenon_Hcc zenon_H1c0 zenon_H1bf zenon_H2db zenon_H135 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H11d zenon_H14c. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.13 apply (zenon_L710_); trivial. % 0.92/1.13 apply (zenon_L711_); trivial. % 0.92/1.13 (* end of lemma zenon_L712_ *) % 0.92/1.13 assert (zenon_L713_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> (~(hskp14)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (~(c2_1 (a839))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(hskp1)) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1f3 zenon_H9 zenon_H198 zenon_H122 zenon_H4d zenon_H1cb zenon_H1cc zenon_H1cd zenon_H1d8 zenon_H1d zenon_H1e zenon_H2a zenon_H147 zenon_H127 zenon_H3 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_Hd0 zenon_Hcc zenon_H1c0 zenon_H1bf zenon_H2db zenon_H135 zenon_H11d zenon_H14c. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.13 apply (zenon_L438_); trivial. % 0.92/1.13 apply (zenon_L558_); trivial. % 0.92/1.13 apply (zenon_L132_); trivial. % 0.92/1.13 apply (zenon_L135_); trivial. % 0.92/1.13 (* end of lemma zenon_L713_ *) % 0.92/1.13 assert (zenon_L714_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(hskp5)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((hskp21)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> (~(c0_1 (a830))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a857))/\((~(c2_1 (a857)))/\(~(c3_1 (a857))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Ha3 zenon_H83 zenon_H15 zenon_H1ef zenon_H147 zenon_H1d8 zenon_H4d zenon_H198 zenon_H1f3 zenon_H14c zenon_H11d zenon_H1cd zenon_H1cc zenon_H1cb zenon_H135 zenon_H2db zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hd0 zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H3 zenon_H127 zenon_H272 zenon_H122 zenon_H1be zenon_H30c zenon_H285. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L712_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L713_); trivial. % 0.92/1.13 apply (zenon_L138_); trivial. % 0.92/1.13 (* end of lemma zenon_L714_ *) % 0.92/1.13 assert (zenon_L715_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> (~(hskp14)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> (~(hskp13)) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1f3 zenon_H14c zenon_H11d zenon_Hcc zenon_H1cd zenon_H1cc zenon_H1cb zenon_H9 zenon_H198 zenon_H1da zenon_H5 zenon_H16d zenon_H16e zenon_H16f zenon_H177 zenon_H18c. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.13 apply (zenon_L319_); trivial. % 0.92/1.13 apply (zenon_L135_); trivial. % 0.92/1.13 (* end of lemma zenon_L715_ *) % 0.92/1.13 assert (zenon_L716_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> (~(hskp13)) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> (~(c1_1 (a828))) -> (~(c2_1 (a828))) -> (c0_1 (a828)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H83 zenon_H59 zenon_Hd0 zenon_H1bf zenon_H1c0 zenon_H200 zenon_H155 zenon_H18c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H5 zenon_H1da zenon_H198 zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hcc zenon_H11d zenon_H14c zenon_H1f3. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L715_); trivial. % 0.92/1.13 apply (zenon_L154_); trivial. % 0.92/1.13 (* end of lemma zenon_L716_ *) % 0.92/1.13 assert (zenon_L717_ : ((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (c3_1 (a831)) -> (~(c1_1 (a831))) -> (~(c0_1 (a831))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(hskp5)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_Ha4 zenon_H83 zenon_H18c zenon_H177 zenon_H16f zenon_H16e zenon_H16d zenon_H59 zenon_H200 zenon_H155 zenon_H14c zenon_H11d zenon_H135 zenon_H2db zenon_H1bf zenon_H1c0 zenon_Hcc zenon_Hd0 zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H3 zenon_H127 zenon_H147 zenon_H1d8 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H4d zenon_H122 zenon_H198 zenon_H1f3. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L713_); trivial. % 0.92/1.13 apply (zenon_L154_); trivial. % 0.92/1.13 (* end of lemma zenon_L717_ *) % 0.92/1.13 assert (zenon_L718_ : ((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(hskp5)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52)))))))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H1f4 zenon_Ha3 zenon_H135 zenon_H2db zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H3 zenon_H127 zenon_H147 zenon_H1d8 zenon_H4d zenon_H122 zenon_H1f3 zenon_H14c zenon_H11d zenon_Hcc zenon_H1cd zenon_H1cc zenon_H1cb zenon_H198 zenon_H1da zenon_H177 zenon_H18c zenon_H155 zenon_H200 zenon_H1c0 zenon_H1bf zenon_Hd0 zenon_H59 zenon_H83. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L716_); trivial. % 0.92/1.13 apply (zenon_L717_); trivial. % 0.92/1.13 (* end of lemma zenon_L718_ *) % 0.92/1.13 assert (zenon_L719_ : ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a830)))/\((~(c2_1 (a830)))/\(~(c3_1 (a830))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp7)\/(hskp4))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> (c1_1 (a815)) -> (c0_1 (a815)) -> (~(c3_1 (a815))) -> (c3_1 (a825)) -> (c1_1 (a825)) -> (~(c0_1 (a825))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (c2_1 (a817)) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp14)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((hskp15)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((~(c0_1 X48))\/(~(c2_1 X48))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a844))/\((~(c1_1 (a844)))/\(~(c3_1 (a844))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H206 zenon_H1c9 zenon_H1c7 zenon_He5 zenon_H305 zenon_H304 zenon_H303 zenon_H20c zenon_H20b zenon_H20a zenon_H1a zenon_H177 zenon_H2c7 zenon_H2c5 zenon_H2ce zenon_H1 zenon_Hf2 zenon_H18c zenon_H155 zenon_H48 zenon_H160 zenon_H59 zenon_H189 zenon_H18f zenon_H83 zenon_H203. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L685_); trivial. % 0.92/1.13 apply (zenon_L428_); trivial. % 0.92/1.13 apply (zenon_L160_); trivial. % 0.92/1.13 (* end of lemma zenon_L719_ *) % 0.92/1.13 assert (zenon_L720_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(hskp23)) -> (~(c2_1 (a839))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5)))))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (ndr1_0) -> (~(c3_1 (a892))) -> (c1_1 (a892)) -> (c2_1 (a892)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H2db zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_He9 zenon_H1d zenon_Hc3 zenon_H2a zenon_H1e zenon_H1bf zenon_H1c0 zenon_H24f zenon_H1a zenon_H129 zenon_H12a zenon_H12b. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2dc ]. % 0.92/1.13 apply (zenon_L436_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hf4 ]. % 0.92/1.13 apply (zenon_L209_); trivial. % 0.92/1.13 apply (zenon_L75_); trivial. % 0.92/1.13 (* end of lemma zenon_L720_ *) % 0.92/1.13 assert (zenon_L721_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c1_1 (a815)) -> (c0_1 (a815)) -> (~(c3_1 (a815))) -> (~(c0_1 (a817))) -> (~(c3_1 (a817))) -> (c2_1 (a817)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c3_1 (a839)) -> (c1_1 (a839)) -> (~(c2_1 (a839))) -> (~(c3_1 (a830))) -> (~(c2_1 (a830))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp23)) -> (~(hskp5)) -> ((hskp23)\/((hskp25)\/(hskp5))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H135 zenon_H253 zenon_H305 zenon_H304 zenon_H303 zenon_H2c5 zenon_H2c7 zenon_H2ce zenon_H24f zenon_H1e zenon_H2a zenon_H1d zenon_H1c0 zenon_H1bf zenon_H2db zenon_H248 zenon_H247 zenon_H246 zenon_He9 zenon_H3 zenon_H127. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H125 | zenon_intro zenon_H132 ]. % 0.92/1.13 apply (zenon_L74_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H1a. zenon_intro zenon_H133. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12a. zenon_intro zenon_H134. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H12b. zenon_intro zenon_H129. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.92/1.13 apply (zenon_L208_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_L720_); trivial. % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 (* end of lemma zenon_L721_ *) % 0.92/1.13 assert (zenon_L722_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((hskp23)\/((hskp25)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a821))) -> (~(c1_1 (a821))) -> (c2_1 (a821)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((c3_1 X35)\/(~(c2_1 X35))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a817)) -> (~(c3_1 (a817))) -> (~(c0_1 (a817))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a892))/\((c2_1 (a892))/\(~(c3_1 (a892))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H149 zenon_H122 zenon_H4d zenon_H147 zenon_H127 zenon_H3 zenon_H246 zenon_H247 zenon_H248 zenon_H2db zenon_H1bf zenon_H1c0 zenon_H1d zenon_H2a zenon_H1e zenon_H24f zenon_H2ce zenon_H2c7 zenon_H2c5 zenon_H303 zenon_H304 zenon_H305 zenon_H253 zenon_H135. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.13 apply (zenon_L721_); trivial. % 0.92/1.13 apply (zenon_L80_); trivial. % 0.92/1.13 (* end of lemma zenon_L722_ *) % 0.92/1.13 assert (zenon_L723_ : ((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a862))/\((c3_1 (a862))/\(~(c1_1 (a862))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c1_1 (a815)) -> (c0_1 (a815)) -> (~(c3_1 (a815))) -> (~(c0_1 (a830))) -> (~(c2_1 (a830))) -> (~(c3_1 (a830))) -> (~(c2_1 (a839))) -> (c1_1 (a839)) -> (c3_1 (a839)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp23))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(c0_1 (a831))) -> (~(c1_1 (a831))) -> (c3_1 (a831)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H149 zenon_H122 zenon_H4d zenon_H147 zenon_H253 zenon_H305 zenon_H304 zenon_H303 zenon_H1be zenon_H1bf zenon_H1c0 zenon_H1d zenon_H2a zenon_H1e zenon_H24f zenon_H248 zenon_H247 zenon_H246 zenon_H16d zenon_H16e zenon_H16f zenon_H177. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.13 apply (zenon_L693_); trivial. % 0.92/1.13 apply (zenon_L80_); trivial. % 0.92/1.13 (* end of lemma zenon_L723_ *) % 0.92/1.13 assert (zenon_L724_ : ((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> False). % 0.92/1.13 do 0 intro. intros zenon_H5c zenon_H253 zenon_H248 zenon_H247 zenon_H246 zenon_H46 zenon_H48 zenon_H303 zenon_H304 zenon_H305. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H1a. zenon_intro zenon_H5d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H50. zenon_intro zenon_H51. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H245 | zenon_intro zenon_H254 ]. % 0.92/1.13 apply (zenon_L208_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hd2 ]. % 0.92/1.13 apply (zenon_L86_); trivial. % 0.92/1.13 apply (zenon_L671_); trivial. % 0.92/1.13 (* end of lemma zenon_L724_ *) % 0.92/1.13 assert (zenon_L725_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c1_1 (a815)) -> (c0_1 (a815)) -> (~(c3_1 (a815))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> (ndr1_0) -> (~(c2_1 (a842))) -> (c0_1 (a842)) -> (c1_1 (a842)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H59 zenon_H253 zenon_H305 zenon_H304 zenon_H303 zenon_H46 zenon_H48 zenon_H248 zenon_H247 zenon_H246 zenon_H1a zenon_H6a zenon_H6b zenon_H7d zenon_H153 zenon_H155. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H2f | zenon_intro zenon_H5c ]. % 0.92/1.13 apply (zenon_L85_); trivial. % 0.92/1.13 apply (zenon_L724_); trivial. % 0.92/1.13 (* end of lemma zenon_L725_ *) % 0.92/1.13 assert (zenon_L726_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp29)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp14)\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a826))/\((c2_1 (a826))/\(c3_1 (a826)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> (c0_1 (a828)) -> (~(c2_1 (a828))) -> (~(c1_1 (a828))) -> ((hskp27)\/((hskp18)\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c1_1 (a815)) -> (c0_1 (a815)) -> (~(c3_1 (a815))) -> (~(hskp1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp1)\/(hskp22))) -> (c2_1 (a821)) -> (~(c1_1 (a821))) -> (~(c0_1 (a821))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a860)))/\((~(c1_1 (a860)))/\(~(c2_1 (a860))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a854))/\((~(c0_1 (a854)))/\(~(c2_1 (a854))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c2_1 X)\/(~(c0_1 X))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a842))/\((c1_1 (a842))/\(~(c2_1 (a842))))))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H203 zenon_Ha3 zenon_H31 zenon_H1da zenon_H177 zenon_H18c zenon_H59 zenon_H155 zenon_H1f3 zenon_H198 zenon_H5f zenon_H1d8 zenon_H46 zenon_H48 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H17 zenon_H253 zenon_H305 zenon_H304 zenon_H303 zenon_Hcc zenon_Hd0 zenon_H248 zenon_H247 zenon_H246 zenon_H11d zenon_H14c zenon_H78 zenon_H1ef zenon_H83. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.13 apply (zenon_L128_); trivial. % 0.92/1.13 apply (zenon_L707_); trivial. % 0.92/1.13 apply (zenon_L135_); trivial. % 0.92/1.13 apply (zenon_L138_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L715_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.13 apply (zenon_L725_); trivial. % 0.92/1.13 apply (zenon_L92_); trivial. % 0.92/1.13 apply (zenon_L689_); trivial. % 0.92/1.13 (* end of lemma zenon_L726_ *) % 0.92/1.13 assert (zenon_L727_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a831))/\((~(c0_1 (a831)))/\(~(c1_1 (a831))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a839))/\((c3_1 (a839))/\(~(c2_1 (a839))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((~(c1_1 X22))\/(~(c3_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a855)))/\((~(c1_1 (a855)))/\(~(c3_1 (a855))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/(forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))) -> ((hskp13)\/((hskp16)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a865))/\((c2_1 (a865))/\(c3_1 (a865)))))) -> (~(hskp8)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((forall X52 : zenon_U, ((ndr1_0)->((~(c1_1 X52))\/((~(c2_1 X52))\/(~(c3_1 X52))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp29))) -> (c3_1 (a816)) -> (c0_1 (a816)) -> (~(c2_1 (a816))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c0_1 X26))\/(~(c3_1 X26))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c1_1 X54)\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp20))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a856))/\((~(c1_1 (a856)))/\(~(c2_1 (a856))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a848))/\((c3_1 (a848))/\(~(c1_1 (a848))))))) -> (ndr1_0) -> (~(c0_1 (a825))) -> (c1_1 (a825)) -> (c3_1 (a825)) -> (~(c3_1 (a815))) -> (c0_1 (a815)) -> (c1_1 (a815)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c1_1 X5))\/(~(c3_1 X5))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp9))) -> False). % 0.92/1.13 do 0 intro. intros zenon_H203 zenon_Ha3 zenon_H4d zenon_H18c zenon_H177 zenon_H1da zenon_H59 zenon_H46 zenon_H48 zenon_H31 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H11a zenon_H19a zenon_H25c zenon_H14d zenon_H1f3 zenon_H1a zenon_H20a zenon_H20b zenon_H20c zenon_H303 zenon_H304 zenon_H305 zenon_He5. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L685_); trivial. % 0.92/1.13 apply (zenon_L550_); trivial. % 0.92/1.13 (* end of lemma zenon_L727_ *) % 0.92/1.13 apply NNPP. intro zenon_G. % 0.92/1.13 apply zenon_G. zenon_intro zenon_H30e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H310. zenon_intro zenon_H30f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H312. zenon_intro zenon_H311. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H314. zenon_intro zenon_H313. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H316. zenon_intro zenon_H315. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H318. zenon_intro zenon_H317. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H31a. zenon_intro zenon_H319. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H31c. zenon_intro zenon_H31b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H2d4. zenon_intro zenon_H31d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H206. zenon_intro zenon_H31e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H203. zenon_intro zenon_H31f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H237. zenon_intro zenon_H320. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H1b9. zenon_intro zenon_H321. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H1a1. zenon_intro zenon_H322. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_Ha3. zenon_intro zenon_H323. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H83. zenon_intro zenon_H324. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H18f. zenon_intro zenon_H325. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H1f3. zenon_intro zenon_H326. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H2ae. zenon_intro zenon_H327. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H78. zenon_intro zenon_H328. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H18c. zenon_intro zenon_H329. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H14d. zenon_intro zenon_H32a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H285. zenon_intro zenon_H32b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H14c. zenon_intro zenon_H32c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H122. zenon_intro zenon_H32d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_Ha2. zenon_intro zenon_H32e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H135. zenon_intro zenon_H32f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_Hfa. zenon_intro zenon_H330. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H5f. zenon_intro zenon_H331. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Hc1. zenon_intro zenon_H332. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H59. zenon_intro zenon_H333. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H255. zenon_intro zenon_H334. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H11d. zenon_intro zenon_H335. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H19c. zenon_intro zenon_H336. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H177. zenon_intro zenon_H337. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H1de. zenon_intro zenon_H338. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H253. zenon_intro zenon_H339. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H33b. zenon_intro zenon_H33a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H292. zenon_intro zenon_H33c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H25c. zenon_intro zenon_H33d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H33f. zenon_intro zenon_H33e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H30c. zenon_intro zenon_H340. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H25a. zenon_intro zenon_H341. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H1c9. zenon_intro zenon_H342. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H79. zenon_intro zenon_H343. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H7a. zenon_intro zenon_H344. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H21f. zenon_intro zenon_H345. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H4d. zenon_intro zenon_H346. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_Hab. zenon_intro zenon_H347. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H21d. zenon_intro zenon_H348. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H26c. zenon_intro zenon_H349. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H9e. zenon_intro zenon_H34a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H1a2. zenon_intro zenon_H34b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H2db. zenon_intro zenon_H34c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H34e. zenon_intro zenon_H34d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H229. zenon_intro zenon_H34f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_He5. zenon_intro zenon_H350. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H213. zenon_intro zenon_H351. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H160. zenon_intro zenon_H352. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H1b7. zenon_intro zenon_H353. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H200. zenon_intro zenon_H354. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H356. zenon_intro zenon_H355. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H1ff. zenon_intro zenon_H357. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H147. zenon_intro zenon_H358. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H1d8. zenon_intro zenon_H359. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1ef. zenon_intro zenon_H35a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35c. zenon_intro zenon_H35b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H296. zenon_intro zenon_H35d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H35f. zenon_intro zenon_H35e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H189. zenon_intro zenon_H360. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H11a. zenon_intro zenon_H361. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H272. zenon_intro zenon_H362. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H198. zenon_intro zenon_H363. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H28d. zenon_intro zenon_H364. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H24f. zenon_intro zenon_H365. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_Hd0. zenon_intro zenon_H366. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H155. zenon_intro zenon_H367. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H31. zenon_intro zenon_H368. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_Hf2. zenon_intro zenon_H369. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H36b. zenon_intro zenon_H36a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H36d. zenon_intro zenon_H36c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H48. zenon_intro zenon_H36e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_Hed. zenon_intro zenon_H36f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H26a. zenon_intro zenon_H370. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_Hf. zenon_intro zenon_H371. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H86. zenon_intro zenon_H372. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H17. zenon_intro zenon_H373. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H127. zenon_intro zenon_H376. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H7. zenon_intro zenon_H1da. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H1dc | zenon_intro zenon_H377 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_Hcc | zenon_intro zenon_H378 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H19a | zenon_intro zenon_H379 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_Heb | zenon_intro zenon_H37a ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H37b ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L82_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_L118_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_L121_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a. zenon_intro zenon_H208. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1cd. zenon_intro zenon_H209. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.92/1.13 apply (zenon_L157_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L186_); trivial. % 0.92/1.13 apply (zenon_L158_); trivial. % 0.92/1.13 apply (zenon_L160_); trivial. % 0.92/1.13 apply (zenon_L161_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H1a. zenon_intro zenon_H37c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H248. zenon_intro zenon_H37d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H246. zenon_intro zenon_H247. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H9b | zenon_intro zenon_H2ea ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_L159_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L206_); trivial. % 0.92/1.13 apply (zenon_L222_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_L227_); trivial. % 0.92/1.13 apply (zenon_L161_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1a. zenon_intro zenon_H2eb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25f. zenon_intro zenon_H2ec. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_L159_); trivial. % 0.92/1.13 apply (zenon_L236_); trivial. % 0.92/1.13 apply (zenon_L241_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H9b | zenon_intro zenon_H2ea ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L258_); trivial. % 0.92/1.13 apply (zenon_L158_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L280_); trivial. % 0.92/1.13 apply (zenon_L288_); trivial. % 0.92/1.13 apply (zenon_L294_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L299_); trivial. % 0.92/1.13 apply (zenon_L300_); trivial. % 0.92/1.13 apply (zenon_L318_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L335_); trivial. % 0.92/1.13 apply (zenon_L336_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L335_); trivial. % 0.92/1.13 apply (zenon_L344_); trivial. % 0.92/1.13 apply (zenon_L347_); trivial. % 0.92/1.13 apply (zenon_L161_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1a. zenon_intro zenon_H2eb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25f. zenon_intro zenon_H2ec. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L258_); trivial. % 0.92/1.13 apply (zenon_L348_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L355_); trivial. % 0.92/1.13 apply (zenon_L348_); trivial. % 0.92/1.13 apply (zenon_L357_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H1a. zenon_intro zenon_H37e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H297. zenon_intro zenon_H37f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H299. zenon_intro zenon_H298. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H37b ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H9b | zenon_intro zenon_H2ea ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L367_); trivial. % 0.92/1.13 apply (zenon_L371_); trivial. % 0.92/1.13 apply (zenon_L160_); trivial. % 0.92/1.13 apply (zenon_L161_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1a. zenon_intro zenon_H2eb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25f. zenon_intro zenon_H2ec. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L372_); trivial. % 0.92/1.13 apply (zenon_L371_); trivial. % 0.92/1.13 apply (zenon_L160_); trivial. % 0.92/1.13 apply (zenon_L161_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L186_); trivial. % 0.92/1.13 apply (zenon_L371_); trivial. % 0.92/1.13 apply (zenon_L160_); trivial. % 0.92/1.13 apply (zenon_L161_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H1a. zenon_intro zenon_H37c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H248. zenon_intro zenon_H37d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H246. zenon_intro zenon_H247. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H9b | zenon_intro zenon_H2ea ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L389_); trivial. % 0.92/1.13 apply (zenon_L371_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_L392_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L396_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L41_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_L398_); trivial. % 0.92/1.13 apply (zenon_L298_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_L400_); trivial. % 0.92/1.13 apply (zenon_L402_); trivial. % 0.92/1.13 apply (zenon_L161_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1a. zenon_intro zenon_H2eb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25f. zenon_intro zenon_H2ec. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L407_); trivial. % 0.92/1.13 apply (zenon_L371_); trivial. % 0.92/1.13 apply (zenon_L236_); trivial. % 0.92/1.13 apply (zenon_L241_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H9b | zenon_intro zenon_H2ea ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_L408_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L280_); trivial. % 0.92/1.13 apply (zenon_L410_); trivial. % 0.92/1.13 apply (zenon_L294_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L396_); trivial. % 0.92/1.13 apply (zenon_L412_); trivial. % 0.92/1.13 apply (zenon_L318_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L334_); trivial. % 0.92/1.13 apply (zenon_L410_); trivial. % 0.92/1.13 apply (zenon_L336_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L396_); trivial. % 0.92/1.13 apply (zenon_L344_); trivial. % 0.92/1.13 apply (zenon_L347_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1a. zenon_intro zenon_H2eb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25f. zenon_intro zenon_H2ec. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_L408_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L417_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L351_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_L421_); trivial. % 0.92/1.13 apply (zenon_L279_); trivial. % 0.92/1.13 apply (zenon_L415_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L396_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L351_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.92/1.13 apply (zenon_L420_); trivial. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.92/1.13 apply (zenon_L393_); trivial. % 0.92/1.13 exact (zenon_H1dc zenon_H1dd). % 0.92/1.13 apply (zenon_L287_); trivial. % 0.92/1.13 apply (zenon_L422_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L417_); trivial. % 0.92/1.13 apply (zenon_L424_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L396_); trivial. % 0.92/1.13 apply (zenon_L424_); trivial. % 0.92/1.13 apply (zenon_L422_); trivial. % 0.92/1.13 apply (zenon_L357_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H1a. zenon_intro zenon_H380. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H2ce. zenon_intro zenon_H381. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H2c5. zenon_intro zenon_H2c7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_Heb | zenon_intro zenon_H37a ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H37b ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L82_); trivial. % 0.92/1.13 apply (zenon_L428_); trivial. % 0.92/1.13 apply (zenon_L160_); trivial. % 0.92/1.13 apply (zenon_L161_); trivial. % 0.92/1.13 apply (zenon_L429_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H1a. zenon_intro zenon_H37c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H248. zenon_intro zenon_H37d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H246. zenon_intro zenon_H247. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H9b | zenon_intro zenon_H2ea ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_L378_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.13 apply (zenon_L29_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H1a. zenon_intro zenon_H7f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H63. zenon_intro zenon_H80. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H61. zenon_intro zenon_H62. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha7 | zenon_intro zenon_He4 ]. % 0.92/1.13 apply (zenon_L52_); trivial. % 0.92/1.13 apply (zenon_L240_); trivial. % 0.92/1.13 apply (zenon_L364_); trivial. % 0.92/1.13 apply (zenon_L204_); trivial. % 0.92/1.13 apply (zenon_L384_); trivial. % 0.92/1.13 apply (zenon_L435_); trivial. % 0.92/1.13 apply (zenon_L428_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L206_); trivial. % 0.92/1.13 apply (zenon_L441_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_L447_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_L460_); trivial. % 0.92/1.13 apply (zenon_L461_); trivial. % 0.92/1.13 apply (zenon_L161_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1a. zenon_intro zenon_H2eb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25f. zenon_intro zenon_H2ec. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_L462_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_L354_); trivial. % 0.92/1.13 apply (zenon_L348_); trivial. % 0.92/1.13 apply (zenon_L241_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H9b | zenon_intro zenon_H2ea ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_L463_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_L470_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L163_); trivial. % 0.92/1.13 apply (zenon_L479_); trivial. % 0.92/1.13 apply (zenon_L300_); trivial. % 0.92/1.13 apply (zenon_L318_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_L484_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L481_); trivial. % 0.92/1.13 apply (zenon_L460_); trivial. % 0.92/1.13 apply (zenon_L461_); trivial. % 0.92/1.13 apply (zenon_L161_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1a. zenon_intro zenon_H2eb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25f. zenon_intro zenon_H2ec. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_L463_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L355_); trivial. % 0.92/1.13 apply (zenon_L501_); trivial. % 0.92/1.13 apply (zenon_L357_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H1a. zenon_intro zenon_H37e. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H297. zenon_intro zenon_H37f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H299. zenon_intro zenon_H298. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H37b ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H9b | zenon_intro zenon_H2ea ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L367_); trivial. % 0.92/1.13 apply (zenon_L428_); trivial. % 0.92/1.13 apply (zenon_L160_); trivial. % 0.92/1.13 apply (zenon_L161_); trivial. % 0.92/1.13 apply (zenon_L502_); trivial. % 0.92/1.13 apply (zenon_L429_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H1a. zenon_intro zenon_H37c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H248. zenon_intro zenon_H37d. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H246. zenon_intro zenon_H247. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H9b | zenon_intro zenon_H2ea ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L389_); trivial. % 0.92/1.13 apply (zenon_L428_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L8_); trivial. % 0.92/1.13 apply (zenon_L441_); trivial. % 0.92/1.13 apply (zenon_L503_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L396_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L41_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_L439_); trivial. % 0.92/1.13 apply (zenon_L394_); trivial. % 0.92/1.13 apply (zenon_L220_); trivial. % 0.92/1.13 apply (zenon_L504_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_L447_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L396_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L4_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L41_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_L505_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_Hce | zenon_intro zenon_H121 ]. % 0.92/1.13 apply (zenon_L219_); trivial. % 0.92/1.13 apply (zenon_L394_); trivial. % 0.92/1.13 apply (zenon_L95_); trivial. % 0.92/1.13 apply (zenon_L461_); trivial. % 0.92/1.13 apply (zenon_L241_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1a. zenon_intro zenon_H2eb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25f. zenon_intro zenon_H2ec. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_L407_); trivial. % 0.92/1.13 apply (zenon_L428_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L506_); trivial. % 0.92/1.13 apply (zenon_L514_); trivial. % 0.92/1.13 apply (zenon_L520_); trivial. % 0.92/1.13 apply (zenon_L522_); trivial. % 0.92/1.13 apply (zenon_L241_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H9b | zenon_intro zenon_H2ea ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_L463_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_L470_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L396_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L163_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.13 apply (zenon_L297_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_L278_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.13 apply (zenon_L523_); trivial. % 0.92/1.13 apply (zenon_L476_); trivial. % 0.92/1.13 apply (zenon_L296_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L41_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_L281_); trivial. % 0.92/1.13 apply (zenon_L524_); trivial. % 0.92/1.13 apply (zenon_L504_); trivial. % 0.92/1.13 apply (zenon_L318_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_L484_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L396_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L427_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.13 apply (zenon_L319_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_L330_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.13 apply (zenon_L523_); trivial. % 0.92/1.13 apply (zenon_L480_); trivial. % 0.92/1.13 apply (zenon_L92_); trivial. % 0.92/1.13 apply (zenon_L95_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L41_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H15e | zenon_intro zenon_H18b ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_L505_); trivial. % 0.92/1.13 apply (zenon_L524_); trivial. % 0.92/1.13 apply (zenon_L95_); trivial. % 0.92/1.13 apply (zenon_L461_); trivial. % 0.92/1.13 apply (zenon_L241_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1a. zenon_intro zenon_H2eb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25f. zenon_intro zenon_H2ec. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.13 apply (zenon_L163_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.13 apply (zenon_L250_); trivial. % 0.92/1.13 apply (zenon_L234_); trivial. % 0.92/1.13 apply (zenon_L243_); trivial. % 0.92/1.13 apply (zenon_L251_); trivial. % 0.92/1.13 apply (zenon_L428_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L417_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.13 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.13 apply (zenon_L351_); trivial. % 0.92/1.13 apply (zenon_L513_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.13 apply (zenon_L396_); trivial. % 0.92/1.13 apply (zenon_L525_); trivial. % 0.92/1.13 apply (zenon_L422_); trivial. % 0.92/1.13 apply (zenon_L241_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H1a. zenon_intro zenon_H382. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H2ee. zenon_intro zenon_H383. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H2ef. zenon_intro zenon_H2ed. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H19a | zenon_intro zenon_H379 ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_Heb | zenon_intro zenon_H37a ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.13 apply (zenon_L564_); trivial. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.13 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H9b | zenon_intro zenon_H2ea ]. % 0.92/1.13 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.13 apply (zenon_L587_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.14 apply (zenon_L537_); trivial. % 0.92/1.14 apply (zenon_L279_); trivial. % 0.92/1.14 apply (zenon_L569_); trivial. % 0.92/1.14 apply (zenon_L594_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.14 apply (zenon_L8_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H153 | zenon_intro zenon_H176 ]. % 0.92/1.14 apply (zenon_L185_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H163. zenon_intro zenon_H179. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H164. zenon_intro zenon_H165. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.14 apply (zenon_L537_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.14 apply (zenon_L543_); trivial. % 0.92/1.14 apply (zenon_L307_); trivial. % 0.92/1.14 apply (zenon_L569_); trivial. % 0.92/1.14 apply (zenon_L595_); trivial. % 0.92/1.14 apply (zenon_L594_); trivial. % 0.92/1.14 apply (zenon_L544_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1a. zenon_intro zenon_H2eb. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25f. zenon_intro zenon_H2ec. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_L599_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_L605_); trivial. % 0.92/1.14 apply (zenon_L544_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H1a. zenon_intro zenon_H37e. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H297. zenon_intro zenon_H37f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H299. zenon_intro zenon_H298. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.14 apply (zenon_L623_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H9b | zenon_intro zenon_H2ea ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_L587_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.14 apply (zenon_L625_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.92/1.14 apply (zenon_L361_); trivial. % 0.92/1.14 apply (zenon_L626_); trivial. % 0.92/1.14 apply (zenon_L611_); trivial. % 0.92/1.14 apply (zenon_L627_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_L593_); trivial. % 0.92/1.14 apply (zenon_L611_); trivial. % 0.92/1.14 apply (zenon_L628_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.14 apply (zenon_L8_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H1a. zenon_intro zenon_H7b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H6b. zenon_intro zenon_H7c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7d. zenon_intro zenon_H6a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.92/1.14 apply (zenon_L361_); trivial. % 0.92/1.14 apply (zenon_L633_); trivial. % 0.92/1.14 apply (zenon_L595_); trivial. % 0.92/1.14 apply (zenon_L402_); trivial. % 0.92/1.14 apply (zenon_L622_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1a. zenon_intro zenon_H2eb. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25f. zenon_intro zenon_H2ec. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_L599_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_L605_); trivial. % 0.92/1.14 apply (zenon_L622_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H1a. zenon_intro zenon_H380. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H2ce. zenon_intro zenon_H381. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H2c5. zenon_intro zenon_H2c7. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.14 apply (zenon_L657_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H9b | zenon_intro zenon_H2ea ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.14 apply (zenon_L567_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.14 apply (zenon_L571_); trivial. % 0.92/1.14 apply (zenon_L468_); trivial. % 0.92/1.14 apply (zenon_L569_); trivial. % 0.92/1.14 apply (zenon_L531_); trivial. % 0.92/1.14 apply (zenon_L660_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.14 apply (zenon_L8_); trivial. % 0.92/1.14 apply (zenon_L661_); trivial. % 0.92/1.14 apply (zenon_L531_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H1a. zenon_intro zenon_H19f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H93. zenon_intro zenon_H1a0. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H94. zenon_intro zenon_H92. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.14 apply (zenon_L41_); trivial. % 0.92/1.14 apply (zenon_L661_); trivial. % 0.92/1.14 apply (zenon_L531_); trivial. % 0.92/1.14 apply (zenon_L660_); trivial. % 0.92/1.14 apply (zenon_L428_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H21b | zenon_intro zenon_H238 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.14 apply (zenon_L590_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.14 apply (zenon_L591_); trivial. % 0.92/1.14 apply (zenon_L468_); trivial. % 0.92/1.14 apply (zenon_L569_); trivial. % 0.92/1.14 apply (zenon_L662_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.14 apply (zenon_L590_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.14 apply (zenon_L591_); trivial. % 0.92/1.14 apply (zenon_L658_); trivial. % 0.92/1.14 apply (zenon_L569_); trivial. % 0.92/1.14 apply (zenon_L662_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H1a. zenon_intro zenon_H239. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H22f. zenon_intro zenon_H23a. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H230. zenon_intro zenon_H22e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.14 apply (zenon_L590_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.14 apply (zenon_L591_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1a. zenon_intro zenon_H283. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H275. zenon_intro zenon_H284. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H276. zenon_intro zenon_H274. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.14 apply (zenon_L589_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H1a. zenon_intro zenon_H11e. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H106. zenon_intro zenon_H11f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H107. zenon_intro zenon_H105. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_Hfb | zenon_intro zenon_H256 ]. % 0.92/1.14 apply (zenon_L663_); trivial. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1dd ]. % 0.92/1.14 apply (zenon_L664_); trivial. % 0.92/1.14 exact (zenon_H1dc zenon_H1dd). % 0.92/1.14 apply (zenon_L569_); trivial. % 0.92/1.14 apply (zenon_L662_); trivial. % 0.92/1.14 apply (zenon_L666_); trivial. % 0.92/1.14 apply (zenon_L656_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1a. zenon_intro zenon_H2eb. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25f. zenon_intro zenon_H2ec. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_L598_); trivial. % 0.92/1.14 apply (zenon_L670_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_L605_); trivial. % 0.92/1.14 apply (zenon_L666_); trivial. % 0.92/1.14 apply (zenon_L656_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H1a. zenon_intro zenon_H384. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H304. zenon_intro zenon_H385. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H305. zenon_intro zenon_H303. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_Hcc | zenon_intro zenon_H378 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H19a | zenon_intro zenon_H379 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_Heb | zenon_intro zenon_H37a ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H37b ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_L675_); trivial. % 0.92/1.14 apply (zenon_L158_); trivial. % 0.92/1.14 apply (zenon_L160_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a. zenon_intro zenon_H208. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1cd. zenon_intro zenon_H209. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_L677_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Hd | zenon_intro zenon_H1ba ]. % 0.92/1.14 apply (zenon_L681_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a. zenon_intro zenon_H1bb. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1a8. zenon_intro zenon_H1bc. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_H1a9. zenon_intro zenon_H1a7. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_L683_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.92/1.14 apply (zenon_L684_); trivial. % 0.92/1.14 apply (zenon_L138_); trivial. % 0.92/1.14 apply (zenon_L155_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_L685_); trivial. % 0.92/1.14 apply (zenon_L158_); trivial. % 0.92/1.14 apply (zenon_L160_); trivial. % 0.92/1.14 apply (zenon_L687_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H1a. zenon_intro zenon_H37c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H248. zenon_intro zenon_H37d. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H246. zenon_intro zenon_H247. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_L690_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_L4_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.14 apply (zenon_L188_); trivial. % 0.92/1.14 apply (zenon_L691_); trivial. % 0.92/1.14 apply (zenon_L200_); trivial. % 0.92/1.14 apply (zenon_L692_); trivial. % 0.92/1.14 apply (zenon_L694_); trivial. % 0.92/1.14 apply (zenon_L696_); trivial. % 0.92/1.14 apply (zenon_L697_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H1a. zenon_intro zenon_H37e. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H297. zenon_intro zenon_H37f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H299. zenon_intro zenon_H298. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H37b ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_L675_); trivial. % 0.92/1.14 apply (zenon_L371_); trivial. % 0.92/1.14 apply (zenon_L160_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a. zenon_intro zenon_H208. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1cd. zenon_intro zenon_H209. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_L677_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.14 apply (zenon_L699_); trivial. % 0.92/1.14 apply (zenon_L680_); trivial. % 0.92/1.14 apply (zenon_L155_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_L685_); trivial. % 0.92/1.14 apply (zenon_L371_); trivial. % 0.92/1.14 apply (zenon_L160_); trivial. % 0.92/1.14 apply (zenon_L687_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H1a. zenon_intro zenon_H37c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H248. zenon_intro zenon_H37d. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H246. zenon_intro zenon_H247. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_L690_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb | zenon_intro zenon_H19e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_L4_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H294 | zenon_intro zenon_H2ab ]. % 0.92/1.14 apply (zenon_L361_); trivial. % 0.92/1.14 apply (zenon_L702_); trivial. % 0.92/1.14 apply (zenon_L706_); trivial. % 0.92/1.14 apply (zenon_L694_); trivial. % 0.92/1.14 apply (zenon_L708_); trivial. % 0.92/1.14 apply (zenon_L697_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H1a. zenon_intro zenon_H380. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H2ce. zenon_intro zenon_H381. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H2c5. zenon_intro zenon_H2c7. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H37b ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.14 apply (zenon_L709_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a. zenon_intro zenon_H208. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1cd. zenon_intro zenon_H209. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_L677_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_L714_); trivial. % 0.92/1.14 apply (zenon_L718_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.14 apply (zenon_L719_); trivial. % 0.92/1.14 apply (zenon_L687_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H1a. zenon_intro zenon_H37c. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H248. zenon_intro zenon_H37d. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H246. zenon_intro zenon_H247. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1 | zenon_intro zenon_H207 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_L690_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_L4_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H13 | zenon_intro zenon_H7e ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.14 apply (zenon_L721_); trivial. % 0.92/1.14 apply (zenon_L691_); trivial. % 0.92/1.14 apply (zenon_L722_); trivial. % 0.92/1.14 apply (zenon_L692_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_L4_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H1a. zenon_intro zenon_Ha5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H2a. zenon_intro zenon_Ha6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_He9 | zenon_intro zenon_H11c ]. % 0.92/1.14 apply (zenon_L721_); trivial. % 0.92/1.14 apply (zenon_L444_); trivial. % 0.92/1.14 apply (zenon_L723_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a. zenon_intro zenon_H208. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1cd. zenon_intro zenon_H209. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_L726_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_L712_); trivial. % 0.92/1.14 apply (zenon_L695_); trivial. % 0.92/1.14 apply (zenon_L718_); trivial. % 0.92/1.14 apply (zenon_L697_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H1a. zenon_intro zenon_H382. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H2ee. zenon_intro zenon_H383. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H2ef. zenon_intro zenon_H2ed. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H19a | zenon_intro zenon_H379 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_Heb | zenon_intro zenon_H37a ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.14 apply (zenon_L564_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_L727_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_L685_); trivial. % 0.92/1.14 apply (zenon_L544_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H1a. zenon_intro zenon_H37e. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H297. zenon_intro zenon_H37f. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H299. zenon_intro zenon_H298. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.14 apply (zenon_L623_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_L727_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_L685_); trivial. % 0.92/1.14 apply (zenon_L622_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H1a. zenon_intro zenon_H380. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H2ce. zenon_intro zenon_H381. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H2c5. zenon_intro zenon_H2c7. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d3 ]. % 0.92/1.14 apply (zenon_L657_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1a. zenon_intro zenon_H2d5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H20b. zenon_intro zenon_H2d6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H20c. zenon_intro zenon_H20a. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H46 | zenon_intro zenon_H202 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_L685_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H1a. zenon_intro zenon_H1f5. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H16f. zenon_intro zenon_H1f6. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H16d. zenon_intro zenon_H16e. % 0.92/1.14 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha4 ]. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e9 ]. % 0.92/1.14 apply (zenon_L319_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H1a. zenon_intro zenon_H1ea. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1e1. zenon_intro zenon_H1eb. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1e2. zenon_intro zenon_H1e0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H118 | zenon_intro zenon_H149 ]. % 0.92/1.14 apply (zenon_L548_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H1a. zenon_intro zenon_H14a. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H138. zenon_intro zenon_H14b. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H270 | zenon_intro zenon_H282 ]. % 0.92/1.14 apply (zenon_L571_); trivial. % 0.92/1.14 apply (zenon_L480_); trivial. % 0.92/1.14 apply (zenon_L531_); trivial. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1a. zenon_intro zenon_H204. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1be. zenon_intro zenon_H205. % 0.92/1.14 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1bf. zenon_intro zenon_H1c0. % 0.92/1.14 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H15 | zenon_intro zenon_H1f4 ]. % 0.92/1.14 apply (zenon_L685_); trivial. % 0.92/1.14 apply (zenon_L666_); trivial. % 0.92/1.14 Qed. % 0.92/1.14 % SZS output end Proof % 0.92/1.14 (* END-PROOF *) % 0.92/1.14 nodes searched: 35875 % 0.92/1.14 max branch formulas: 454 % 0.92/1.14 proof nodes created: 5276 % 0.92/1.14 formulas created: 39797 % 0.92/1.14 %------------------------------------------------------------------------------